Question

A metallic rod rotates at \[50\,\mathrm{rev/s}\]. What is its angular velocity?

Options

• \[\omega=100\,\mathrm{rad/s}\]

• \[\omega=50\pi\,\mathrm{rad/s}\]

• \[\omega=4\pi\,\mathrm{rad/s}\]

• \[\omega=100\pi\,\mathrm{rad/s}\]

Answer 1

Each revolution corresponds to \[2\pi\] radians. Thus, \[\omega=2\pi\times50=100\pi\,\mathrm{rad/s}\].