Athlete Power Output Calculator Formula

Understand the math behind the athlete power output calculator. Each variable explained with a worked example.

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Formulas Used

Power Output

power_watts = force_newtons * velocity_ms

Power-to-Weight Ratio

power_per_kg = force_newtons * velocity_ms / body_mass_kg

Speed

speed_kmh = velocity_ms * 3.6

Variables

VariableDescriptionDefault
force_newtonsApplied Force(N)200
velocity_msVelocity(m/s)10
body_mass_kgBody Mass(kg)75

How It Works

Mechanical Power Output

Power is the rate of doing work. In cycling and rowing, it is the product of the force applied and the velocity of movement.

Formula

Power (W) = Force (N) x Velocity (m/s)

The power-to-weight ratio (W/kg) is the most important metric for climbing cyclists. Professional cyclists sustain 5-6 W/kg for an hour; recreational riders typically manage 2-3 W/kg.

Worked Example

A 75 kg cyclist applying 200 N of force at 10 m/s (36 km/h).

force_newtons = 200velocity_ms = 10body_mass_kg = 75
  1. 01Power = 200 x 10 = 2,000 W
  2. 02Power-to-weight = 2,000 / 75 = 26.67 W/kg
  3. 03Speed = 10 x 3.6 = 36 km/h
  4. 04Note: 2000W is a sprint effort; sustained power is much lower

Ready to run the numbers?

Open Athlete Power Output Calculator