A conveyor drive system to produce translation of the load is shown in Figure. Suppose that the equivalent inertia felt at the motor shaft is 0.05 kg.m2, and that the effect of Coulomb friction in the system produces an opposing torque of 3.6 N.m at the motor shaft. Neglect damping in the system. It is desired to have the motor shaft rotate through 11 revolutions in a total time of 3 s, using a trapezoidal speed profile with t1 = 0.5 s and t2 = 2.5 s.
The given motor parameters are Ra = 3Ω, La = 4 x 10-3 H, and KT = 0.4N.m/A. Compute the energy consumption per cycle; the maximum required torque, current, and voltage; the rms torque; and the rms current.

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Load Drive chains Tachometer Sprocket 2 Drive wheels Drive shaft Chain Sprocket I Reducer Motor