Question

A wheel rotates at \[120\,\mathrm{rev/min}\]. What is its angular velocity?

Options

• \[\omega=4\pi\,\mathrm{rad/s}\]

• \[\omega=120\pi\,\mathrm{rad/s}\]

• \[\omega=2\pi\,\mathrm{rad/s}\]

• \[\omega=240\pi\,\mathrm{rad/s}\]

Answer 1

Convert revolutions to radians and minutes to seconds. The result is \[\omega=\frac{120\times2\pi}{60}=4\pi\,\mathrm{rad/s}\].