Gyan has a car whose wheels are 60 cm in diameter. How many complete revolution
does each wheel make in 15 minutes when the car is travelling at a speed of 60 km/hr.
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Speed of the car =66km/hr
∴ Distance travelled by the car in 1hr or 60 minutes is 66km
⇒ Distance travelled by the car in 10 minutes is
60
66
×10=11km=11×1000×100cm
Diameter of car wheel =60cm
∴ radius of car wheel =30cm
∴ Circumference of the wheel =2πr=2×
7
22
×30=
7
1320
cm
We know that,
Circumference of the wheel = Distance travelled by the car when its wheels take one complete revolution =
7
1320
cm
∴ Number of revolutions made by wheels in 10minutes is given by
distance travelled by the car when its wheel stake one complete revolution
distance travelled by the car 10minutes
=
7
1320
11×1000×100
=
1320
77×1000×100
=5833 revolutions
∴ Number of revolutions made by wheels in 10 minutes is 5833 revolutions
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