How is the power available in the wind mathematically related to the wind speed (v)?

Answer

Power is directly proportional to the cube of the wind speed ($P \propto v^3$)

The power available in the wind has a cubic relationship with wind speed ($P \propto v^3$), making wind speed the most dominant external factor determining potential energy yield.

How is the power available in the wind mathematically related to the wind speed (v)?

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The Betz Limit: Why All Wind Turbines are Less Than 59.24% Efficient

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