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23/06/2021 10:56 am
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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 travelling at a speed of 66 km per hour?
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23/06/2021 10:59 am
The radius of car’s wheel = 80/2 = 40 cm (as D = 80 cm)
The circumference of wheels = 2πr
= 80 π cm
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 = (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)
=( 11×105)/80 π = 4375.