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Ball bearings, skateboard wheels and rolling friction Feedback on this lesson
INTERACTIVE EXPLANATION

What helps a skateboard wheel keep spinning?

Make a wheel see-through, follow a marked ball and test which motions can roll. Then discover why a longer spin does not always mean less friction.

Enable JavaScript to change the conditions and run the interactive experiment.

Make a discovery

The wheel turns around a still axle. Between them, a ball does two things: its center travels, and the ball turns. Together, those motions can match the speeds of both touching surfaces.

  • Identify the two rings, raceways, balls and cage.
  • Separate a ball’s center travel from its orientation.
  • Use equal contact speeds to test ideal rolling.
  • Explain why a real bearing still has losses.
  • Control inertia and initial speed in a coast-down comparison.
  • Distinguish calculated ideal motion from observed research.
  • Keep a reproducible notebook and a quiet tabletop investigation.

Make a prediction

A wheel spins longer. Does that prove its bearing has less friction?

  • Yes, spin time is all we need.
  • Not without accounting for inertia and starting speed.
  • Only if the wheel is green.
Read the explanation

The same resisting torque takes longer to stop a rotor with greater inertia at the same initial speed.

Understand it

Find what the wheel holds

The outer ring fits inside this wheel. The inner ring surrounds the fixed axle. Two bearings and a spacer sit along the axle. The wheel is lifted off the ground; riding and tire contact are different questions.

Turn and travel

Follow the gold mark on one ball. Its center goes around the axle while the ball turns on its own axis. The cage travels with the ball centers, keeping the balls separated and guiding them.

Match the touching surfaces

At an ideal rolling contact, the two surfaces have the same tangential speed. The ball center’s travel and the ball’s turning contribute together. Try “turn only” or “travel only”: the contact arrows no longer match.

Make the spin test fair

A spinning object stores rotational energy. More rotational inertia at the same speed means more stored energy. To compare resisting torque from coast-down, account for inertia and initial speed. A longer unloaded spin is not a complete bearing-quality test.

Look closer at the science

Name the parts

A raceway is the curved track where a rolling element meets a ring. This bearing has balls, an inner ring, an outer ring and a cage. A cage is not a seal or a motor. Covers and seals are omitted here so the contacts remain visible.

One sourced geometry, one original model

GMN’s 608 sheet specifies an 8 × 22 × 7 mm envelope, seven balls of diameter 3.969 mm and a 14.7 mm pitch diameter. This gives ball-center radius R = 7.35 mm and ball radius a = 1.9845 mm. The internal geometry is not guaranteed for every bearing called 608. Our groove curvature, cage, wheel and spacer are original teaching geometry, not manufacturer CAD or a production drawing.

Two contact constraints

At zero contact angle, inner and outer contact radii are ri = R − a and ro = R + a. Let Ωi and Ωo be ring angular velocities, Ωc the ball-center orbit velocity and ωb the ball’s orientation velocity relative to the desk. Ideal rolling requires RΩc − aωb = riΩi and RΩc + aωb = roΩo. These are tangential speeds, not equal-rpm rules.

Solving for travel and turn

Adding the constraints gives Ωc = (riΩi + roΩo)/(2R). Subtracting gives ωb = (roΩo − riΩi)/(2a). Positive rotation is counterclockwise viewed from the positive axle end. A cage-mounted observer sees ωb − Ωc. Rendering that relative value directly as the ball’s world rotation would create false sliding.

One wheel turn

With the inner ring fixed and outer ring at 60 rpm, the cage travels at 38.1 rpm. The ball turns at 141.1111 rpm relative to the desk, or 103.0111 rpm relative to the cage. One outer-ring revolution gives 228.6° of orbit and 846.6667° of marked-ball orientation change. The familiar “half speed” intuition needs contact radii and reference frames.

A flat bridge to the idea

For a cylinder between parallel strips, bottom fixed and top traveling 20 mm without slip, the center travels 10 mm. Translation and turning cancel at the lower contact and add at the upper contact. The circular bearing’s two contact radii differ, so the same reasoning does not make the cage’s angular speed exactly half the outer ring’s.

Real rolling still loses energy

Real contacts are finite patches, and surfaces deform. Rolling and local sliding effects, lubricant motion, cage interactions, seals and other mechanisms contribute losses. Less apparent contact area is not a universal explanation of lower friction. SKF’s engineering account separates mechanisms and their operating conditions.

