Calculate the theoretical power generated by a wind rotor of 5 m diameter with wind velocity of 7.2 km.h\(^{-1}\). Assume air density as 1.4 kg.m\(^{-3}\).
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The theoretical power of wind is given by:
P = 0.5 \(\times\) \(\rho\) \(\times\) A \(\times\) V\(^3\).
Some questions might use P = \(\rho\) \(\times\) A \(\times\) V\(^3\) for simplicity.
Always check the units: \(\rho\) in kg/m\(^3\), A in m\(^2\), V in m/s.