Start with the story. Then go through each chapter, one lesson at a time. Each lesson has three short checks. Each chapter ends with a review. The unit ends with a wrap-up.
A skateboard looks simple: a board, two trucks, four wheels. Look closer and every part is an engineering decision. Seven thin plies of maple are glued and pressed into a curve. Wheels are cast from liquid chemicals and rated with a hardness gauge. Eight small steel bearings let those wheels spin thousands of times a minute. Ramps are curves drawn from circles, and their radius decides how hard a rider's legs must work.
This unit follows the engineer's way of thinking. You will see how layered wood and concave make a deck stiff without making it heavy, why a soft wheel wins on a rough street and loses at a smooth park, and why the ABEC number on a bearing box is about precision, not speed. Then you will design a ramp: use geometry to find its top angle and footprint, energy to predict a rider's speed, and centripetal acceleration to predict how heavy the rider will feel at the bottom.
By the end you will be able to explain the trade-offs behind a skateboard setup, read wheel and bearing labels correctly, and carry out a full ramp design calculation with each step shown. You will also know how ramps are framed and built safely, and how to check a design against the people who will ride it.
When it happened
1687
Isaac Newton publishes the Principia, with the laws of motion used to study ramps today
c. 1959
Store-made skateboards appear in California
1963
Larry Stevenson starts selling Makaha skateboards
1971
Larry Stevenson's kicktail patent is granted
Early 1970s
Frank Nasworthy's Cadillac Wheels bring urethane to skateboarding
Mid-1970s
Sealed precision bearings come into use on skateboards
1976
Carlsbad Skatepark in California and Skateboard City in Florida open
1976–77
A California drought leaves empty pools that skaters ride as transitions
1990
Skaters begin building Burnside skatepark under a Portland, Oregon, bridge
2002
The Tony Hawk Foundation starts helping communities build public skateparks
2020
The Tony Hawk Foundation is renamed The Skatepark Project
27
Chapter
Decks, Wheels and Bearings
Engineering
Big questionHow do engineers choose the wood, urethane and steel in a skateboard, and what does each choice give up?
The story
The Thumbnail Test
A shop worker uses one thumb to show why two wheels that look alike ride so differently.
A customer named Dani walks into a small skate shop with a cracked deck under one arm. She wants to build a new board for the concrete park across town. On the glass counter sit two sets of wheels. Both are white. Both are 54 millimeters across. To Dani they look exactly the same.
The shop worker, Marcus, picks up one wheel and presses his thumbnail hard into the riding surface. A small crescent-shaped dent appears and then slowly fades. He does the same to the second wheel. His nail barely marks it. "This one is 85A," he says, tapping the first. "This one is 99A. Same size, same color, very different ride."
He explains that the softer wheel squashes a little over cracks and pebbles. It grips the ground and smooths out the bumps on an old sidewalk. The harder wheel barely changes shape. On smooth park concrete it keeps more of its speed, and it slides when a skater wants it to. Dani realizes she has to decide where she will ride before she decides what to buy.
Then Marcus turns to the wall of decks. He flexes one between his hands and points to the stripes along its edge. "Seven layers of maple," he says. "Glued and pressed into this curve." He spins a wheel on a display truck, and it keeps turning for a long time. "And that is the bearings. Every part of this board is a choice somebody made."
Talk about itIf you could only buy one set of wheels for both a rough street and a smooth park, how would you decide on the hardness?
Section 1
The Deck
27.1
Seven Thin Layers of Maple
Main ideaMost decks are seven thin plies of hard maple glued together and pressed in a mold, which makes them strong, light and springy.
Look at the edge of almost any skateboard deck and you will see thin stripes. Each stripe is a , a sheet of wood usually under 2 millimeters thick. Most decks use seven plies of hard maple, a dense wood that grows in the northern United States and Canada. Stacked together, seven plies make a deck roughly 11 to 12 millimeters thick. That is thin enough to stay light and thick enough to survive landings.
The plies are not all laid the same way. Wood is strongest along its , the direction its fibers run. Most plies run with the grain along the board’s length, which resists bending from nose to tail. One or more plies run across the board. These cross layers stop the deck from splitting along the grain when a wheel or tail strikes hard. Builders call this a : thin layers glued so their strengths add up.
First, workers spread glue on each ply. Next, they stack the plies in order and set the stack in a mold shaped like the finished board. Then a hydraulic press squeezes the stack, and it stays under pressure while the glue sets. The mold gives the deck its upturned nose and tail and its curve from side to side. Finally, the pressed blank is cut to shape, drilled for the trucks, sanded and given a graphic.
Early boards from the 1960s were often a single plank of solid wood. A single plank can split along its grain and warp when it gets wet. Layered maple became the common choice because a laminate spreads stress across many glue lines. Some modern decks add layers of fiberglass, carbon fiber or bamboo, but seven-ply maple remains the most common recipe.
Words to know
ply
one thin sheet of wood in a layered deck; most decks have seven
grain
the direction the wood's fibers run; wood is strongest along it
laminate
a material made of thin layers glued together so their strengths combine
Check yourself
1. What is a ply in a skateboard deck?
Why: A ply is one thin sheet of wood; most decks glue seven of them together.
2. Why do one or more plies run across the board instead of along it?
Why: Cross plies hold the lengthwise fibers together so a hard hit does not split the deck along the grain.
3. Which step comes right after the glued plies are stacked?
Why: The stacked plies go into a mold in a press; cutting, drilling and graphics come after the glue sets.
27.2
Concave and Stiffness
Main ideaBending a deck into a side-to-side curve called concave makes it much stiffer and gives the feet edges to press against.
Hold a metal tape measure flat and push it out from the case. It droops after a short distance. Now let it curl into its normal curved shape. It can stick straight out much farther. The metal did not change. Only its cross-section, the shape you would see if you sliced it across, changed. A skateboard deck uses the same trick.
is the gentle side-to-side curve pressed into a deck, with the edges higher than the middle. Engineers describe a shape’s resistance to bending with the . The farther material sits from the bending line through the middle of the cross-section, the larger this number and the stiffer the part. Curving the deck moves its edges up and away from that line. The same seven plies become stiffer without adding any weight.
Concave also helps the feet. The raised edges, called rails, give the toes and heels something to press and catch. When a skater flicks off the toe-side edge for a kickflip, the curve guides where the foot leaves the board. Steep concave locks the feet in place. Mellow concave feels flatter and more open, and some skaters find it easier to stand on for long rides.
Stiffness also grows quickly with thickness. For a flat strip, stiffness rises with the cube of its thickness. A deck that is 10 percent thicker is about 1.1 × 1.1 × 1.1 = 1.33 times as stiff, a third stiffer. It is also about 10 percent heavier. Concave lets a maker gain stiffness without paying that weight cost.
Words to know
concave
the side-to-side curve in a deck, with the edges higher than the middle
second moment of area
a number engineers use for how a cross-section's shape resists bending; material far from the middle raises it
rails
the long side edges of a deck
Check yourself
1. What does concave do to a deck's stiffness?
Why: Curving the cross-section moves wood away from the middle line, raising the second moment of area and the stiffness.
2. A flat strip is made 10 percent thicker. About how much stiffer does it get?
Why: Stiffness grows with thickness cubed: 1.1 × 1.1 × 1.1 = 1.33, about a third stiffer.
