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sci.wind-turbine-power-curve Calculator
Calculates wind turbine power output from hub-height wind speed, rotor diameter, and power coefficient Cp using P = ½ρπR²Cpv³. Betz limit: maximum theoretical Cp = 16/27 ≈ 0.593 — modern large turbines achieve Cp ≈ 0.45–0.50.
Inputs
Wind Speed Ms
Rate of movement. 1 m/s = 3.6 km/h = 2.237 mph.
Rotor Diameter M
Distance across a circle through its centre. Always confirm units match the rest of the calculation.
Power Coefficient Cp
Rate of energy transfer (W). P = V×I (electrical). P = F×v (mechanical). 1 horsepower ≈ 746 W.
Air Density Kgm3
Mass per unit volume (kg/m³). Water: 1,000. Air: 1.225. Steel: 7,850. Affects buoyancy, flow, and structural loads.
Results
turbine power output (kW)
Sample size or count used in the calculation.
rotor swept area (m²)
The computed two-dimensional surface area.
Cp / Betz limit
Reference formula or conversion factor shown for context.
Betz limit Cp_max
Reference formula or conversion factor shown for context.
P = ½ρACpv³
Reference formula or conversion factor shown for context.