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Q7. A winch motor drives a pinion with 120 teeth. The friction at the motor bearing is a constant 20 Nm. The pinion meshes with a gear wheel that has 360 teeth which drives 120 mm diameter shaft. The horizontal shaft supports a winch drum with an effective diameter of 420 mm and the assembly is balanced in bearings with a coefficient of friction of 0.12 as shown in Fig Q7.

The winch drum raises a mass of 2.25 tonnes at a constant vertical velocity of 0.3 m/s. (16)

Calculate the minimum input power for an 86% efficient motor.