3. Why does a curled tape measure stick out farther than a flat one?
Why: The metal is the same; its curved shape places material away from the bending line, so it resists bending.
27.3
Nose, Tail and Wheelbase
Main ideaThe kicked-up tail and nose make levers for tricks, and the wheelbase sets how stable or quick a board feels.
Larry Stevenson of Makaha received a patent for the in 1971. A kicktail is the upturned end of a deck. Pressing it lifts the front wheels like a seesaw, so a skater can turn sharply or pop the board into the air. Modern decks have a kick at both ends. The two ends are often shaped a little differently so a skater can tell the nose from the tail without looking.
The tail works as a lever. The back truck’s axle is the pivot. When the back foot pushes down on the tail, the rest of the board swings up around that axle. A longer, steeper tail gives the foot more distance from the pivot and lets it strike the ground sooner. A short, flat tail needs a bigger stomp to get the same lift.
The is the distance between the two trucks, usually measured between the inner mounting holes. A longer wheelbase spreads the wheels apart. The board feels steadier at speed and turns in wider arcs. A shorter wheelbase makes quick turns and spins easier but feels twitchier going fast. Many street decks have a wheelbase of about 35 to 37 centimeters, and longboards stretch much longer.
Width matters too. Many street and park decks today are about 20 to 22 centimeters wide. A wider deck gives bigger feet more room and more stability on landings. A narrower deck is lighter and easier to flip. A skater with large shoes on a narrow deck may catch the toes or heels on tricks. The best width is the one that fits the rider’s feet and style.
Words to know
kicktail
the upturned end of a deck that lets a skater lift the wheels; Larry Stevenson's patent was granted in 1971
wheelbase
the distance between the front and back trucks
pivot
the point a lever turns around; for an ollie, the back axle
Check yourself
1. In 1971, who received a patent for the kicktail?
Why: Larry Stevenson of Makaha received the kicktail patent in 1971.
2. When the back foot presses the tail, what does the board pivot around?
Why: The back axle is the pivot; the tail goes down and the nose rises around it.
3. What does a longer wheelbase usually give a board?
Why: Spreading the trucks apart makes a board steadier at speed but turns it in wider arcs.
Section 2
Wheels
27.4
Measuring Wheel Hardness
Main ideaWheel hardness is measured on the durometer A scale, from about 78A for soft wheels to about 101A for hard ones.
A is a small gauge that measures how hard a material is. It presses a spring-loaded pin, called an indenter, into the surface. A soft material lets the pin sink in, so the gauge reads low. A hard material pushes back, so the gauge reads high. Skate wheels are rated on the Shore A scale, written as a number followed by A, such as 85A.
Skate wheels run from about 78A to about 101A. Wheels around 78A to 87A are soft. They feel cushy, grip well and roll quietly over rough pavement. Wheels around 88A to 95A are in the middle. Wheels around 96A to 101A are hard. They are built for smooth skatepark concrete, wood ramps and street spots with smooth ground. The scale is not a straight line of feel, so a few points near the hard end can feel like a big change.
The A scale tops out at 100, and readings near the top are less precise. For that reason some wheel makers rate very hard wheels on a B scale. The B scale uses a different indenter and reads about 20 points lower than A for the same wheel. An 83B wheel is roughly a 103A wheel. If two labels use different letters, the numbers cannot be compared directly.
Marcus’s thumbnail trick from the shop is a rough version of a durometer. The softer wheel let his nail sink in and then slowly recovered. The harder wheel barely took a mark. A real gauge removes the guesswork by using the same pin and the same spring every time.
Words to know
durometer
a gauge that measures hardness by pressing a spring-loaded pin into a material
Shore A scale
the hardness scale used for most skate wheels, written like 85A or 99A
indenter
the pin in a durometer that presses into the material
Check yourself
1. How does a durometer measure hardness?
Why: A durometer presses a spring-loaded indenter into the material; a harder material resists more and reads higher.
2. Which wheel is softest?
Why: On the A scale, lower numbers are softer, so 78A is the softest of these.
3. Why can't you directly compare an 83B wheel with an 83A wheel?
Why: The B scale uses a different indenter and reads about 20 points lower, so 83B is roughly 103A.
27.5
Soft Wheels, Hard Wheels
Main ideaSoft wheels squash to grip and smooth rough ground; hard wheels keep their shape to roll fast and slide on smooth surfaces.
Every wheel flattens a little where it touches the ground. That flat spot is the . A soft wheel flattens more, so its contact patch is larger. A larger patch gives more grip in turns and spreads small bumps over a wider area, so the rider feels less shaking. A hard wheel flattens less. Its small patch grips less and lets the wheel slide more easily.
Squashing a wheel takes energy, and the urethane does not give all of it back as it springs into shape. The lost part turns into a little heat. This loss is called . On smooth concrete, a soft wheel keeps squashing and recovering with every turn, so it loses more energy than a hard wheel. That is one reason hard wheels feel faster at a skatepark. On rough ground the picture flips: a hard wheel bounces off every pebble while a soft wheel rolls over them.
Hard wheels are also chosen for slides. In a powerslide, the skater turns the board sideways and skids the wheels to slow down. A hard wheel breaks loose smoothly and slides. A soft wheel grips so well that it can stop suddenly and throw the rider forward. On a ledge or a smooth park, skaters who want to slide or land a sideways trick often pick wheels in the high 90s.
Grip and speed pull against each other. A commuter on old sidewalks values a quiet, smooth ride, so a soft wheel wins. A park skater values speed and slides on smooth ground, so a hard wheel wins. Many skaters who ride both pick something in the middle, around 90A to 95A, and accept a little of each problem.
Words to know
contact patch
the small flattened area where a wheel touches the ground
hysteresis
energy lost as heat when a material squashes and springs back
powerslide
turning the board sideways and skidding the wheels to slow down
Check yourself
1. Why does a soft wheel grip better?
Why: A soft wheel flattens more where it touches the ground, giving a larger contact patch and more grip.
2. What is hysteresis in a wheel?
Why: Hysteresis is energy lost as heat each time the material deforms and recovers.
3. A skater wants to do powerslides at a smooth park. Which wheel fits best?
Why: A hard wheel breaks loose and slides smoothly; soft wheels grip and can stop suddenly.
27.6
Wheel Size
Main ideaBigger wheels roll over cracks and hold speed; smaller wheels are lighter and lower, which helps flip tricks.
Wheel diameter is measured in millimeters across the wheel. Many street wheels are about 50 to 54 millimeters. Many park and transition wheels are about 54 to 60. Cruiser wheels are often 60 millimeters or larger. A larger wheel meets a crack at a gentler angle, so the crack is less likely to stop it. That is why cruisers and longboards use big wheels.
Smaller wheels have their own strengths. They weigh less, so the whole board is lighter to pop and flip. They also sit the deck closer to the ground, which some street skaters like for flip tricks and ledges. A larger wheel carries its momentum longer, which helps on a big bowl but adds weight to every ollie.
Large wheels bring one problem. In a sharp turn the deck tilts toward the wheel. If the wheel is big and the trucks are loose, the wheel can touch the bottom of the deck. This is . It stops the wheel instantly and can throw the rider. Builders prevent it by tightening the trucks a little, choosing a smaller wheel or adding a , a thin plastic spacer between the truck and the deck.
