Winding Drum of Lift
In the figure (attached), the winding drum of a lift is driven by an electric motor via a gearbox having a reduction ratio of 20:1. The direct inertia on the motor shaft is 0.05 kg m2 and that on the winding shaft is 20 kg m2. The drum, which has a diameter of 600 mm, moves a lift by means of a cable wound around it. If the lift has a mass of 500 kg, find the torque required from the motor to raise the lift with an acceleration of 2 m/s2.
I have been given the answer of 101.91 Nm to this question, but I’m not sure how to obtain this. I hope you can help. Many thanks.