From cassette teeth to road speed
Your bike’s speed at any cadence is fixed by your gearing and wheel size. This calculator turns four inputs — front chainring teeth, rear sprocket teeth, wheel diameter, and cadence — into the three numbers riders actually care about: gear ratio, development (metres per pedal revolution), and resulting speed.
How it works
The maths chains three simple relationships:
ratio = chainring_teeth / sprocket_teeth
circumference= pi * wheel_diameter_mm / 1000 (metres)
development = ratio * circumference (metres per pedal turn)
speed_kmh = development * cadence_rpm * 60 / 1000
So one pedal revolution advances the wheel ratio turns, each covering one circumference. Multiply by cadence (revolutions per minute) and convert minutes to hours and metres to kilometres to get road speed.
Example and tips
A 50-tooth chainring with a 14-tooth sprocket gives a ratio of 50 / 14 = 3.57. On a 670mm wheel the circumference is about 2.10m, so development is 3.57 * 2.10 = 7.51m per stroke. At 90 RPM that is 7.51 * 90 * 60 / 1000 = 40.6 km/h. To hold the same speed in an easier gear you would spin a smaller ring or larger sprocket at a higher cadence. Always measure your real inflated tyre diameter for the most accurate speed.