Question

Find the angular velocity (in rad/s) of a motor that is developing 37.0 W of power with a torque of 5.5 Nm.

Answer 1

`6.72\text{ rad/s}`

Step-by-step explanation

Parameters given:

Power, P = 37.0 W

Torque, T = 5.5 Nm

To find the angular velocity, we apply the relationship between torque and power:

`P=\tau\cdot\omega`

where ω = angular velocity

Therefore, the angular velocity of the motor is:

`\begin{gathered} \omega=(P)/(\tau) \\ \omega=(37)/(5.5) \\ \omega=6.72\text{ rad/s} \end{gathered}`

That is the answer.