Our coast-down apparatus

The authored effective inertia is 4 × 10⁻⁵ or 8 × 10⁻⁵ kg·m². The constant opposing torque is 2 × 10⁻⁵ or 4 × 10⁻⁵ N·m. Both rotors start at 6 rad/s. Their exact numbers are not measured skateboard parameters. The gold rim is a symbol for added effective inertia, not a mass calculated from that visible rim’s material.

A complete energy account

While rotating, ω = ω₀ − Mt/J and θ = ω₀t − Mt²/(2J). Stop at t = Jω₀/M and keep the rotor stopped; resistance is not a reverse motor. Stored energy K = Jω²/2 and dissipated work Mθ sum to the initial energy. With baseline settings, stopping takes 12 seconds and 0.00072 joules are dissipated. No temperature rise is calculated.

The hidden-variable trap

Double inertia alone and stopping takes twice as long. Double both inertia and loss torque and the speed traces coincide because M/J is unchanged, although energy and loss torque double. Motion alone cannot identify both unknowns. Match or independently measure what matters before interpreting a free-spin comparison.

What the real research tests

NASA TN D-7356 examined a thrust-loaded, cageless angular-contact research bearing. Figure 7 compares experimental solid lines with calculated dashed lines for three balls, 26° contact angle and specified lubrication at 1,000, 2,000 and 3,000 rpm. Those conditions differ from our radial teaching bearing. A scan is not an exact raw-data table, and it cannot supply a skateboard rider limit.

Which bearing belongs where?

Ball bearings support many rotating shafts and wheels. Roller bearings use other rolling-element shapes; plain bearings use sliding surfaces and may rely on lubrication films. Load direction, speed, stiffness, environment, space and life requirements guide engineering choices. There is no universal winner or safe load calculated by this lesson.

Where this is used

Skateboard wheels

The wheel drives the outer ring around an axle. The transparent assembly explains the connection. It does not predict riding speed, rider capacity or how a particular bearing should be installed.

A motor shaft

A machine may instead turn the inner ring while its housing holds the outer ring. Try that drive arrangement in the contact lab; the cage and ball motions change.

Engineering with evidence

A source photograph helps identify real parts. A measured torque experiment tests a model under stated conditions. A bearing selection also needs loads, lubrication, life and application constraints beyond a visual spin.

Try it yourself: Make a tiny roller platform

Supplies

  • Two similar empty cardboard tubes
  • One light, stiff piece of cardboard
  • Paper, pencil, ruler and a little removable tape
  • A stable, level tabletop
  1. Mark a short path

    On paper, mark two positions 4 cm apart (about 1.6 inches). Work away from the table edge. No skateboard, bearing or added weights are needed.

  2. Set down the rollers

    Place the two tubes parallel on the paper, far enough apart to support the light cardboard. Keep their circular ends visible.

  3. Make the center visible

    Fold a narrow paper strip and tape it across one tube opening. Mark the center on that strip. Rest the cardboard gently across both tubes.

  4. Make a prediction

    If the cardboard moves 4 cm, will the marked center move farther, less, or the same distance? Write a reason before moving anything.

  5. Move gently

    Move the cardboard about 4 cm while keeping both rollers under it. Stop before anything reaches the edge. Watch the center, not just the spinning mark.

  6. Compare distances

    Ideal rolling predicts 2 cm for the center when the top moves 4 cm. Record your approximate observation. Repeat slowly; do not force the number.

  7. Investigate a mismatch

    Look for slipping, squashed tubes, nonparallel placement or an uneven surface. Use the paper-only arrow diagram if the platform is unstable: center +1, lower turning −1, upper turning +1.

Why does the top move twice as far as the center in ideal rolling?

Quiet tabletop observation with light cardboard only. No loose metal balls, tools, disassembly, lubricants, powered spinning or riding. A paper-only arrow alternative requires no moving objects. This is not a bearing-performance test.

Check your understanding

The axle stays still while the wheel turns in our assembled scene. Which bearing ring turns with the wheel?

  • Outer ring
  • Inner ring
  • Only the cage
  • All parts are locked together
Answer and explanation

Outer ring Correct. It is fitted into the wheel in this arrangement; the inner ring surrounds the stationary axle.

A cylinder rolls without slipping between a fixed bottom strip and a moving top strip. The top strip moves 20 mm. How far does the cylinder center move?

  • 20 mm
  • 0 mm
  • 10 mm
  • 10 mm backward
Answer and explanation

10 mm Correct. Travel and rotation each contribute to the top contact's motion. Their effects cancel at the fixed bottom contact.

In the ideal bearing close-up, which observation tests whether a ball is rolling without slipping at a contact?

