A particle performing uniform circular motion of radius $\frac{\pi}{2} \mathrm{~m}$ makes ' $\mathrm{x}$ '…
A particle performing uniform circular motion of radius $\frac{\pi}{2} \mathrm{~m}$ makes ' $\mathrm{x}$ ' revolutions in time ' $\mathrm{t}$ '. Its tangential velocity is
$\frac{\pi \mathrm{X}}{\mathrm{t}}$
$\frac{\pi \mathrm{x}^2}{\mathrm{t}}$
$\frac{\pi^2 x^2}{t}$
$\frac{\pi^2 x}{t}$
Solution
$\begin{aligned} & \text { Circumference of the circle }=2 \pi \mathrm{r} \\ & \therefore \quad \text { Tangential velocity }=\frac{\text { Distance Travelled }}{\text { Time }} \\ & \qquad \frac{\pi^2 \times x}{\mathrm{t}} \\ & =\frac{\pi^2 x}{\mathrm{t}}\end{aligned}$