A particle performing U.C.M. of radius $\frac{\pi}{2} \mathrm{~m}$ makes ${ }_x$ revolutions in time $t$.…
A particle performing U.C.M. of radius $\frac{\pi}{2} \mathrm{~m}$ makes ${ }_x$ revolutions in time
$t$. Its tangential velocity is
$\frac{\pi x}{t}$
$\frac{\pi^2 x}{t}$
$\frac{\pi^2 x^2}{t}$
$\frac{2 \pi x}{t}$
Solution
Particle is under uniform circular motion,
So angular velocity is $\omega=\frac{2 \pi x}{t}$
The tangential velocity is $v=\omega R=\left(\frac{2 \pi x}{t}\right) R$
Given, $R=\frac{\pi}{2}$, therefore,
$v=\frac{\pi^2 x}{t}$