How would I do this?

Question

5. 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.

Answer 1

Power = 1/2 (density) ( area) ( Velocity ) ³

Given

A = 10 m2

Density = 1.2 kg/m3

Velocity = 10m/s

Plug in the values to get

Power

and actual power as 0.46 times the maximum power