Diameter also sets how fast the wheel must spin. One turn of a wheel rolls the board one circumference forward, which is π times the diameter. A 54 mm wheel has a circumference of π × 0.054 m = 0.170 m. At 5 meters per second, about a fast jog, it turns 5 ÷ 0.170 = 29.4 times every second. That is about 1,760 turns per minute, which is why bearings matter.
Words to know
diameter
the distance straight across a wheel through its center, measured in millimeters
wheel bite
when a wheel touches the bottom of the deck in a turn and stops suddenly
riser pad
a thin spacer between the truck and the deck that lifts the deck higher
Check yourself
1. Why do cruiser boards often use large wheels?
Why: A bigger wheel meets a crack at a gentler angle, so it rolls over instead of stopping.
2. What is wheel bite?
Why: Wheel bite happens when the deck tilts in a turn and its underside touches the wheel, stopping it.
3. A 54 mm wheel has a circumference of 0.170 m. How many turns per second does it make at 3.4 m/s?
Why: Turns per second = speed ÷ circumference = 3.4 ÷ 0.170 = 20.
27.7
What Urethane Is
Main ideaUrethane wheels are cast from two liquids that react into a tough, elastic plastic, and changing the recipe changes the hardness.
In the early 1960s many skateboards rolled on steel wheels or on clay composite wheels borrowed from roller skates. Steel wheels skidded on small stones and shook the rider. Clay wheels wore quickly and grabbed poorly. In the early 1970s Frank Nasworthy began selling urethane wheels under the name Cadillac Wheels. The new wheels gripped and rolled smoothly, and they helped start skateboarding’s second boom.
, usually shortened to urethane, is a . A polymer is a material made of very long chain molecules built from many small repeating pieces. To make a wheel, a factory mixes two liquids. One is called a polyol and the other an isocyanate. When they meet, they react and link into long chains that also tie to one another. The liquid becomes a solid that is tough and springy.
Wheels are usually . The mixed liquid is poured into a mold around a core or hub, then cured with time and heat until it hardens. After curing, the wheel is trimmed and its riding surface is cut smooth on a lathe. The chemist can change the hardness by changing the mix. More tightly linked chains give a harder wheel. Looser chains give a softer, more elastic one.
Urethane suits wheels because it resists scraping and tearing better than rubber and stays springy over a wide range of temperatures. It wears slowly, but it does wear. A wheel used for many powerslides can develop a flat spot, a worn patch that makes the wheel thump on every turn. Rotating wheels to new positions helps them wear more evenly.
Words to know
polyurethane
a tough, springy plastic used for skate wheels; often called urethane
polymer
a material made of very long chain molecules built from small repeating pieces
cast
made by pouring a liquid into a mold and letting it harden
Check yourself
1. Who began selling urethane skateboard wheels as Cadillac Wheels in the early 1970s?
Why: Frank Nasworthy's Cadillac Wheels brought urethane to skateboarding in the early 1970s.
2. What is a polymer?
Why: A polymer is made of very long chain molecules built from many small repeating pieces.
3. How can a chemist make a urethane wheel harder?
Why: Changing the recipe so the chains are more tightly linked gives a harder wheel.
Section 3
Bearings
27.8
How a Ball Bearing Works
Main ideaBearings replace sliding with rolling, so a wheel spins on its axle with very little friction.
A skateboard wheel turns around a steel axle that does not move. If the wheel’s hole simply rubbed on the axle, sliding friction would slow it and wear both parts. A fixes this. A skateboard bearing is a ring of small steel or ceramic balls held between two steel rings, called races. The inner race sits on the axle and stays still. The outer race presses into the wheel and turns with it.
The balls roll instead of slide. Rolling friction is far smaller than sliding friction. For example, two dry steel parts sliding on each other might have a friction coefficient around 0.5, while a well-made ball bearing acts more like 0.001 to 0.005. A thin film of grease or oil, called , lowers it further and keeps the metal from wearing. A cage holds the balls evenly spaced so they do not rub against each other.
Almost every skateboard uses the same bearing size, called the 608. It has an 8 millimeter hole, a 22 millimeter outside diameter and a 7 millimeter width. Each wheel takes two bearings, one pressed into each side, so a board has eight. A small metal tube called a spacer can sit between the two bearings inside the wheel so that tightening the axle nut does not squeeze them sideways.
cover the sides of the bearing to keep out dirt and water. Some are thin metal; others are rubber seals that block more grit but add a little drag. Dirt is a bearing’s worst enemy. One grain of sand between a ball and a race acts like a speed bump on every turn.
Words to know
bearing
a ring of balls between two races that lets a wheel spin on an axle with little friction
lubricant
grease or oil that lowers friction and wear between moving parts
shields
covers on the sides of a bearing that keep dirt and water out
Check yourself
1. In a skateboard bearing, which part turns with the wheel?
Why: The outer race is pressed into the wheel and turns with it; the inner race sits still on the axle.
2. How many bearings does a full skateboard usually have?
Why: Each of the four wheels holds two bearings, so a board has eight.
3. Why do bearings lower friction?
Why: Rolling friction is much smaller than sliding friction, and the balls roll between the races.
27.9
ABEC Is Precision, Not Speed
Main ideaThe ABEC scale rates how precisely a bearing is made, not how fast a skateboard will roll.
Bearing boxes often print a big number: ABEC 3, ABEC 5, ABEC 7. Many buyers think a higher number means a faster board. It does not. stands for the Annular Bearing Engineering Committee, part of the American Bearing Manufacturers Association. Its scale uses odd numbers, 1, 3, 5, 7 and 9. Each step sets a tighter .
A tolerance is how far a real part may differ from its design size. If a bearing’s hole is designed to be 8 millimeters, a tolerance says how much bigger or smaller it may be and still pass. A higher ABEC grade allows smaller errors in the hole, the outside diameter and how true the rings run. Those tight tolerances matter in machines that spin thousands of times a minute for hours, such as precision tools.
The ABEC scale does not rate the things that matter most on a skateboard. It says nothing about the steel’s toughness, the quality of the balls, the lubricant, the shields or how the bearing handles side loads. A skateboard bearing takes hard sideways hits on every landing and every turn, which precision machines rarely feel. A well-made bearing with a low ABEC number can roll as well as or better than a poorly made one with a high number.
A board’s speed comes mostly from the rider’s push and the hill, the wheels and the ground, and how clean the bearings are. A clean, lightly lubricated ABEC 3 bearing will outroll a dirty ABEC 9. Some skate companies skip ABEC ratings and test bearings in their own ways for skateboard loads.
Words to know
ABEC
a scale from the Annular Bearing Engineering Committee that rates how precisely a bearing is made
tolerance
how far a real part may differ from its design size and still pass
precision
how closely a made part matches its design size and shape
Check yourself
1. What does a higher ABEC number mean?
Why: ABEC grades set tolerances; higher numbers mean smaller allowed errors in size and running accuracy.
2. Which is NOT rated by the ABEC scale?
Why: ABEC covers dimensions and running accuracy, not side loads, materials, lubricant or shields.
3. Which bearing will most likely roll better on a skateboard?
Why: Cleanliness and lubrication matter more for rolling than the ABEC grade.
27.10
Keeping Bearings Rolling
Main ideaBearings roll best when they are clean, lightly lubricated and not squeezed by an overtightened axle nut.
