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Bicycle gear rollout worksheet

Calculate one selected gear’s wheel travel and theoretical speed from cadence.

01Enter your values

Runs in your browser

Runs offline in your browser. Once the page and required files have loaded, processing needs no internet.

Gear ratio = chainring teeth / rear sprocket teeth. Rollout per crank revolution = measured wheel circumference × gear ratio. Speed = rollout × crank revolutions per minute, converted to distance per hour.

Example
mm
RPM

How it works

Calculate one selected gear’s wheel travel and theoretical speed from cadence.

L = C × Nf/Nr

One chain-driven gear with no internal hub ratio or wheel slip. Use measured loaded wheel circumference, not a tyre name. Coasting, losses, terrain and rider power are excluded. Works offline after loading.

Your data stays yours

Inputs are processed on this page and are never sent to a server.

About this tool

Calculate one selected gear’s wheel travel and theoretical speed from cadence.

Gear ratio = chainring teeth / rear sprocket teeth. Rollout per crank revolution = measured wheel circumference × gear ratio. Speed = rollout × crank revolutions per minute, converted to distance per hour.

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How to use it

  1. Enter your values

    Loaded wheel circumference · Chainring teeth · Rear sprocket teeth · Crank cadence

  2. Calculate / generate

    Calculate one selected gear’s wheel travel and theoretical speed from cadence.

  3. Result

    Gear ratio: 2 Rollout per crank turn: 4.2 m Theoretical speed: 22.68 km/h

Calculation method

  1. Gear ratio = chainring teeth / rear sprocket teeth.
  2. Rollout per crank revolution = measured wheel circumference × gear ratio.
  3. Speed = rollout × crank revolutions per minute, converted to distance per hour.
L = C × Nf/Nr
Example scenario

Bicycle gear rollout worksheet

Loaded wheel circumference
2100 mm
Chainring teeth
50
Rear sprocket teeth
25
Crank cadence
90 RPM
Result
Gear ratio: 2 
Rollout per crank turn: 4.2 m
Theoretical speed: 22.68 km/h

Frequently asked questions

What does this result assume?

One chain-driven gear with no internal hub ratio or wheel slip. Use measured loaded wheel circumference, not a tyre name. Coasting, losses, terrain and rider power are excluded. Works offline after loading.

Where does my data go?

Calculations run on your device. Form inputs are not sent to a server.

Terms and definitions

Enter your values

Measurement system

The initial choice follows your browser region. Your choice is remembered on this device. Gallons are US gallons. Switching units keeps your numbers unchanged and interprets them in the new unit.

Numbers stay unchanged. Check the new unit and enter the intended measurement, or select an example for that system.

Loaded wheel circumference

Measured travel of one loaded wheel revolution.

Enter a numerical value for this quantity. Use the unit shown beside this field. mm / in

Minimum: 1e-9 · Maximum: 1000000000000 mm

Chainring teeth

Positive whole tooth count on the front chainring.

Enter a whole number; fractional counts are not valid.

Minimum: 1 · Maximum: 1000000

Rear sprocket teeth

Positive whole tooth count on the selected rear sprocket.

Enter a whole number; fractional counts are not valid.

Minimum: 1 · Maximum: 1000000

Crank cadence

Crank revolutions per minute; zero represents no pedaling.

Enter a numerical value for this quantity. Use the unit shown beside this field. RPM

Minimum: 0 · Maximum: 1000000000000 RPM

Result

Result

Gear ratio = chainring teeth / rear sprocket teeth. Rollout per crank revolution = measured wheel circumference × gear ratio. Speed = rollout × crank revolutions per minute, converted to distance per hour.

Calculated from your entries using the method below.

Gear ratio

Front tooth count divided by rear tooth count.

Calculated from your entries using the method below.

Rollout per crank turn

Theoretical forward travel for one complete crank revolution.

Calculated from your entries using the method below.

Theoretical speed

Rollout multiplied by crank cadence.

Calculated from your entries using the method below.

Value

Gear ratio = chainring teeth / rear sprocket teeth. Rollout per crank revolution = measured wheel circumference × gear ratio. Speed = rollout × crank revolutions per minute, converted to distance per hour.

Calculated from your entries using the method below.

Unit

Gear ratio = chainring teeth / rear sprocket teeth. Rollout per crank revolution = measured wheel circumference × gear ratio. Speed = rollout × crank revolutions per minute, converted to distance per hour.

Calculated from your entries using the method below.

Common mistakes and quick fixes

Bicycle gear rollout worksheet

Mistake: Entering wheel diameter instead of circumference.

Fix: Measure one complete loaded wheel revolution and enter its travel distance.

Limits and key assumptions

  • One chain-driven gear with no internal hub ratio or wheel slip. Use measured loaded wheel circumference, not a tyre name. Coasting, losses, terrain and rider power are excluded. Works offline after loading.
  • Displayed results may be rounded; rounding does not add measurement precision.