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Q2. A winch motor drives a pinion which has 320 teeth. Friction in the motor bearings is constant at 20 Nm. The pinion meshes with a gear wheel having 640 teeth and this gear wheel drives a winch drum of diameter 340 mm. The winch drum raises an anchor of mass 2 tonne at a steady speed of 0.3 m/s. Assume the efficiency of the gearing is 100%. Calculate EACH of the following:

(a) The total torque to be supplied at the output from the winch motor;

(b) The input power required by the winch motor if the motor efficiency is 85%.