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 N m

Answer 1

The power of a rotating body is given by:

`P=\tau\omega`

where P is the power, tau the torque and omega the angular velocity. Plugging the values given and solving for the angular velocity we have:

`\begin{gathered} 37=5.5\omega \\ \omega=(37)/(5.5) \\ \omega=3.73 \end{gathered}`

Therefore the angular velocity is 3.73 rad/s