The axle nut holds the wheel on the truck. If it is too loose, the wheel wobbles and rattles. If it is too tight, it squeezes the bearings sideways and the wheel slows down. First, tighten the nut until it touches the speed washer. Next, back it off a small amount. Then spin the wheel. It should turn freely with only a tiny side-to-side play. Built-in spacers or speed rings help hold this setting.
Water and grit cause most bearing trouble. Riding through puddles can rust the races and balls. Rust makes a gritty, grinding sound and a wheel that stops quickly when spun. If a board gets wet, dry it and spin the wheels before storing it. A bearing that grinds even when clean is worn and should be replaced. Bearings are inexpensive compared with an injury from a wheel that locks up.
To clean bearings, a skater removes the wheels, pries or presses the bearings out with a bearing tool or the truck axle, and gently removes the shields if the design allows. They wash out old grease and dirt with a cleaner the bearing maker recommends, dry the bearings completely and add a few drops of skate lubricant. Too much lubricant attracts more dirt. Working at a table with a towel catches tiny parts and keeps the balls out of the carpet.
Skaters can test a bearing with a spin. Hold the board upside down and flick a wheel. A healthy bearing spins smoothly and quietly and slows gradually. A wheel that stops in a second or two, grinds or wobbles is telling you something. Checking the axle nuts and spins before a session is a fast safety habit.
Words to know
axle nut
the nut that holds the wheel on the truck's axle
speed washer
a thin metal ring between the bearing and the axle nut or truck
rust
damage to steel caused by water and air, which makes bearings grind
Check yourself
1. What happens if the axle nut is tightened too much?
Why: An overtightened nut presses the bearings sideways, adding friction.
2. Why should a skater avoid adding too much lubricant?
Why: Extra lubricant collects dirt, which slows the bearing.
3. A wheel grinds and stops quickly even after cleaning. What is the best choice?
Why: A bearing that still grinds when clean is worn and should be replaced.
Section 4
Engineering Trade-Offs
27.11
No Part Is Best at Everything
Main ideaEvery skateboard part trades one strength for another, so engineers start from where and how the board will be ridden.
Engineers call the conditions a design must meet its . A park board must survive hard landings and roll fast on smooth concrete. A commuter board must glide over cracks and stay quiet. A street board must be light enough to flip. The limits they cannot change, like cost, weight or the size of a rider’s foot, are . The best design is the one that fits the job.
Each choice gains something and gives something up. This is a . A thicker deck is stiffer and stronger but heavier. A wider deck is steadier but harder to flip. A soft wheel grips and smooths rough ground but feels slower on smooth concrete. A big wheel rolls over cracks but adds weight and risks wheel bite. Rubber seals keep out grit but add a little drag.
Here is a worked example. A deck goes from seven plies to eight, so it becomes 8 ÷ 7 = 1.14 times as thick, about 14 percent thicker. Its stiffness rises by 1.14 × 1.14 × 1.14 = 1.49, about 49 percent. Its weight also rises by about 14 percent. A maker deciding whether that trade is worth it would ask who rides the board. A heavy rider on big ramps might want the stiffness. A street skater flipping the board all day might not.
Good engineering also tests the guesses. A maker can bend sample decks with a known weight and measure how far they sag, drop them onto concrete again and again, or ride them for weeks and look for cracks. Results lead to changes, and the changes are tested again. This loop of design, test and improve is how boards changed from planks in the 1960s to the shaped laminates of today.
Words to know
requirements
the conditions a design must meet to do its job
constraints
limits a design cannot change, such as cost, weight or size
trade-off
a choice that gains one strength by giving up another
Check yourself
1. What is a trade-off in design?
Why: A trade-off means a choice gains something, like stiffness, while giving up something, like low weight.
2. A deck goes from 7 to 8 plies. About how much stiffer does it get?
Why: Thickness rises by 8 ÷ 7 = 1.14, and stiffness by 1.14 cubed, about 1.49, or 49 percent.
3. Which is a constraint rather than a requirement?
Why: A price limit is a constraint the design cannot change; the others describe what the board must do.
27.12
Matching a Setup to the Ground
Main ideaA good setup matches deck, wheels and bearings to the ground and the kind of riding the skater plans to do.
Start with the ground. Smooth skatepark concrete or wood ramps reward hard wheels, around 95A to 101A, because they keep their speed and slide when needed. Rough streets, old sidewalks and outdoor courts reward softer wheels, around 78A to 90A, because they absorb bumps and grip. A skater who rides both can split the difference in the low 90s.
Next, pick a size. Street and flat-ground tricks favor smaller wheels, about 50 to 54 millimeters, and a deck that fits the feet without extra weight. Bowls and ramps favor slightly bigger wheels, about 54 to 60 millimeters, and often a wider deck for steady landings at speed. A cruiser for getting around may use wheels of 60 millimeters or more, with riser pads to prevent wheel bite.
Then think about the rider. A tall rider with large feet may want a wider deck so the toes and heels do not hang far over the rails. A beginner often feels safer on a wider, steadier board with medium wheels. Comfort and confidence help a learner practice more, and practice matters more than any part.
Safety comes with every setup. Before riding, check that the axle nuts are on, the wheels spin freely and the trucks are tight enough to stop wheel bite. Then put on a helmet that fits and is buckled, plus wrist guards and pads while learning. A board tuned for the ground is easier to control, and control is what keeps a session safe.
Words to know
setup
the combination of deck, trucks, wheels and bearings on one board
cruiser
a board built for riding around town, usually with large soft wheels
transition
the curved part of a ramp or bowl between the flat ground and the wall
Check yourself
1. Which wheels fit a rider who skates a smooth concrete bowl?
Why: Hard wheels keep their speed and slide well on smooth concrete.
2. Why might a cruiser board need riser pads?
Why: Large wheels can touch the deck in turns; riser pads lift the deck to prevent wheel bite.
3. What should a skater check on the board before riding?
Why: Checking the axle nuts, wheel spin and truck tightness catches problems before they cause a fall.
Chapter review
Decks, Wheels and Bearings
0 / 8
1. How many plies of maple do most skateboard decks use?
Why: Most decks are made of seven thin plies of hard maple.
2. What does concave add to a deck?
Why: The side-to-side curve raises stiffness and gives the feet rails to press against.
3. Which wheel hardness best fits rough, cracked sidewalks?
Why: Soft wheels around 80A absorb bumps and grip on rough ground.
4. What does a durometer measure?
Why: A durometer measures hardness by how far a spring-loaded pin sinks into the surface.
5. What does the ABEC scale rate?
Why: ABEC classes set tolerances for a bearing's size and running accuracy, not speed.
6. What are urethane wheels made from?
Why: Urethane wheels are cast from a polyol and an isocyanate that link into long chains.
7. A 60 mm wheel has a circumference of 0.188 m. About how many turns per second does it make at 5 m/s?
Why: Turns per second = 5 ÷ 0.188 = about 26.6, so about 27.
8. Why do hard wheels often feel faster on smooth park concrete?
Why: A hard wheel deforms less, so it loses less energy as heat with every turn on smooth ground.
Send it to your teacher
28
Chapter
Ramps by Design
Engineering
Big questionHow can the shape of a curve be chosen with physics so a ramp is fun, safe and right for the people who ride it?
The story
Two Curves on the Table
A youth club must choose between two ramp plans that look almost the same from above.
