Torque-Angle Diagrams 1. A certain engine develops an output torque of 1800+ 200 sin 20 Nm, where 0 is the crank angle measured from some datum. This engine drives a machine which requires a driving torque of 1800 + 300 sin 0 Nm. The rotating parts have a mass of 100 kg, with a radius of gyration of 0.25 m. The maximum speed of the rotating parts is observed to be 250 rev/min. a) Sketch both the driving and load torque curves on the same axes b) Prove that during 1 cycle, the maximum energy is stored between and 5.56 radians c) Determine the maximum energy stored d) Determine the minimum speed of the rotating parts e) Determine the coefficient of fluctuation of speed f) Determine the mean power developed by the engine (Trigonometric identity: sin 20 = 2 sin cos 0 ) (Ans: (c):612.5 J, (d):211.25 rpm, (e):0.168, (f): 42.7 kW)