The equation of the turning moment for a three crank engine is T = 25.0 -7.5 sin 3 kNm, where q is the crank angle measured from inner dead centre. The resisting torque exerted by, the driven machine is given by Tr = 25.0 + 3.6 sin kN m. The moment of inertia of the flywheel is 360 kg m2 and the mean engine speed is 450 rpm. Calculate
(i) Power of the engine
(ii) Maximum fluctuation of flywheel energy per cycle, and
(iii) The coefficient of fluctuation of speed.