  • The ball and ring have the same rpm
  • The two touching surfaces have equal tangential speed
  • The center of the ball never moves
  • The ball is perfectly shiny
Answer and explanation

The two touching surfaces have equal tangential speed Correct. Compare their speeds at that contact, accounting for the ball center's travel and the ball's turn.

Which description best explains the cage shown between the balls?

  • It supplies the energy that keeps the wheel moving
  • It is always a watertight cover
  • It carries every external load by itself
  • It keeps the rolling elements separated and guides them
Answer and explanation

It keeps the rolling elements separated and guides them Correct. Follow its pockets and the ball centers to see their shared orbital motion.

The ideal contact arrows match, but a real wheel eventually stops. What is the best explanation?

  • The model's ideal rolling condition omits real loss mechanisms
  • Gravity always drains the energy of any rotating wheel
  • The bearings secretly turn into brakes at a fixed time
  • A real bearing must have zero friction if the balls are round
Answer and explanation

The model's ideal rolling condition omits real loss mechanisms Correct. Deformed contacts, lubricant movement, seals and other effects can dissipate energy; matching the ideal arrows does not eliminate all losses.

Rotor B spins longer than A after both start at the same angular speed. B also has twice A's effective inertia. What can you conclude now?

  • B definitely has less resisting torque
  • B must have a better lubricant
  • The longer spin alone does not identify which has less resisting torque
  • The result is impossible because speed started equal
Answer and explanation

The longer spin alone does not identify which has less resisting torque Correct. Initial speed is controlled, but inertia is not. Reveal and match the parameters.

In our constant-torque model, double both effective inertia and resisting torque while keeping initial speed fixed. What happens to the speed-versus-time trace?

  • It becomes twice as long
  • It stays the same, although initial energy and loss torque are greater
  • It becomes frictionless
  • It reverses after stopping
Answer and explanation

It stays the same, although initial energy and loss torque are greater Correct. Angular deceleration depends on M/J; both increased by the same factor.

The NASA plot shows torque measured in a particular three-ball, thrust-loaded research bearing. What is a justified use of it?

  • Read off the maximum safe weight of a skateboard rider
  • Pick the lubricant that makes every bearing fastest
  • Replace its dashed calculated curves with exact measurements
  • Compare calculation with measurement under the reported test conditions
Answer and explanation

Compare calculation with measurement under the reported test conditions Correct. The apparatus, variables and limitations are part of what makes the result meaningful.

Sources and model limits

  • Ideal zero-angle, no-gross-slip kinematics; no contact-force, wear, life or lubrication solver.
  • Published nominal dimensions inform original geometry. Groove/cage/wheel details are authored.
  • The wheel is held off the ground; no riding, braking-distance or road-contact prediction.
  • Coast inertia and torque are authored effective parameters, not measured products or material rankings.
  • Coast loss is lumped and constant; no heating law or lubricant optimization.
  • The gold inertia rim is symbolic; effective inertia is not derived from its displayed mesh.
  • NASA research bearings and the plotted test differ from our model. No raw data is invented from the scan.
  • Teardown displacement is for inspection; separated components are paused, not operating as a bearing.

Published nominal envelope, pitch circle, ball dimensions and count.

Used for a particular 608-size geometry; no universal internal dimensions or performance ranking.

GMN · 608 radial ball bearing

Rotation and revolution relationships, including contact angle.

Printed A100–A101. We derive the zero-angle contact constraints and explicitly distinguish desk and cage frames.

NSK · rolling bearing kinematics

Separation/guidance and distinct lubricant/seal functions.

Manufacturer R&D account, 2020. Promotional performance claims are not generalized.

SKF · cages, grease and seals

Original measured and calculated comparison under reported rig conditions.

Townsend, Allen & Zaretsky, NASA TN D-7356 (1973), Figure 7. Different bearing; full axes and legend retained.

NASA · actual friction experiment

Real photographed bearing parts, not our 608 geometry.

NASA Glenn archive image. Original media retained; archive identifier is not an inferred capture date.

NASA · separated bearing components

Media use and non-endorsement context.

The report’s separate NTRS public-use determination is preserved in the evidence packet.

NASA · media reuse guidelines

Attribution for the Salkin photograph travels with its derivative.

Credit, source, license and resizing information are packaged with the image.

CC BY 2.0 · reuse terms

Two bearings/spacer arrangement and limitations of an unloaded spin test.

Steps 4–6 are read for assembly context. This lesson does not instruct bearing installation or riding tests.

Fireball · wheel assembly description

Independent subject review is pending.

Read the sources and model assumptions