Question

A CAR MAKES 50000 REVOLUTIONS TO TRAVEL A DISTANCE OF 121 KM . FIND THE DIAMETER OF THE WHEEL OF THE CAR (in cm)

Answer 1

Revolution=50000 D=121km=12100000cm In 1 revolution distance= 12100000/50000=242 cm Therefore Circumference of wheel= 2pi r 2*22/7*r= 242 r= 242*7/2*22 r=77/2 cm D= 2r = 2*77/2 =77cm

Answer 2

The diameter of the wheel of the car is 77 cm.

Step-by-step explanation:

We have,

A car makes 50000 revolutions to travel a distance of 121 km.

It is required to find the diameter of the wheel of the car.

The distance travelled in one revolution or the circumference of the wheel is given by :

$C=\dfrac{121\times 10^3}{50000 }=2\pi r\\\\2\pi r=242\ cm\\\\2r=D=\dfrac{242}{\pi}\\\\D=\dfrac{242\times 7}{22}\\\\D=77\ cm$

So, the diameter of the wheel of the car is 77 cm.

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