The power of a windmill having blade area equal to \( A \) and wind velocity equal to \( v \) is...

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The power of a windmill having blade area equal to \( A \) and wind velocity equal to \( v \) is (where, \( \rho \) is density of air)
(a) \( \frac{A \rho v^{3}}{2} \)
(b) \( \frac{A \rho v^{2}}{2} \)
(c) \( \frac{A \rho v}{2} \)
(d) \( A \rho v^{3} \)
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