In the section on wind turbines, an expression was derived for the ideal power coefficient of a wind turbine, C P 4a(1 a) 2 Prove that the maximum possible power coefficient occurs when a 1 3 ...

To prove that the maximum possible power coefficient CP occurs when a is equal to 13 in the expression CP 4a1 a2 we can use calculus to find the maxim ...

In the section on wind turbines, an expression was derived for the ideal power coefficient of a

Question:

In the section on wind turbines, an expression was derived for the ideal power coefficient of a wind turbine, C_P = 4a(1 – a)². Prove that the maximum possible power coefficient occurs when a = 1/3.

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