Question

A car moves a circular path of radius $20\mathrm{m}$ in $50\mathrm{s}$ with a uniform speed find the speed

Answer 1

Step 1: Given information

Given data in the question are

1. The radius of the circular path $=20\mathrm{m}$
2. Time is taken by car to complete the circular path $=50s$

Step 2: Finding speed

We know,

$\text{speed=}\frac{\text{Distance}}{\text{Time}}$

$\Rightarrow Speed=\frac{Circumferrenceofthecircle}{Time}$

$\Rightarrow Speed=\frac{2\pi r}{T}$

$$\begin{gathered} \Rightarrow Speed=\frac{2\times 3.14\times 20}{50} \\ \Rightarrow Speed=\frac{4\times 3.14}{5}=2.512m{s}^{-1} \end{gathered}$$

Hence, the speed of the car is $2.512m{s}^{-1}.$