4) 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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Radius of wheel= 80/2 = 40cm
∴ The distance travelled in one revolution is = 2πr = 2 x 22/7 x 40 = 1760/7 cm.
speed of car= 66km/hr= 66 x 1,00,000/60 cm/min = 1,10,000 cm/min.
distance covered by car in 1 min = 1,10,000cm
distance covered by car in 10min = 110,000 x 10 = 11,00,000cm.
number of complete revolution =
distance covered in 10min / distance covered in one revolution.
= 11,00,000/ 1760/7
= 11,00,000/1 x 7/1760 = 4375 revolutions.
Hence, in 10min each wheel of car makes 4375 revolutions.
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