Hill Climb Power Calculator

Estimate the power required to climb a hill on a bicycle given gradient, speed, and rider weight.

%
mph
lbs

Total Power Required

232 W

Power-to-Weight2.76 W/kg
Gravity Component89%
VAM (vertical m/hr)901 m/hr

Total Power Required vs Gradient

How Hill Climb Power Is Calculated

Climbing requires overcoming gravity plus rolling resistance and aerodynamic drag.

Formula

P_total = P_gravity + P_rolling + P_aero

  • P_gravity = mass x g x gradient x speed
  • P_rolling = Crr x mass x g x speed
  • P_aero = 0.5 x rho x CdA x speed^3
  • On steep climbs (over 5%), gravity dominates and accounts for 80-90% of the power requirement.

    VAM

    VAM (velocita ascensionale media) measures vertical meters gained per hour. Top climbers achieve 1500-1800 m/hr on major climbs.

    Example Calculation

    Climbing a 7% gradient at 8 mph, 185 lbs total weight.

    1. 01Mass = 185 * 0.4536 = 83.9 kg
    2. 02Speed = 8 * 0.447 = 3.58 m/s
    3. 03P_gravity = 83.9 * 9.81 * 0.07 * 3.58 = 206 W
    4. 04P_rolling = 0.005 * 83.9 * 9.81 * 3.58 = 14.7 W
    5. 05P_aero = 0.5 * 1.225 * 0.4 * 3.58^3 = 11.2 W
    6. 06Total = 206 + 15 + 11 = 232 W (2.76 W/kg)
    7. 07VAM = 3.58 * 0.07 * 3600 = 902 m/hr

    Frequently Asked Questions

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