Air Resistance Power Calculator

Air Resistance Power — calculate it instantly for your rides, free.

How it is calculated

The tool computes only the power spent on pushing through the air: P = ½ × ρ × CdA × v³. Here ρ is air density in kg/m³, CdA is drag coefficient times frontal area in m², and v is speed in m/s. You enter speed in km/h, and the tool converts it with v = km/h ÷ 3.6. All three fields are required and must be above 0. Values that are physically absurd (CdA above 50 m², density above 3 kg/m³, speed above 1,500 km/h) show no result. The speed is treated as speed through the air, so there is no wind input: for a headwind add the wind speed to your ground speed, for a tailwind subtract it. Rolling resistance, climbing and drivetrain loss are not included, so this is only the aero part of total power.

Worked example

A rider with CdA 0.32 m² travels at 40 km/h in air of 1.225 kg/m³. Speed in m/s is 40 ÷ 3.6 = 11.11. Cubed this is 1,371.7. Then P = 0.5 × 1.225 × 0.32 × 1,371.7 = 268.86 W. Doubling the speed to 80 km/h multiplies the speed cubed by eight, and the tool gives 2,150.89 W for the same rider.

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Common mistakes

  • Entering CdA in cm² or as the frontal area alone. The field is the product in square metres, commonly a few tenths such as 0.32, so 3200 would be wrong by a factor of 10,000 (and is rejected as above 50).
  • Treating the result as total power. It excludes rolling resistance, gravity and drivetrain loss, so a rider's real power on the road is higher.
  • Ignoring wind. The speed must be airspeed: with a 10 km/h headwind and 30 km/h ground speed, enter 40.
  • Using the sea-level density at altitude or on a hot day. The air density field takes your actual value, and 1.225 kg/m³ only applies to roughly 15 °C at sea level.
  • Expecting a linear scale. Speed is cubed, so a 10 % speed increase costs about 33 % more aero power, not 10 %.

About this calculator

Air resistance power is the wattage a cyclist or runner must produce just to push through the air, calculated as roughly half the air density multiplied by the rider's drag area (CdA — drag coefficient times frontal area) and the cube of airspeed relative to any headwind or tailwind. Because it scales with the cube of speed, air resistance power grows dramatically as speed increases — going twice as fast costs roughly eight times the aero power — which is why it dominates total power output at racing speeds even though it barely matters when riding slowly.

Time trialists, triathletes and track cyclists use aero power estimates to judge whether an equipment change — a skinsuit, a different helmet, an aero position — is worth adopting, since even small reductions in CdA translate into real watts saved at race speed, and pacing strategy for windy courses depends on knowing how much extra power a headwind section will demand compared to a tailwind section.

This calculator takes your speed in km/h, your drag area (CdA, in m²) and the air density, and returns the power in watts needed to overcome air resistance alone. There is no separate wind input: to account for a headwind or tailwind, enter your airspeed (ground speed plus headwind, or minus tailwind) as the speed.

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