Question

If $n$ is the frequency of rotation of a body, its angular velocity is ________.

Answer 1

Step 1: Given data

Frequency of rotation of the body, $f=n$

Step 2: Formula used

Angular frequency, $\omega =2\mathrm{\pi f}$

Step 3: Calculation

Angular frequency of the body,

$$\begin{gathered} \omega =2\mathrm{\pi f} \\ \Rightarrow \omega =2\pi n\left(\because f=n\right) \end{gathered}$$

Therefore, if $n$ is the frequency of rotation of a body, its angular velocity is $2\mathrm{\pi n}$.