The density of air under normal conditions is about 1.2 kg/m3. For a wind speed of 10 m/s, find

(a) the actual power carried in the wind
(b) the maximum power (Betz limit) extractable by a wind turbine with a blade area of 10 m2; and
(c) the actual power extracted by a wind turbine with a blade area of 10 m2 and a power coefficient of 0.46.