Question

What is the relation between frequency f of and oscillation and its angular frequency $\omega$

• A. $\omega$ = 2 $\pi$f
• B. 2 $\pi \omega$ = f

Answer 1

The correct option is A $\omega$ = 2 $\pi$f

$\omega$ = 2 $\pi$f

You can do dimensional analysis to check which is right.
$\omega$ is defined as rate of change of angular displacement $\theta$
$\omega$ =$\theta$/t
so its dimension is rad/sec