On a folding table in a community center, two ramp plans lie side by side. Both are mini ramps 1.2 meters tall. Both have a flat stretch in the middle and a platform at each end. A volunteer named Teresa, who has built ramps for years, has drawn both. She asks the club's teenagers to pick one.
The first plan has a tight curve. Its transition is drawn from a circle with a radius of 1.5 meters. The ramp is short and fits easily in the small lot behind the building. The second plan uses a wide curve with a radius of 2.5 meters. It is longer, needs more plywood and stretches nearly to the fence.
A skater named Jalen likes the tight curve. "It looks steeper," he says. "More exciting." A younger rider named Ana frowns. She has felt a tight ramp before. "At the bottom it squishes you," she says. "Your knees fold if you are not ready." Teresa smiles and takes out a calculator.
"Ana felt something real," she says. "We can measure it before we buy a single board." She writes two lines on the plan: the speed a rider will have at the bottom, and how heavy the rider will feel there. The numbers for the two curves are not the same. The group leans in to see why.
Talk about itWithout doing any math yet, which curve do you think will make riders feel heavier at the bottom, and why?
Section 1
The Shape of a Transition
28.1
A Curve From a Circle
Main ideaMost ramp transitions are arcs cut from a circle, and the circle's radius sets how tight or mellow the curve feels.
A is the curved surface that joins flat ground to the wall of a ramp. Skaters often call it tranny, and riding ramps and bowls is called transition skating. The first transitions people skated were the curved walls of empty backyard swimming pools during the California drought of 1976 and 1977. Builders later copied those curves in wood and concrete.
Most ramp builders draw a transition as part of a circle. The is the distance from the circle’s center to its edge. A quarterpipe uses one quarter of a circle or less. If the curve runs a full quarter, from flat to straight up, the ramp’s height equals the radius. A circle with a 1.5 meter radius makes a curve that reaches vertical 1.5 meters off the ground.
A small radius makes a tight curve. The rider turns from flat to steep in a short distance. A large radius makes a wide, mellow curve. The rider turns more gradually and has more room to react. Two ramps of the same height can feel completely different because their radii differ.
A ramp does not have to reach vertical. A mini ramp often stops before the curve gets straight up, so its top edge is steep but still tilted. A vert ramp continues the curve to vertical and then adds a short straight-up section on top. Vert ramps are usually more than 3 meters tall and are for experienced riders.
Words to know
transition
the curved surface that joins flat ground to the wall of a ramp or bowl
radius
the distance from the center of a circle to its edge; it sets how tight a transition is
quarterpipe
a single ramp whose curve is part of a quarter circle
vert ramp
a tall ramp whose curve reaches straight up, with a vertical section on top
Check yourself
1. What is a transition?
Why: A transition is the curve that joins the flat ground to the wall.
2. A quarterpipe's curve runs a full quarter circle from flat to vertical. Its radius is 2 meters. How tall is the curve?
Why: When the curve runs a full quarter to vertical, its height equals the radius, so 2 meters.
3. Which ramp has the tighter curve?
Why: A smaller radius bends from flat to steep in a shorter distance, so 1.5 meters is tightest.
28.2
How Steep Is the Top?
Main ideaIf a ramp stops before vertical, geometry tells you how steep its top edge is and how long the curve runs along the ground.
A curve cut from a circle rises slowly at first and then faster. The height reached after the curve turns through an angle θ is h = r(1 − cos θ). Here r is the radius and θ is measured from flat ground. At θ = 90 degrees, cos θ is 0, so the height is the full radius. That is a vertical wall.
Here is a worked example. A builder wants a ramp 1.2 meters tall using a radius of 1.8 meters. First, divide: 1.2 ÷ 1.8 = 0.667. Next, solve 1 − cos θ = 0.667, so cos θ = 0.333. Then find the angle whose cosine is 0.333, which is about 70.5 degrees. The top edge of this ramp tilts at about 70 degrees from flat, steep but not vertical.
The same circle tells how long the curve runs along the ground. The horizontal length is r × sin θ. For this ramp it is 1.8 × sin 70.5° = 1.8 × 0.943 = 1.70 meters. The builder now knows that each side of the ramp needs about 1.7 meters of floor space for the curve alone, before adding any flat bottom or platform.
These two numbers, the top angle and the floor length, guide most design choices. A larger radius at the same height gives a gentler top angle but a longer footprint. A smaller radius gives a steeper top in less space. Space, budget and the riders’ skill decide which way to go.
Words to know
angle
the amount a line or surface turns, measured in degrees; flat is 0 and straight up is 90
footprint
the area of ground a ramp covers
cosine
a ratio from geometry that links an angle to the sides of a right triangle; used to find how high a curve rises
Check yourself
1. For a curve with radius r turning through angle θ, which formula gives its height?
Why: The height of a circular arc after turning through θ is r(1 − cos θ).
2. A ramp is 1.2 m tall with a 2.4 m radius. What is cos θ at the top?
Why: cos θ = 1 − 1.2 ÷ 2.4 = 1 − 0.5 = 0.5, which is 60 degrees.
3. Keeping the height the same, what does a larger radius do?
Why: A larger radius bends less before reaching the set height, so the top is gentler and the curve runs longer.
28.3
Coping, Platform and Flat Bottom
Main ideaThe coping, the platform and the flat bottom each give riders something they need: a grinding edge, a safe place to start and time between walls.
The is the edge at the top of a transition. On a wooden ramp it is usually a round steel pipe fixed so it sticks out just past the riding surface. In a concrete pool or bowl it is often a row of stone or concrete blocks, a reminder of the backyard pools where skaters first rode it. Coping gives the trucks a hard, smooth edge to grind and gives the rider a clear signal that the wall has ended.
Behind the coping sits the , a flat deck where riders stand, wait their turn and start runs. A platform needs room to stand with a board and to step back safely. On taller ramps, a guardrail along the back keeps people from stepping off the edge. Riders set the tail on the coping here before dropping in.
The is the level stretch between two transitions on a halfpipe. Without it, a rider would go from one curve straight into the next. A flat bottom gives a moment to settle, shift the feet and get ready for the next wall. Ignoring friction, it does not change the rider’s speed, because a level surface neither raises nor lowers them. It does add length, cost and time.
A mini ramp for a youth club might have a flat bottom a few meters long. Too short and the walls come too fast. Too long and riders lose speed to friction before reaching the other side. Builders choose a length that fits the riders and the space, then mark it on the plan before cutting any wood.
Words to know
coping
the edge at the top of a transition, often a steel pipe or stone blocks, used for grinds
platform
the flat deck at the top of a ramp where riders stand and start runs
flat bottom
the level stretch between two transitions on a halfpipe
Check yourself
1. What is the coping on a wooden ramp usually made of?
Why: Wooden ramps usually have a steel pipe at the top edge for the coping.
2. Ignoring friction, what does a flat bottom do to a rider's speed?
Why: A level surface neither raises nor lowers the rider, so with no friction the speed stays the same.
3. Why do taller ramps have a guardrail on the platform?
Why: A guardrail along the back keeps people from falling off a high platform.
Section 2
Energy on the Ramp
28.4
Height Becomes Speed
Main ideaAs a rider drops down a transition, potential energy turns into kinetic energy, so the drop height predicts the speed at the bottom.
