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Q9. A conical friction clutch has a semi-apex angle of 15° and transmits torque at an effective diameter of 120 mm. An axial force of 160 N is applied to the clutch and the coefficient of friction at the contact surfaces is 0. 7.

The clutch is used to connect an electric motor running at 720 rev/min to a flywheel of mass 14 kg and radius of gyration 120 mm.

Calculate EACH of the following:

(a) the maximum power which can be delivered through the clutch at the motor speed. (8)

(b) the time taken to accelerate the flywheel from rest to full speed. (5)

(c) the angular impulse given to the flywheel during the period of acceleration assuming maximum clutch torque is applied. (3)