A car moves round a circular test track of radius

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

25\,\text{m}

, making

36

complete revolutions every minute. (i) Calculate the period of one revolution. (ii) Show algebraically that the speed

v

of the car can be expressed in the form

v = 2\pi r f

, where

f

is the frequency of revolution. (iii) Using the result of part (ii), find the speed of the car in

\text{m/s}

and in

\text{km/h}

. (iv) If the driver increases the number of revolutions per minute to

54

while keeping to the same track, what will be the new speed?