Assume that a small model wind turbine of diameter 90 cm, rotating at 1200 rev/min, delivers power of 280W, when subjected to a wind of 12 m/s. The data is to be used for a prototype of diameter 50 m and winds of 8 m/s.
For dynamic similarity, estimate (a) the rotation rate, and (b) the power delivered by the prototype. Assume sea-level air density.