A Pelton wheel is used to produce hydroelectric power. The average radius of the wheel is 1.83

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A Pelton wheel is used to produce hydroelectric power. The average radius of the wheel is 1.83 m, and the jet velocity is 102 m/s from a nozzle of exit diameter equal to 10.0 cm. The turning angle of the buckets is β = 165°.

(a) Calculate the volume flow rate through the turbine in m3/s. 

(b) What is the optimum rotation rate (in rpm) of the wheel (for maximum power)? 

(c) Calculate the output shaft power in MW if the efficiency of the turbine is 82 percent.

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