A wind turbine on a wind farm turns in response toa force of high-speed air resistance
Chapter 8, Problem 55(choose chapter or problem)
A wind turbine on a wind farm turns in response toa force of high-speed air resistance, R 5 12DrAv2. Thepower available is P 5 Rv 5 12Drpr 2v3, where v is thewind speed and we have assumed a circular face forthe wind turbine of radius r. Take the drag coefficientas D 5 1.00 and the density of air from the front endpaper.For a wind turbine having r 5 1.50 m, calculatethe power available with (a) v 5 8.00 m/s and (b) v 524.0 m/s. The power delivered to the generator is limitedby the efficiency of the system, about 25%. Forcomparison, a large American home uses about 2 kWof electric power.
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