Question

1. A race car moves along a circular track of radius 100m at a velocity of 25m/s. (a) What is

the time taken to complete one lap of the circular track. (b) What is the time taken for 10
laps.

Answer 1

Given :

A race car moves along a circular track of radius 100m at a velocity of 25m/s.

To Find :

(a) What is the time taken to complete one lap of the circular track.

(b) What is the time taken for 10 laps.

Solution :

Circumference of circular track,

`C = 2\pi r\\\\C = 2* \pi * 100\ m\\\\C = 628.32 \ m`

a) Time taken to complete one lap is :

`t= (628.32)/(25)\ s\\\\t =25.13 \ s`

b) Time taken to complete 10 laps is :

`t_(10) = 10* t\\\\t_(10) = 10* 25.13\ s\\\\t_(10) = 251.3\ s`

Hence, this is the required solution.