Wind ( = 1.204 kg/m 3 ) blows through a HAWT wind turbine. The turbine diameter is

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Wind (ρ = 1.204 kg/m3) blows through a HAWT wind turbine. The turbine diameter is 45.0 m. The combined efficiency of the gearbox and generator is 88 percent. 

(a) For a realistic power coefficient of 0.42, estimate the electrical power production when the wind blows at 7.8 m/s. 

(b) Repeat and compare using the Betz limit, assuming the same gearbox and generator.

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