A machine is coupled to a two- stroke engine which produces a torque of (800+180 sin 30) N.m, where is the crank angle. The mean engine speed is 400 rpm. The flywheel and the other rotating parts attached to the engine have a mass of 350 kg at a radius of gyration of 220 mm. Calculate the (i) power of the engine (ii) total fluctuation of speed of the flywheel when the (a) resisting torque is constant (b) resisting torque is (800 + 80 sine) N.m