Question

A body travels in a semi-circular path of radius$16m$. The time taken to travel this path if the speed of the body is $16m{s}^{–1}$ is ___________ s.

• A. $\pi$
• B. $2\pi$
• C. $3\pi$
• D. $4\pi$

Answer 1

The correct option is A

$\pi$

Step 1:Given data and formula used

radius of circle $r=16$

Distance covered in a semicircle$=\mathrm{\pi r}$

Speed $=16\frac{\mathrm{m}}{\mathrm{s}}$

Formula used: $\mathrm{Time}=\frac{\mathrm{Distance}}{\mathrm{speed}}$

Step 2:Calculation of time T

Put given value in above formula

$$\begin{gathered} \mathrm{T}=\frac{16\mathrm{\pi }}{16}=\mathrm{\pi } \\ \mathrm{Hence}\mathrm{time}\mathrm{is}\mathrm{\pi }\mathrm{s}. \end{gathered}$$

Hence, the correct option is (a).