A particle performing uniform circular motion | vedclass

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Question

(C) The radius of the circular path is $r = \frac{\pi}{2} \,m$.The particle makes $x$ revolutions in time $t$.The total distance covered in $x$ revolu

Vedclass · Accepted Answer

$\frac{\pi^2 x}{t}$

Vedclass · Answer

(C) The radius of the circular path is $r = \frac{\pi}{2} \,m$.The particle makes $x$ revolutions in time $t$.The total distance covered in $x$ revolutions is $d = x 	imes (2\pi r)$.Substituting the value of $r$: $d = x 	imes (2\pi 	imes \frac{\pi}{2}) = x 	imes \pi^2 = \pi^2 x \,m$.The tangential velocity $v$ is defined as the total distance covered divided by the time taken:$v = \frac{d}{t} = \frac{\pi^2 x}{t} \,m/s$.Therefore, the correct option is $C$.

$A$ particle performing uniform circular motion of radius $\frac{\pi}{2} \,m$ makes $x$ revolutions in time $t$. Its tangential velocity is

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