Q126 / 150 · MHT CET 2024 (04 May Shift 2) · Physics

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 rad $/ \mathrm{s}$ is

  • A
    $\frac{\pi}{2}$
  • Correct answer
    B
    $\frac{\pi}{3}$
  • C
    $\frac{\pi}{4}$
  • D
    $\frac{\pi}{5}$

Solution

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

Hence, the correct answer is option: 'B'.

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