Classroom challenges

Gear Ratio Race

Configure equal vehicles for speed or pulling force, predict their ratios, and compare performance in two fair races.

One ratio makes wheels spin faster; another trades speed for torque. The winning setup depends on whether the course rewards sprinting or pulling.

Difficulty
Intermediate
Build time
55-85 min
Estimated cost
$0-$15
Age range
10-18
Workspace
A clear table about 90 cm wide

The finish line

What you will build

Two vehicles complete a 2-metre speed run and a standard load-pull test with ratios recorded and no gear skipping.

Learning goals

  • Identify how equal motor or hand-crank input rotation produces drive-wheel rotation and vehicle motion.
  • Construct and explain a rotary transmission-to-linear travel system.
  • Measure how gear ratio changes performance.
  • Diagnose losses caused by gear mesh friction and wheel slip.

Before you build

Materials, tools, and safety

Reuse-material cost: Usually under $5 with an existing kit. Supervision: Adult help recommended for sharp or heated tools.

Tools

  • Ruler
  • Pencil
  • Scissors
  • Timer or phone stopwatch

Low-cost swaps

  • Use reclaimed paper and packaging while keeping material limits equal for every team.
  • Replace metal test weights with labeled bags of coins or washers.
  • Use one vehicle and test configurations sequentially when matching kits are unavailable.

Project-specific safety

  • Keep load and drop tests below shoulder height and away from faces.
  • Clear the test zone before releasing moving objects or suspended loads.
  • Use hand cranks or low-voltage motors only, keep gears covered where possible, and stop before stalled motors or batteries warm.

Orient the build

Place the build so equal motor or hand-crank input rotation is on your left and drive-wheel rotation and vehicle motion is on your right. Call the side facing you the front, the far side the back, the tabletop the bottom, and the opposite face the top.

Build it

Step-by-step instructions

  1. Step 1

    Standardize the chassis

    Match wheel diameter, axle spacing, mass, and alignment.

    Roll both vehicles by hand.

  2. Step 2

    Choose two ratios

    Build one speed-oriented and one torque-oriented pair.

    Record driver and driven tooth counts.

  3. Step 3

    Brace the gear meshes

    Support both sides of each axle and leave thin side clearance.

    Turn ten input rotations by hand.

    Builder checkpoint: After brace the gear meshes, the first subassembly should stay aligned when handled gently.

  4. Step 4

    Predict wheel speed

    Calculate output rotations per input turn for both vehicles.

    Mark predictions before racing.

    Watch for: If this stage binds or drifts, inspect battery or crank variation before adding more parts.

  5. Step 5

    Set the speed course

    Tape a straight 2-metre lane and use one release line.

    Run three timed trials for each ratio.

  6. Step 6

    Build the pull test

    Attach the same low-friction 200 g sled to each vehicle.

    Use the same surface and line length.

    Builder checkpoint: After build the pull test, operate the build slowly and confirm that drive-wheel rotation and vehicle motion begins without binding.

  7. Step 7

    Run pulling trials

    Measure distance moved in ten seconds or input turns.

    Stop if teeth skip or motors stall.

  8. Step 8

    Compare tradeoffs

    Graph speed-run time against pulling result.

    Explain why no ratio wins every task.

    Builder checkpoint: At the final checkpoint, Two vehicles complete a 2-metre speed run and a standard load-pull test with ratios recorded and no gear skipping.

See the engineering

Why it works

Input
equal motor or hand-crank input rotation
Output
drive-wheel rotation and vehicle motion
Motion
rotary transmission-to-linear travel
Energy losses
gear mesh friction, wheel slip, axle rubbing, battery or crank variation
Gear Ratio Race concept diagram with labeled input, output, and motion arrows.
The rotary transmission-to-linear travel motion path, with the main efficiency losses called out.

Why this works

Torque-speed gearing

A large driver turning a small driven gear increases output speed but reduces ideal torque. A small driver turning a large gear reduces speed and increases ideal torque.

