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Wind Turbine Betz Power Output Calculator

P = ½ρAv³Cp — power from wind speed and rotor area.

Calculates the theoretical and actual power output of a wind turbine from wind speed, rotor diameter, air density, and power coefficient Cp.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

P = ½ × ρ × π × R² × v³ × Cp; Betz limit Cp_max = 16/27 ≈ 0.593

In depth

Calculates the theoretical and actual power output of a wind turbine from wind speed, rotor diameter, air density, and power coefficient Cp.