An engine is coupled via a single-plate clutch to a shaft. The plate has contact surfaces at both sides. The outer and inner diameters of the plate are 350 mm and 180 mm respectively. The coefficient of friction is 0.3 and the force applied to the plate is 2 kN . The engine develops a constant torque of
45N.m
and the moment of inertia is
9kg.m^(2)
and exerts a constant resisting torque of 10 N.m. Assume uniform wear. When the clutch is engaged at an engine speed of
500(r)/(m)in
and the shaft is inactive, calculate: 3.1 The combined speed between the engine and shaft at the moment no slip occurs (9) 3.2 The total time of slip (5) 3.3 The time taken for the shaft to reach
500(r)/(m)in
. (6)