Question

A particle moves along a circle of radius R with a constant angular speed $\omega$ its displacement (only magnitude) in time t will be

• A. $\omega t$
• B. $2$ $R$ $\cos$ $\omega t$
• C. $2$ $R$ $\sin$ $\omega t$
• D. $2R$ $\sin$ $\frac{\omega t}{2}$

Answer 1

The correct option is A $\omega t$

Displacement ,$\theta =\omega t+\frac{1}{2}\alpha t^2$

But here speed is constant so

$\left(\alpha \right)$ angular acceleration = 0

So displacement ${}^{\prime }{\theta }^{\prime }=\omega t$

Hence (A) option is correct.