A hydraulic pump is driven with an electric motor(see figure below). The pump must rotate at 1,000 rpm. The pump is equipped with a 6.0-in.-diameter belt pulley. The motor runs at 1,500 rpm. What diameter pulley is required on the motor?

Question

Quizplus · Accepted Answer

To determine the required diameter of the motor pulley, we can use the formula:

motor speed x motor pulley diameter = pump speed x pump pulley diameter

Plugging in the given values, we get:

1,500 rpm x motor pulley diameter = 1,000 rpm x 6.0 in.

Solving for motor pulley diameter, we get:

motor pulley diameter = (1,000 rpm x 6.0 in.) / 1,500 rpm

motor pulley diameter = 4 in.

Therefore, the required diameter of the motor pulley is 4 in. (Choice C).

A Hydraulic Pump Is Driven with an Electric Motor(see Figure