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Q5. A conical friction clutch, with an apex angle of 30°, transmits torque at an effective diameter of 150 mm when an axial force of 175 N is applied. The clutch connects an electric motor running at 900 rpm to a flywheel, which has a mass of 22.5 kg with a radius of gyration of 100 mm.

If the coefficient of friction between contact surfaces is 0.7, calculate EACH of the following:

(a) the maximum power transmitted from the clutch to the flywheel; (8)

(b) the time taken for the flywheel to accelerate to full speed from rest; (6)

(c) the angular impulse applied to the flywheel whilst accelerating. (2)