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Q5) A winch motor drives a pinion with 320 teeth. The friction at the motor bearings is a constant 20 Nm. The pinion meshes with a gear wheel that has 640 teeth which drives a 120 mm diameter shaft. The shaft is supported in bearings with a coefficient of friction of 0.12 and drives a winch drum with an effective diameter of 340 mm. The winch drum raises a mass of  2 tonnes at a constant vertical velocity of 0.3 m/s as shown in fig Q5.

Calculate EACH of the following:

a) the driving torque required by the motor; (12)

b) the input power if the motor is 86% efficient. (4)