Q3. A 40 m diameter, three bladed wind turbine produces 700 kW at a wind speed (hub height) of 14 m/s. The air density is 1.225 kg/m3. Find: a) The rotational speed (rpm) of the rotor at a tip-speed ratio of 5.0. b) What is the tip-speed (m/s)? c) If the generator turns at 1800 rpm, what gear ratio is needed to match the rotor speed to the generator speed? d) What is the efficiency of the wind turbine system (including blades, transmission, shafts, and generator) under these conditions? e) If the mechanical power available at the wind turbine rotor is 1252.4 kW, calculate the value of rotor efficiency coefficient of the wind turbine and efficiency of the wind turbine generator.