Work out wind turbine power instantly with clear inputs, formula shown and shareable results.
Wind power is half rho A v cubed. Two consequences dominate: doubling the rotor diameter quadruples power, and doubling wind speed multiplies it by eight. No turbine can exceed the Betz limit of 59.3% of the wind's power, and real machines reach 35-45%.
Wind power
P = 0.5 x rho x A x v^3 x Cp x efficiency; Betz limit Cp = 0.593
Because power scales with the cube of speed. A site with 20% more wind yields about 73% more energy from the same turbine.
The theoretical maximum fraction of wind power any rotor can extract, 16/27 or 59.3%, since the air must retain some velocity to leave the rotor.