Question

Study the given paragraph(s) and answer the following questions.

A particle is moving along a circular track of radius $3.5\mathrm{m}$ with a constant speed $4{\mathrm{ms}}^{-1}$. Answer the following for the motion of the particle.

How much time will it take to complete one complete round ?

• A. $5.5s$
• B. $11s$
• C. $22s$
• D. $3.5s$

Answer 1

The correct option is A

$5.5s$

Step 1: Given

A particle is moving along a circular track radius$\left(r\right)$ of $3.5\mathrm{m}$

The speed is$\left(v\right)$ = $4{\mathrm{ms}}^{-1}$.

Step 2: Solution

$$\begin{gathered} Time=\frac{Dis\tan ccetraveled}{Speed} \\ t=\frac{2\pi r}{v} \\ where2\pi risthecircumferenceofcircle,thatistotaldis\tan cecovered. \end{gathered}$$

$$\begin{gathered} =\frac{2\times \frac{22}{7}\times 3.5}{4} \\ =5.5\mathrm{s} \end{gathered}$$

Hence the correct option is A.