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Bike Speed and Cadence Calculator

Converts between speed and cadence for any gear and wheel size, in both directions.

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Enter your figures and press Calculate.
In short Speed, cadence and gear are three quantities with only two degrees of freedom: fix any two and the third is decided. Each turn of the cranks moves the bike forward by the development of the gear — the ratio times the wheel circumference — so speed is simply development multiplied by cadence. In a 50 × 16 on 700 × 25 tyres, one crank revolution covers 6.60 metres, so 90 rpm is 35.6 km/h. Turn that around and it answers the more useful question: what cadence does holding a given speed in a given gear demand? Most riders settle somewhere between 80 and 100 rpm, and a figure far outside that usually means the gear entered is not the gear being ridden. What this does NOT tell you is how hard it will be. It is pure geometry: no wind, no gradient, no rolling resistance, no rider. The wheel turns that gear at that speed whether you are freewheeling downhill or grinding into a headwind, and the effort question needs a power model instead. Treat this as the answer to "what will the cranks be doing", not "can I hold this".

How to use the Bike Speed and Cadence Calculator

  1. Enter your figures in the input fields.
  2. The result updates as you type, together with the full working.
  3. Check the breakdown table to see exactly how the number was reached.

About the Bike Speed and Cadence Calculator

The Bike Speed and Cadence Calculator converts between speed and cadence for any gear and wheel size, in both directions. It runs as plain JavaScript inside the page, which means there is no upload step, no queue and no size limit imposed by a server — the only limit is your own device.

What people use it for

  • Checking what cadence a target speed needs.
  • Choosing a gear for a known speed.
  • Sanity-checking a bike computer reading.

Details

SpeedDevelopment × cadence × 60 ÷ 1000
A 50 × 16 on 700c6.60 m per crank turn
At 90 rpmAbout 35.6 km/h
What it ignoresWind, gradient and rolling resistance — this is geometry only
This is geometry, not effort. It says how fast the wheel turns that gear, not whether you can hold it.

Frequently asked questions

What cadence should I ride at?
Most riders settle between 80 and 100 rpm, but it is a preference rather than a rule and it shifts with fitness and terrain. This tool converts; it does not advise.
Why does the answer not match my bike computer?
Usually wheel circumference. A computer uses a calibrated ROLLING circumference, which is smaller than the geometric one because the tyre squashes under load.
Can this tell me how hard the effort will be?
No. It is geometry with no rider in it. Effort needs a power model that accounts for gradient, air resistance and rolling resistance.
Does tyre width change the speed?
Slightly, because a fatter tyre makes the wheel bigger and each crank turn covers more ground. The effect is small but real.
Does the Bike Speed and Cadence Calculator cost anything?
No charge and no sign-up. There is no free tier to run out of because there is no paid tier — inputtesthub.com is funded by advertising rather than by metering the utility.
Is what I paste into the Bike Speed and Cadence Calculator stored?
No. The Bike Speed and Cadence Calculator runs entirely in your browser using JavaScript. Your input never reaches inputtesthub.com or any third party — open your browser's Network tab while you use it and you will see no request go out.
Can you show an example?
Enter 50 × 16 at 90 rpm and the Bike Speed and Cadence Calculator returns 35.6 km/h.
What is the Bike Speed and Cadence Calculator used for?
In practice it gets used for three things: checking what cadence a target speed needs. Choosing a gear for a known speed. Sanity-checking a bike computer reading. It is built for exactly those cases rather than being a general-purpose tool with this bolted on.
Is there anything to watch out for?
This is geometry, not effort. It says how fast the wheel turns that gear, not whether you can hold it.
Which values should I know?
Speed is Development × cadence × 60 ÷ 1000. A 50 × 16 on 700c is 6.60 m per crank turn. At 90 rpm is About 35.6 km/h. These are printed on the page itself, so you do not have to take them on trust.
Can I rely on this for exact work?
The calculation runs in double precision and the result is shown to ten significant figures, so converting a value and converting it back returns the original. What is displayed is rounded for readability; what is copied is not.

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