Solution:
The angular velocity is already given, that is 45 revolutions per second. We are required to convert the unit to radians per second. Therefore,
[tex]\sf 45\;\dfrac{rev}{s} \times\dfrac{2\pi\;rad}{1\;rev} =282.7\;radians\;per\;second[/tex]
Note: 1 revolution is equal to 2π radians (about 6.283 radians).
