Question 229: Work, Energy and Power & Circular Motion

Question

A body moves along a circular path of radius 15 cm . It starts from a point on the circular path and reaches the end of diameter in 3 second, The angular speed of the body in $\mathrm{rad} / \mathrm{s}$ is

Accepted Answer

Let $r$ be radius,
Circumference $=2 \pi$,
Half the circle is covered,
$	herefore \quad$ Distance covered $=\pi \mathrm{r}=15 \mathrm{r}$
... (given, $\mathrm{r}=15 \mathrm{~cm}$)
Speed $=\frac{	ext { distance }}{	ext { time }}=\frac{15 \pi}{3}=5 \pi$
Angular speed, $	heta=\frac{v}{r}=\frac{5 \pi}{15}=\frac{\pi}{3} \mathrm{~rad} / \mathrm{s}$

Answer

$\frac{\pi}{2}$

Answer

$\frac{\pi}{3}$

Answer

$\frac{\pi}{4}$

Answer

$\frac{\pi}{5}$

Work, Energy and Power & Circular Motion

A body moves along a circular path of radius 15 cm . It starts from a point on the circular path and reaches the end of diameter in 3 second, The angular speed of the body in \mathrm{rad} / \mathrm{s} is

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