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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
It uses the Martin et al. (1998) road-cycling power model — validated to within ~3 W (R²=0.97) — and is accurate to within a few percent in still air. It already includes a ~2.4% drivetrain loss, so the watts you enter are pedal (crank) power. Real-world wind, gusts, road surface variation and changing position are the main remaining sources of error.
Typical values: hoods position 0.35-0.40, drops 0.30-0.35, aero bars 0.22-0.28. A professional TT rider may achieve 0.20.
Coefficient of rolling resistance. Typical values: racing tyres on smooth road 0.003-0.005, all-round tyres 0.005-0.007, mountain bike tyres 0.010-0.015.
This calculator assumes still-air conditions. Use the Wind Resistance Calculator for headwind/tailwind effects.
Related Calculators
Power Duration Calculator
Estimate sustainable power output for different durations.
Climbing Power Calculator
Calculate the power needed to climb at a given speed and gradient.
CdA Calculator
Estimate your drag coefficient area from field test data.
Normalised Power Calculator
Calculate normalised power from average power and variability index.
Watts Per Kilo Calculator
Calculate your power-to-weight ratio in watts per kilogram.
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Last updated: February 2026
All calculations are estimates. Always verify results and consult a professional bike fitter where appropriate.