(a) A gear box is placed between a wind turbine rotor and an electrical generator in order to match the efficient rotating speeds of the two components. The wind turbine operates at a maximum power...

Extracted text: (a) A gear box is placed between a wind turbine rotor and an electrical generator in order to match the efficient rotating speeds of the two components. The wind turbine operates at a maximum power coefficient Cp = 0.41 at a tip speed ratio = 10. The rated wind speed is 12 m/s and the blade radius is 20 m. The generator rotates at a constant speed of 3000 rev/min. The air density is 1.225 kg/m3. Estimate the nominal power rating of the gear box required.