# How to Calculate Torque Produced by a Motor

## What is the torque produced by a motor with a power output of 5 hp at a speed of 1725 rpm?

Choose one:

- a) 20.56 N·m
- b) 10.28 N·m
- c) 15.42 N·m
- d) 25.73 N·m

## Answer:

The correct answer is a) 20.56 N·m.

When determining the torque produced by a motor, you can use the formula Power = Torque x Angular Speed. In this case, the power output of the motor is 5 hp at a speed of 1725 rpm.

First, you need to convert the power to watts and the speed to radians per second. Remember that 1 hp is equivalent to 745.7 watts and 1 revolution is equal to 2π radians.

So, the power in watts is calculated as 5 hp x 745.7 = 3728.5 watts. And the speed in radians per second is 1725 rpm x (2π/60) = 180.97 radians per second.

Next, you can rearrange the formula and substitute the values to find the torque:

Torque = Power / Angular Speed

Substitute the values: Torque = 3728.5 watts / 180.97 radians per second = 20.56 N·m. Therefore, the torque produced by the motor is 20.56 N·m.