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Calculators/Ecology/Wind turbine power output
Ecology

Wind turbine power output calculator

Electrical power generated by a wind turbine from rotor size, wind speed and efficiency.

What this calculator does

Wind turbine power output works out electrical power generated by a wind turbine from rotor size, wind speed and efficiency. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaPwind = ½ρAv³, A = π(D/2)²; Poutput = Cp·Pwind, Cp bounded by the Betz limit (59.3%)

The inputs explained

FieldWhat to enter
Rotor diameter (m)A number, measured in m. Starts at 80.
Wind speed (m/s)A number, measured in m/s. Starts at 8.
Air density (kg/m³)A number, measured in kg/m³. Starts at 1.225.
Turbine efficiency coefficient CpA number. Starts at 0.35.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with rotor diameter

Every other input is held at the calculator’s starting values while rotor diameter varies. Select any row to load that scenario into the calculator.

How the answer changes with rotor diameter
Rotor diameter (m)Power outputAvailable wind powerSwept rotor area
40138 kW394 kW1,256.6 m²
60310 kW887 kW2,827.4 m²
80552 kW1,576 kW5,026.5 m²
1201,241 kW3,547 kW11,309.7 m²
1602,207 kW6,305 kW20,106.2 m²
2404,965 kW14,187 kW45,238.9 m²