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Q3. A conical friction clutch has a semi-apex angle of 20° and transmits torque at an effective diameter of 200 mm. An axial force of 300 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 140 mm. Calculate EACH of the following:

(a) The maximum power which can be delivered through the clutch;

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

(c) The angular impulse given to the flywheel during the period of acceleration.