An engine is coupled to a rotating drum by a friction clutchwhich has a single plate faced on each side with a ring of frictionmaterial. The inner and outer diameters of the friction faces are224 mm and 300 mm respectively. The coefficient of friction is 0,3.Other data available are: axial pressure on plate = 1350 N ; enginetorque is constant at 40,7 N.m inertia of engine equivalent to aflywheel of mass 20,7 kg; and radius of gyration k=0.305 m. Drummass is 54,5 kg; radius of gyration k=0,38 m; total friction torquein bearings = 6,8 N.m; and the clutch is engaged when engine speedis 500 r/min and the drum is at rest.
Assuming uniform wear conditions, find the engine speed at whichthe clutch ceases slipping and the total time for the drum to reach500 r/min.