Look for: Mark one wheel and count rotations for ten input turns before placing either vehicle on the course.

Where the energy goes

Efficiency and losses

The ideal model leaves out gear mesh friction, wheel slip, axle rubbing, battery or crank variation. These effects turn some input energy into heat, sound, vibration, or unwanted motion, so measured performance will be lower than an ideal calculation.

Look for: Run the build slowly and locate the first place where gear mesh friction becomes visible or audible.

Math bite

Predict output speed

Formula: output turns = input turns × driver teeth / driven teeth

  • Input = 10 turns
  • Driver = 36 teeth
  • Driven = 12 teeth

Substitute: output = 10 × 36 / 12 = 30 turns

Result: The drive axle turns 30 ideal rotations for ten input rotations.

Speed increases while ideal axle torque falls to one-third.

Mesh friction and wheel slip change real travel.
Brick-building meme reading: Chuck Norris does not build LEGO; he roundhouses the bricks into sculptures.
The speed car won the sprint and submitted no comment about the towing round.Image supplied by the site owner.

Make it behave

Test, troubleshoot, and tune

Controlled test

Start here: Turn each drivetrain ten times while wheels are off the floor.

Success looks like: Both vehicles finish three speed runs and move the standard sled without gear skipping.

Measure: Time, wheel rotations, sled distance, and skipped teeth.

Change: gear ratio

Keep constant: chassis, wheels, mass, input source, lane, sled, and release

  1. 1:3 speed ratio
  2. 1:1 ratio
  3. 3:1 torque ratio
Troubleshooting guide
SymptomLikely causeConfirm itFix
Gears skip under pullMesh supports spreadHold the vehicle and load gentlyBrace both axle bearings
One car curvesAxles or wheels differRoll with drivetrain disconnectedRealign and match wheels
Speed results varyRelease or input energy differsUse a gate and count input turnsStandardize the start and source
Torque setup stallsOverall friction is highLift wheels and operate unloadedReduce bearing rub and sled drag

Choose your tradeoff

Align both vehicles before comparing ratios. Faster gearing magnifies friction and needs more input torque; torque gearing pulls more steadily but gives up wheel speed.

Keep experimenting

Try another version

Easier

One-vehicle study

Compare two ratios sequentially.

Performance

Mixed-course score

Combine sprint time and pull distance.

Advanced

Power estimate

Use sled force and speed to estimate useful output power.

Build together

Classroom and access options

Classroom version

Teams can compare gear ratio while keeping chassis, wheels, mass, input source, lane, sled, and release. Assign builder, tester, recorder, and explainer roles; have each team predict the result before collecting three trials.

Access adaptations

  • Assign varied roles such as designer, builder, tester, recorder, and presenter.
  • Provide pre-measured materials and a visual checklist when helpful.
  • Use large color-and-tactile ratio labels and assign build, count, release, timing, and recording roles.

Reflect on the design

  1. How did gear ratio change the measured result?
  2. Where did gear mesh friction affect the build most strongly?
  3. What evidence shows that torque-speed gearing explains the motion?
  4. Which change would improve drive-wheel rotation and vehicle motion without creating a new problem?
Glossary
Torque-speed gearing
A large driver turning a small driven gear increases output speed but reduces ideal torque.
Input
The action or energy supplied to a system; here it is equal motor or hand-crank input rotation.
Output
The useful response produced by a system; here it is drive-wheel rotation and vehicle motion.
Efficiency
The fraction of input energy that becomes useful output instead of friction, sound, heat, or unwanted motion.

Build your dreams

One build can start the next.

Share what you learned, change one variable, and help another builder understand what worked.

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Sources and build notes

A common classroom engineering challenge implemented with original constraints, diagrams, and measurement guidance.

  • Classroom challenge basis: A controlled-variable engineering activity with original constraints, scoring ideas, and measurement guidance.

Written and edited by BrickLabClips. Published 2026-07-22; updated 2026-07-22.

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