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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Solution:
⇨ Given 
⇨ t = 10 minutes = 10 x 60 = 600 seconds
⇨ v = 66 km/h 
⇨ = 66 x 1000/3600 m/s
⇨ = 660/36 m/s
⇨ = 110/6 m/s
⇨ = 55/3 m/s
⇨ Distance covered by the car in 10 minutes 
⇨ d = vt 
⇨ d = 55/3 m/s x 600 sec
⇨ d = 11000 m
⇨ d = 1100000 cm
⇨ Radius of Wheels, r = 80/2 = 40 cm
⇨ Distance covered by the wheels in 1 revolution
= 2πr
= 2 x 22/7 x 40
= 44 x 40 / 7
= 1760/7
= 251.428 cm
⇨ Number of complete revolution  each wheel make 
= 1100000/251.428
= 4375.0099



  Exercise 12.1  





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