A rider standing at the coping of a 1.2 meter ramp has stored energy because of height. This is , equal to mgh: mass times g times height. For a 60 kilogram rider, it is 60 × 9.8 × 1.2 = 705.6 joules. A joule is the SI unit of energy, about the energy needed to lift a small apple one meter.
As the rider drops in, height turns into motion. Motion energy is , equal to ½mv². If no energy were lost, all 705.6 joules would become kinetic energy at the bottom. Setting mgh = ½mv² and cancelling the mass gives v = √(2gh). The mass cancels, so a light rider and a heavy rider reach the same speed in this ideal case.
Work it through. With h = 1.2 m, v = √(2 × 9.8 × 1.2) = √23.52 = 4.85 meters per second. That is about 17 kilometers per hour. The shape of the curve does not change this answer. A tight curve and a wide curve of the same height give the same ideal speed at the bottom, because only the height drop counts.
The same idea runs backward. A rider moving at 4.85 meters per second at the bottom can, with no losses, coast up to 1.2 meters on the other wall. The rule of says energy is not created or destroyed; it changes form. This is why a rider rolling back and forth can predict how high each wall will carry them.
Words to know
potential energy
stored energy from height, equal to mass × g × height (mgh)
kinetic energy
energy of motion, equal to one half × mass × speed squared
conservation of energy
the rule that energy is not created or destroyed, only changed in form
Check yourself
1. A 50 kg rider stands at the top of a 1.0 m ramp. What is the potential energy?
Why: PE = mgh = 50 × 9.8 × 1.0 = 490 joules.
2. Why do a light rider and a heavy rider reach the same ideal speed at the bottom?
Why: Mass appears on both sides of mgh = ½mv², so it cancels and v = √(2gh).
3. Two ramps are the same height but one has a tighter curve. With no friction, which gives more speed at the bottom?
Why: Only the drop height sets the ideal speed, so both curves give the same speed.
28.5
Losses and Pumping
Main ideaFriction and air drain energy on every pass, and riders replace it by pumping: crouching high and pressing up through the bottom of the curve.
In real life a rider never quite reaches the starting height on the next wall. Rolling resistance in the wheels, friction in the bearings and air pushing on the body turn some energy into heat. Suppose a 60 kilogram rider drops from 1.2 meters and coasts up only 1.0 meter on the other side. The energy lost is mg times the difference: 60 × 9.8 × 0.2 = 117.6 joules, about one sixth of the 705.6 joules they started with.
Riders make up for the loss without pushing off the ground. They . First, the rider stays low in a crouch as the board rolls down from the top of the wall. Next, as the board passes through the bottom of the curve, the rider presses up through the legs and stands taller. Then they crouch again near the top of the next wall. Done well, each pass climbs a little higher.
Pumping works because the rider pushes hardest where the ramp pushes back hardest. At the bottom of the curve the board presses up with extra force, so standing up there takes more work than it gives back when the rider crouches near the top, where the push is weaker. The extra work becomes extra energy. A child on a swing adds energy in a similar way by moving their body at the right moments.
A common problem is pumping on the flat bottom instead of the curve. Standing up on flat ground adds nothing, because the floor pushes back only with normal body weight. Another problem is leaning back on the wall, which makes the board shoot out. The fix is to keep the shoulders over the board, square to the ramp surface, and to save the push for the curve.
Words to know
pump
to gain speed on a ramp by crouching and then pressing up through the legs at the bottom of the curve
rolling resistance
the drag that slows a rolling wheel as it squashes against the ground
joule
the SI unit of energy
Check yourself
1. A 60 kg rider drops from 1.0 m and only reaches 0.8 m on the next wall. How much energy was lost?
Why: Energy lost = mg × height difference = 60 × 9.8 × 0.2 = 117.6, about 118 joules.
2. When does a rider press up through the legs to pump?
Why: Pumping works by pressing up where the ramp pushes back hardest, at the bottom of the curve.
3. A rider keeps leaning back on the wall and the board shoots out. What helps?
Why: Staying square to the ramp surface keeps the weight over the board so it does not shoot out.
28.6
Dropping In With Energy in Mind
Main ideaDropping in turns a standing rider's height into speed, and committing the front foot keeps the board under the body.
Dropping in means starting a run from the top of a ramp instead of rolling in from the flat. It is the moment when the most potential energy turns into motion. Learn it on a small ramp, with a helmet that fits and is buckled, wrist guards and knee pads, and with a friend or coach nearby. Many learners first practice by rolling up a ramp and riding back down fakie, so they know the feel of the curve.
First, set the tail on the coping with the back wheels hooked behind it and the back foot on the tail. Next, put the front foot over the front bolts. Then lean forward and press the front foot down firmly, so the front wheels touch the ramp and the body moves with the board. The board drops and rolls away, and the rider rides it down in a low, balanced crouch.
The physics explains the most common problem. If the rider leans back, the board accelerates down the slope but the body stays behind at the top. The board shoots ahead and the rider falls backward. Committing the front foot keeps the body’s center of mass over the board as both speed up together.
Falling small is part of learning. If a drop-in goes wrong, crouch low, let the knee pads touch first and slide down the transition on them. Do not reach back with locked straight arms, which is how many wrist injuries happen. Fear before a drop-in is a normal signal. Breaking the move into smaller steps, such as practicing on a lower ramp, helps it shrink.
Words to know
drop in
to start a run from the coping at the top of a ramp
fakie
rolling backward while standing in your normal stance
center of mass
the point where an object's mass is balanced; for a rider, near the hips
Check yourself
1. Where does the back foot go to set up a drop-in?
Why: The tail sits on the coping with the back foot on it; the front foot goes over the front bolts.
2. Why does leaning back cause a fall on a drop-in?
Why: The board accelerates down the slope while the body stays back, so the board shoots out.
3. What is the safer way to fall on a ramp?
Why: Crouching and sliding on knee pads spreads the impact; straight arms often lead to wrist injuries.
Section 3
Forces in the Curve
28.7
Why Riders Feel Heavier
Main ideaAt the bottom of a curve, the ramp must push up extra hard to bend the rider's path, so the rider feels heavier.
Anything moving in a circle is accelerating toward the circle’s center, even at a steady speed, because its direction keeps changing. This is , and it equals v²/r: speed squared divided by the radius. At the bottom of a transition, the center of the circle is above the rider. So the ramp must push up harder than usual to curve their path upward.
The upward push of a surface is the . On flat ground it equals body weight, mg. At the bottom of the curve, Newton’s second law gives N − mg = mv²/r, so N = m(g + v²/r). The rider’s legs feel that larger force. Riders sometimes describe it as the ramp squishing them, which is what Ana felt in the story.
Work it through for a 60 kilogram rider who drops in from 1.2 meters on a curve with a 2.0 meter radius. The speed at the bottom is 4.85 meters per second, so v² = 23.52. Then v²/r = 23.52 ÷ 2.0 = 11.76 m/s². The normal force is 60 × (9.8 + 11.76) = 60 × 21.56 = 1,293.6 newtons. Body weight is 60 × 9.8 = 588 newtons, so the rider feels about 2.2 times as heavy.
There is a shortcut. Because v² = 2gh after a drop from height h, the felt weight at the bottom is 1 + 2h ÷ r times normal. For the 1.2 meter drop on a 2.0 meter radius, that is 1 + 2.4 ÷ 2.0 = 2.2. If the drop height equals the radius, the rider feels three times as heavy. This simple model treats the rider as a point and ignores friction.
