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?

Diameter of the wheel of the car = 80 cm

Radius (r) of the wheel of the car = 40 cm


Circumference of wheel = 2πr


= 2π (40) = 80π cm


Speed of car = 66 km/hour


= cm/min


= 110000 cm/min


Distance travelled by the car in 10 minutes


= 110000 × 10 = 1100000 cm


Let the number of revolutions of the wheel of the car be n


n × Distance travelled in 1 revolution (i.e., circumference)


= Distance travelled in 10 minutes


n * 80 π = 1100000


n =


=


= 4375


Therefore, each wheel of the car will make 4375 revolutions


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