Cycling Power from Speed Calculator

Cycling Power from Speed — calculate it instantly for your rides, free.

How it is calculated

This is the basic force-times-velocity relation: P = F × v. F is the total resisting force you must overcome, in newtons, and v is your speed in m/s. You type speed in km/h and the tool converts it with v = km/h ÷ 3.6. The answer is power at the wheel in watts, shown with two decimals. You supply F yourself: it is the sum of air drag, tyre rolling resistance and, on a slope, the pull of gravity, and the tool does not work these out from weight, CdA or grade. Both fields must be above 0, speed up to 300 km/h and force up to 3,000 N, and a resulting power above 5,000 W is treated as beyond any human cyclist and gives no result. Drivetrain loss is not added.

Worked example

Suppose the total resisting force is 24 N at a speed of 30 km/h. Speed in m/s is 30 ÷ 3.6 = 8.33. Power is 24 × 8.33 = 200.00 W. At the same force, riding at 36 km/h (10 m/s) would need 240 W. Because force and speed multiply, a 20 % faster ride needs 20 % more power only if the force stays the same, which it does not in the real world, where drag rises with speed.

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Common mistakes

  • Entering the rider's weight as the resistance. The field wants a force in newtons, not kilograms. A weight of 80 kg is not 80 N, and it is not the net resistance on the bike either.
  • Using a resistance measured at a different speed. Air drag grows with the square of speed, so a force taken at 20 km/h understates the force at 40 km/h.
  • Typing speed in m/s or mph. The field is km/h, so 10 m/s must be entered as 36.
  • Expecting the tool to add climbing, wind or drivetrain loss. It only multiplies two numbers, so any slope or headwind must already be inside the force you enter.
  • Entering a zero or negative force for a descent or tailwind. The tool returns no result in that case.

About this calculator

Power at the pedals equals the sum of aerodynamic drag, rolling resistance, gravitational resistance and drivetrain losses, all multiplied by speed — a physics-based model similar to the cycling power equation published by Martin and colleagues in 1998, used to estimate the power output a given speed actually requires.

Cyclists without a power meter use it to estimate their effort, race engineers use it to model time-trial pacing strategy, and triathletes use it to plan realistic bike-leg splits before race day.

This calculator takes your speed in km/h and the total resisting force in newtons, and returns power in watts as force times speed. It does not work out the force itself: add up your aerodynamic drag, rolling resistance and climbing force first and enter the total.

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