Words to know
centripetal acceleration
the acceleration toward the center of a curve, equal to speed squared ÷ radius (v²/r)
normal force
the push of a surface straight out from it, against whatever presses on it
newton
the SI unit of force
Check yourself
1. What is the formula for centripetal acceleration?
Why: Centripetal acceleration equals speed squared divided by the radius, v²/r.
2. A rider moves at 4 m/s at the bottom of a curve with a 2 m radius. What is the centripetal acceleration?
Why: v²/r = 4 × 4 ÷ 2 = 16 ÷ 2 = 8 m/s².
3. Why does a rider feel heavier at the bottom of a transition?
Why: The normal force must supply mg plus mv²/r to bend the path upward, so the legs feel more force.
28.8
Why Tight Curves Feel Harder
Main ideaA tighter curve gives a bigger and more sudden jump in force and less time to react, so it demands more strength and skill.
Look again at the shortcut: felt weight = 1 + 2h ÷ r. The height is fixed by the ramp, so a smaller radius makes the number larger. In Teresa’s plans, both ramps are 1.2 meters tall. The 1.5 meter radius gives 1 + 2.4 ÷ 1.5 = 2.6 times body weight. The 2.5 meter radius gives 1 + 2.4 ÷ 2.5 = 1.96, about 2 times. The tight curve asks the legs to hold about 30 percent more force.
The force also arrives suddenly. On the flat bottom, a rider feels normal weight. The moment the wheels enter the curve, the felt weight jumps to its high value. Riders feel this as a jolt. Builders use the word for a harsh, sudden change in the surface itself, such as a bump or angle where the curve meets the flat, and a kink makes the jolt worse. A badly built ramp with a bump or flat spot where the curve meets the flat makes the kink worse. Smooth joints and a carefully drawn curve make the change feel gentler.
A tight curve also leaves less time. The rider covers the curve in a shorter distance, so there is less time to shift weight, bend the knees and stay square to the surface. Small errors grow fast. A mellow curve gives a learner more time to feel what is happening, which is why beginner ramps usually have wide transitions and low walls.
Tight curves are not wrong. Many experienced riders like them because they turn the board quickly and throw the rider up the wall. The point is fit. A ramp for a youth club with many beginners usually gets a wider radius. A ramp for advanced riders in a small space may use a tighter one.
Words to know
kink
a harsh, sudden change in a ramp's curve that riders feel as a jolt
mellow
skater word for a gentle, gradual curve or slope
felt weight
how heavy a rider feels, set by the normal force pushing up on them
Check yourself
1. Using felt weight = 1 + 2h ÷ r, what is the felt weight for h = 1.0 m and r = 2.0 m?
Why: 1 + 2 × 1.0 ÷ 2.0 = 1 + 1 = 2.0 times body weight.
2. What is a kink on a ramp?
Why: A kink is an abrupt change in the curve that riders feel as a jolt.
3. Why do beginner ramps usually have wide transitions?
Why: A larger radius lowers the felt weight and gives more time on the curve.
Section 4
Building a Ramp
28.9
Ribs, Stringers and Plywood
Main ideaA wooden ramp is a frame of curved ribs joined by stringers and covered with layers of thin plywood bent to the curve.
Most wooden ramps share one structure. The sides are , flat pieces of thick plywood cut to the shape of the transition. Builders draw the curve on the first rib with a string and pencil, cut it, and trace it to make matching ribs. Ribs are spaced along the width of the ramp, with extra ribs for wider ramps, so the surface never spans a long gap.
Between the ribs run , pieces of framing lumber laid across the curve like rungs on a ladder. They sit close together, often every 20 to 30 centimeters, so the surface is supported at many points. Closer spacing is needed where the curve is steep and where riders land hardest, near the bottom.
The riding surface goes on in layers. Thin plywood bends to the curve without cracking, so builders screw down two or more thin layers, one over the other. They stagger the seams so the joints in one layer do not line up with the joints in the next. That keeps the surface from forming a ridge where sheets meet. A smooth top layer goes on last.
The coping is bolted along the top edge of the transition so it sits slightly proud, meaning it sticks out a little past the riding surface. The platform is framed like a small floor behind it. For an outdoor ramp, builders choose wood rated for weather, raise the frame off the ground and cover the ramp in rain, because wet plywood swells, warps and rots.
Words to know
ribs
flat pieces of plywood cut to the shape of the transition that form a ramp's sides and frame
stringers
framing pieces that run across between ribs to support the riding surface
stagger
to place joints so they do not line up from one layer to the next
Check yourself
1. What are the ribs of a ramp?
Why: Ribs are plywood pieces cut to the curve; they form the ramp's frame.
2. Why do builders stagger the seams in the surface layers?
Why: Staggering keeps joints in one layer from lining up with joints below, so the surface stays smooth.
3. Why are stringers placed closer together near the bottom of the curve?
Why: The bottom of the curve takes the largest forces, so it needs more support.
28.10
Building Safely
Main ideaSafe ramp building means protecting the builders, choosing a good site and checking the finished ramp before every session.
Building a ramp uses saws, drills and heavy sheets of wood. Young builders work with an experienced adult who runs the power tools or watches closely. Everyone wears safety glasses, and hearing protection when saws run. Gloves help when carrying plywood, but builders keep loose gloves and sleeves away from spinning blades. Cords are kept out of walkways so no one trips.
Pick the site before buying wood. A ramp needs firm, level ground, with clear space around it and nothing hard nearby for a rider to hit. It should be away from streets, driveways and parked cars. Many towns have rules about structures in yards or shared spaces, so builders ask the property owner and check local rules first.
Details on the surface matter. Every screw head is driven slightly below the surface so wheels and knee pads do not catch on it. Sheet edges are sanded smooth. The coping is bolted tight, and its ends are capped or rounded. The first ramp a group builds should be small, because a low ramp is easier to learn on and a fall from it is shorter.
A finished ramp still needs care. Before each session, someone walks the surface looking for loose screws, cracked sheets, soft spots and gaps at the seams. Rain and sun wear plywood down, so the ramp is covered when not in use. A damaged section is fixed before anyone rides it again.
Words to know
safety glasses
protective eyewear worn when cutting, drilling or sanding
countersink
to drive a screw head slightly below the surface so nothing catches on it
inspection
a careful check of a ramp for damage before it is ridden
Check yourself
1. Why should every screw be countersunk?
Why: Driving screws below the surface keeps heads from catching wheels or pads.
2. Which is the best site for a backyard ramp?
Why: A ramp needs firm, level ground with clear space and no traffic.
3. What should happen before each riding session?
Why: A quick inspection catches damage before anyone rides on it.
28.11
A Worked Design Problem
Main ideaGood ramp design puts the numbers together: height, radius, top angle, footprint, speed and felt weight, then checks them against the riders.
Return to the youth club. The lot is 9 meters long. The club wants a mini ramp 1.2 meters tall for mostly beginner and intermediate riders. Teresa proposes a 1.8 meter radius. The lot also needs room to walk around the ramp. Here is the full check, step by step, using the formulas from the earlier lessons.
