Power to Speed Calculator — Estimate Speed from Watts
Estimate cycling speed from power output accounting for all resistances.
How We Calculate This
Speed from Power Formula
This uses the Martin et al. (1998) road-cycling power model. The power that reaches the road equals the sum of three resistance forces multiplied by speed, where θ = arctan(gradient ÷ 100):
- Aerodynamic drag: P_aero = 0.5 × air density × CdA × v³
- Rolling resistance: P_roll = Crr × mass × g × cos(θ) × v
- Gravity: P_grav = mass × g × sin(θ) × v
Not all of your pedal power reaches the road — the chain and bearings lose roughly 2.4%, so road power = 0.976 × rider power. The calculator uses Newton-Raphson iteration to solve for the speed where P_aero + P_roll + P_grav = 0.976 × P_rider.
Frequently Asked Questions
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Last updated: February 2026
All calculations are estimates. Always verify results and consult a professional bike fitter where appropriate.