Cycling Cadence to Speed Calculator

Each turn of the cranks moves the bike the gear ratio times the wheel’s circumference. Multiply that by your cadence and you have your speed.

Also called: Bike gear calculator · Gear development calculator

  • Last updated
  • Formula tested against reference values

Your numbers

Measure one wheel roll-out, or check your tyre maker’s chart. 2105 mm is a common figure for 700×25C.

Result

Speed
—km/h

Calculating…

Speed
—
Gear ratio
—
Distance per crank turn
—
Gear inches
—
Full table

How to use this calculator

  1. Enter or choose cadence.
  2. Enter or choose chainring teeth.
  3. Enter or choose rear cog teeth.
  4. Enter or choose wheel circumference.
  5. The speed updates as you type. Use Copy result or Share to keep it.

Method

Development (m) = Chainring ÷ Cog × Circumference (mm) ÷ 1000; Speed (km/h) = Development × Cadence × 60 ÷ 1000; Gear inches = Ratio × Circumference ÷ π ÷ 25.4

Chainring, Cog
teeth on the front and rear sprockets in use
Circumference
distance the wheel rolls in one turn
Cadence
crank revolutions per minute

Worked example

  1. Gear ratio = 50 ÷ 15 = 3.333.
  2. Development = 3.333 × 2.105 m = 7.017 m per crank turn.
  3. Speed = 7.017 × 90 × 60 ÷ 1000 = 37.89 km/h.

At 90 rpm in a 50×15 gear on a 2105 mm wheel you are riding at about 37.9 km/h (23.5 mph).

What the result means

Use the table to pick gears: if your comfortable cadence is 85–95 rpm, choose the gear that puts your target speed in that range.

Assumptions and limits

  • No wheel slip and the chain is in the stated gear.
  • Tyre pressure and load change the rolling circumference slightly.

Questions

What is a good cadence?

Most trained road cyclists settle between about 80 and 100 rpm on the flat; there is no single best value.

What are gear inches?

An old measure: the diameter of an equivalent penny-farthing wheel. Multiply by π for the distance travelled per crank turn in inches.