First, the top angle. cos θ = 1 − 1.2 ÷ 1.8 = 0.333, so θ is about 70.5 degrees: steep but not vertical. Second, the footprint of each curve. Its length is 1.8 × sin 70.5° = 1.8 × 0.943 = 1.70 meters. Third, the speed at the bottom. v = √(2 × 9.8 × 1.2) = √23.52 = 4.85 meters per second, ignoring losses.
Fourth, the felt weight at the bottom: 1 + 2 × 1.2 ÷ 1.8 = 1 + 1.33 = 2.33 times body weight. That sits between the tight plan’s 2.6 and the wide plan’s 1.96. Fifth, the total length. Two curves at 1.70 meters each make 3.40 meters. A flat bottom of 2.4 meters brings it to 5.80 meters. Two platforms of 1.2 meters each add 2.40, for 8.20 meters. That fits the 9 meter lot with 0.80 meters to spare.
The design is not finished just because it fits. The club still checks the budget for plywood and lumber, plans staggered seams and close stringers at the bottom, and confirms a guardrail on each platform. If many riders are brand new, Teresa might also lower the ramp to 0.9 meters. Engineering is the habit of testing each choice against the people who will use it.
Words to know
design problem
a task with requirements and limits that is solved by planning, calculating and checking
mini ramp
a small halfpipe whose walls usually stop before vertical
halfpipe
a ramp with two facing transitions and usually a flat bottom between them
Check yourself
1. For h = 1.2 m and r = 1.8 m, what is the felt weight at the bottom?
Why: 1 + 2 × 1.2 ÷ 1.8 = 1 + 1.33 = 2.33 times body weight.
2. The two curves are 1.70 m each, the flat bottom 2.4 m and each platform 1.2 m. What is the total length?
Why: 1.70 + 1.70 + 2.4 + 1.2 + 1.2 = 8.20 meters.
3. Why might the club lower the ramp to 0.9 meters?
Why: A lower ramp means less speed, lower forces and shorter falls for new riders.
Chapter review
Ramps by Design
0 / 8
1. What sets how tight or mellow a transition is?
Why: A transition is an arc of a circle; a smaller radius makes a tighter curve.
2. A rider drops 2.0 m with no friction. What is the speed at the bottom?
Why: v = √(2 × 9.8 × 2.0) = √39.2 = about 6.3 m/s.
3. Which energy change happens as a rider drops down a transition?
Why: Height energy (potential) becomes motion energy (kinetic) as the rider drops.
4. Where does a rider press up through the legs to pump?
Why: Pressing up where the ramp pushes back hardest, in the bottom of the curve, adds energy.
5. After a 1.5 m drop on a curve with a 1.5 m radius, how heavy does a rider feel at the bottom?
Why: 1 + 2h ÷ r = 1 + 2 × 1.5 ÷ 1.5 = 3 times body weight.
6. What is the coping used for?
Why: The coping is the edge at the top of the curve that riders grind and use to set up drop-ins.
7. Why are thin layers of plywood used for the riding surface?
Why: Thin plywood bends to the transition's curve; several layers give the needed strength.
8. What does a drop-in setup look like?
Why: The tail sits on the coping with the back foot on it, and the front foot goes over the front bolts.
Send it to your teacher
★
Unit wrap-up
Engineering the Board and the Ramp
Twelve words, twelve meanings
0 / 12
Tap a word, then tap its meaning. A right pair locks in green.
Words
Meanings
Unit test
Fifteen questions across the unit
0 / 15
1. What is most often used to make a skateboard deck?
Why: Most decks are seven thin plies of hard maple glued and pressed.
2. Why do some plies in a deck run across the board?
Why: Cross plies hold the lengthwise fibers together so the deck resists splitting.
3. A deck is made 20 percent thicker. About how much stiffer does it get?
Why: Higher numbers on the A scale are harder, so 101A is hardest.
5. Why does a soft wheel ride smoothly on rough ground?
Why: A soft wheel deforms over pebbles and cracks and spreads bumps over a larger contact patch.
6. What problem do riser pads help prevent?
Why: Riser pads lift the deck so large wheels do not touch it in turns.
7. What does a higher ABEC grade mean?
Why: ABEC classes set limits on size and running accuracy; higher means tighter limits.
8. In a bearing, why does friction stay low?
Why: Rolling friction is much smaller than sliding friction.
9. A 54 mm wheel (circumference 0.170 m) rolls at 6.8 m/s. How many turns per second?
Why: 6.8 ÷ 0.170 = 40 turns per second.
10. A curve has radius 3.0 m and the ramp is 1.5 m tall. What is cos θ at the top?
Why: cos θ = 1 − 1.5 ÷ 3.0 = 0.5, which is 60 degrees.
11. With no friction, what speed does a rider reach after a 0.9 m drop?
Why: v = √(2 × 9.8 × 0.9) = √17.64 = 4.2 m/s.
12. A 70 kg rider moves at 4 m/s at the bottom of a 2 m radius curve. What is the normal force?
Why: N = m(g + v²/r) = 70 × (9.8 + 8) = 70 × 17.8 = 1,246 N.
13. Why does a tighter curve feel harder on the legs?
Why: Felt weight is 1 + 2h ÷ r, so a smaller radius raises the force, and the curve passes faster.
14. When a rider pumps, where do they press up through the legs?
Why: Pressing up where the ramp pushes hardest, at the bottom of the curve, adds energy.
15. Which step makes a ramp's surface safer for wheels and knee pads?
Why: Countersunk screws sit below the surface so nothing catches on them.
Send it to your teacher
Spiral review
Five questions from earlier units
0 / 5
1. (Unit 13) Who founded Skateistan, and in what year?
Why: Oliver Percovich founded Skateistan in Kabul in 2007.
2. (Unit 13) Why do skaters wax ledges?
Why: A lower μ gives a longer slide distance, v²/(2μg).
3. (Unit 13) Metal knobs bolted along a granite ledge are an example of what?
Why: Skate stoppers block grinding and are one kind of hostile design.
4. (Unit 13) Which shows that skating contests are older than the Olympics?
Why: Contests date back to Anaheim in 1965, over fifty years before Tokyo.
5. (Unit 13) Which example of hostile design is aimed at people resting, not skaters?
Why: Armrests that stop lying down are a common example of hostile design.
Send it to your teacher
Write it
Design a mini ramp for a group you know. Choose a height and a radius, then show each step of your arithmetic for the top angle, the curve's footprint, the speed at the bottom and the felt weight there. Explain one trade-off you made and why it fits your riders.
Use cos θ = 1 − h ÷ r for the top angle and r × sin θ for the footprint.
Use v = √(2gh) with g = 9.8 m/s² for the speed at the bottom.
Use 1 + 2h ÷ r for how many times their weight riders feel.
Say who the riders are and how your numbers suit them.
Name one safety step in building or checking the ramp.
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Practice rooms
Rooms already on the site that belong to this unit — cards, quizzes, a lab.
Every lesson keeps its own three checks; a lesson is ticked when all three are right. Chapter reviews, the unit test and its spiral review (five questions from earlier units in this band) score on the page. When the site is connected to your sheet, or the link carries ?dest=, each one also has a Send box: the first-try score, the standards, the supports used, the attempt number and the minutes go to your sheet as an IEP data point.
Print this page for a paper copy of the readings, the sources, the words and the questions; the answers print as dashed boxes under each question.
Fact-check notes for this course live in the handoff: quotes marked (paraphrased) were set that way on purpose.