Answer:
[tex]\omega=369.6\frac{rad}{s}[/tex]
Explanation:
The time taken to complete one revolution is the period and is defined as:
[tex]T=\frac{1}{f}(1)[/tex]
The angular speed is given by:
[tex]\omega=2\pi f\\f=\frac{\omega}{2\pi}(2)[/tex]
Replacing (2) in (1) and solving for [tex]\omega[/tex]:
[tex]T=\frac{1}{\frac{\omega}{2\pi}}\\\omega=\frac{2\pi}{T}\\\omega=\frac{2\pi}{0.017s}\\\omega=369.6\frac{rad}{s}[/tex]
