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Sports

Bike gear ratio & speed calculator

Gear ratio, development and road speed for a given chainring, cog and cadence.

What this calculator does

Bike gear ratio & speed works out gear ratio, development and road speed for a given chainring, cog and cadence. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

Formularatio = front teeth / rear teeth; development = π × wheel diameter × ratio; speed = development × cadence

The inputs explained

FieldWhat to enter
Chainring teethA number. Starts at 50.
Rear cog teethA number. Starts at 16.
Wheel diameter (mm)A number, measured in mm. Starts at 700.
Cadence (rpm)A number, measured in rpm. Starts at 90.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with chainring teeth

Every other input is held at the calculator’s starting values while chainring teeth varies. Select any row to load that scenario into the calculator.

How the answer changes with chainring teeth
Chainring teethSpeed at this cadenceGear ratioDevelopment (per crank turn)
2518.56 km/h1.56:13.44 m
37.527.83 km/h2.34:15.15 m
5037.11 km/h3.13:16.87 m
7555.67 km/h4.69:110.31 m
10074.22 km/h6.25:113.74 m
150111.33 km/h9.38:120.62 m