Wind power
Wind power: use rotor diameter, wind speed, air density. Review the formula, worked example and calculation steps.
Inputs
Use the units shown—
Enter your values and select Calculate.
Formula & explanation
Power = ½ρ × πD²/4 × v³ × C_p
Variables & units
- Rotor diameter
- m · minimum 0, maximum 1000000000000
- Wind speed
- m/s · minimum 0, maximum 1000000000000
- Air density
- kg/m³ · minimum 0.000001, maximum 1000000000000
- Power coefficient
- ratio · minimum 0, maximum 0.5925925925925926
Worked example
Use the example inputs to explore this model; the solution shows each supplied quantity.
Assumptions
Ideal swept-area power model; coefficient is capped at the Betz limit. Actual turbines have cut-in, cut-out and rated-power limits.
Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.
Practice with an example
Use the default input values to find the answer. The reset icon restores those values.
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