Question

For a wind turbine with a rotor diameter of 43 meters, air density of 1.125 kg/m3,...

For a wind turbine with a rotor diameter of 43 meters, air density of 1.125 kg/m3, and a wind velocity of 10 m/s, Wind power density is calculated as follows:

A= Area= ¼ (π) D2 = ¼ (3.1416) (43)2 = 1451m2

Assuming 1m depth of the disk Volume = Area X Depth = 1451m2 X 1m = 1451m3

Mass = Density X Volume = 1.125 kg/m3 X 1451m3 = 1780 kg

WPD = Pwr/ A = ½ ρ V3 = ½ (1.125 kg/m3)   (10.00 m/s)3 = 613 Watts/m2

Now based on above example you calculate the WPD for a wind turbine with a 14 m diameter assuming all other conditions remain the same. Also what you conclude on basis of your results?

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