In: Mechanical Engineering
An engine is coupled to a rotating drum by a friction clutch which has a single plate faced on each side with a ring of friction material. The inner and outer diameters of the friction faces are 224 mm and 300 mm respectively. The coefficient of friction is 0,3. Other data available are: axial pressure on plate = 1350 N ; engine torque is constant at 40,7 N.m inertia of engine equivalent to a flywheel of mass 20,7 kg; and radius of gyration k=0.305 m. Drum mass is 54,5 kg; radius of gyration k=0,38 m; total friction torque in bearings = 6,8 N.m; and the clutch is engaged when engine speed is 500 r/min and the drum is at rest.
Assuming uniform wear conditions, find the engine speed at which the clutch ceases slipping and the total time for the drum to reach 500 r/min.