Travel & transport

Cycling gearing calculator

Relate chainring, sprocket, wheel rollout and cadence to geometric speed.

Cycling gearing calculator
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A clear answer. Here’s how.

Gear ratio=front teeth/rear teeth. Distance per crank turn=wheel circumference×ratio; speed multiplies that rollout by cadence. Gear inches use circumference/π as wheel diameter. Assumes direct chain drive without slip or internal hub gearing; tyre loading, drag, gradient and achievable rider power are not predicted.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

Front chainring teeth
50
Rear sprocket teeth
18
Measured wheel rollout (mm)
2100
Cadence (pedal revolutions per minute)
80

Example result

Drive ratio
2.77777777778
Distance per pedal revolution (m)
5.83333333333
Geometric speed (km/h)
28
Geometric speed (mph)
17.3983933826
Gear inches
73.1026641498