Wind is like a stampede of molecules. During episodes of wind, the rotors of a wind turbine are bombarded by this stampede of molecules, which, by colliding with the rotors, transfers its momentum to them. Higher wind means more molecules per unit time; more molecules means more mass, so the momentum of the wind is much greater at higher wind speeds, allowing it to transfer more energy to the rotors to be converted into electricity per unit time.
Mathematically, wind power increases as the cube of the wind speed, so if the wind speed doubles, the power output increases by a factor of eight.
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