Question

Part A.

Compute the torque developed by an industrial motor whose output is 175

kW at an angular speed of 5000rev/min.

Part B

A drum with negligible mass, 0.600 m in diameter, is attached to the motor shaft, and the power output of the motor is used to raise a weight hanging from a rope wrapped around the drum. How heavy a weight can the motor lift at a constant speed?

Part C

At what constant speed will the weight rise?

Step 1

PART A

Given that the power of the motor is 175kW, and the angular speed is 5000rev/min. The expression for the torque of a motor in terms of its power output and the angular speed is given in equation (1) below.

Step 2

Substitute 175kW for *P*, and 5000rev/min for *ω* in equation (1) to find the torque.

Step 3

PART B

Torque can be expressed as the product of the force and the moment arm. Here the moment arm is ...

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