Question 259: Work, Energy and Power & Circular Motion

Question

A particle performing uniform circular motion of radius $$\frac{\pi}{2} \mathrm{~m}$$ makes '$$\mathrm{x}$$' revolutions in time '$$t$$'. Its tangential velocity is

Accepted Answer

$$\begin{aligned}
&\begin{aligned}
	ext { Circumference of the circle } & =2 \pi \mathrm{r} \
& =2 \pi 	imes \frac{\pi}{2}=\pi^2
\end{aligned}\
&\begin{aligned}
	herefore \quad 	ext { Tangential velocity } & =\frac{	ext { Distance Travelled }}{	ext { Time }} \
& =\frac{\pi^2 	imes x}{t} \
& =\frac{\pi^2 x}{t}
\end{aligned}
\end{aligned}$$

Answer

$$\frac{\pi \mathrm{x}}{\mathrm{t}}$$

Answer

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

Answer

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

Answer

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

Work, Energy and Power & Circular Motion

A particle performing uniform circular motion of radius $\frac{\pi}{2} \mathrm{~m} makes '\mathrm{x}' revolutions in time 't$'. Its tangential velocity is

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