The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is traveling at a speed of 66 km
per hour?

Asked by Pragya Singh | 1 year ago |  85

1 Answer

Solution :-

The radius of car’s wheel = \( \dfrac{80}{2} \) = 40 cm (as D = 80 cm)

So, the circumference of wheels = 2πr = 80 π cm

Now, in one revolution, the distance covered = circumference of the wheel = 80 π cm

It is given that the distance covered by the car in 1 hr = 66km

Converting km into cm we get,

Distance covered by the car in 1hr = (66×105) cm

In 10 minutes, the distance covered will be 

\(\dfrac{(66×105×10)}{60}= 1100000 cm/s \)

Distance covered by car = 11×105 cm

Now, the no. of revolutions of the wheels 

= (Distance covered by the car/Circumference of the wheels)

=\(\dfrac{ ( 11×105)}{80 π} \) = 4375.

Therefore, each wheel of the car will make 4375 revolutions.

Answered by Abhisek | 1 year ago

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