Q. 323.9( 9 Votes )

# The wheels of a car make 2500 revolutions in covering a distance of 4.95 km. Find the diameter of a wheel.

Answer :

Let the diameter of the wheel be ‘d’ cm

Total distance covered in 250 revolutions = 49.5 km = 495000 m

⇒ Distance covered in one revolution = 198 cm → eqn1

Also, Distance covered in one revolution = circumference of wheel

∴ Distance covered in one revolution = πD where d = diameter of wheel

Equate equation 1 and 2 we get,

⟹ d = 9×7

⟹ d = 63 cm

The diameter of the wheel is 63 cm.

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PREVIOUSThe wheels of the locomotive of a train are 2.1 m in radius. They make 75 revolutions in one minute. Find the speed of the train in km per hour.NEXTA boy is cycling in such a way that the wheels of his bicycle are making 140 revolutions per minute. If the diameter of a wheel is 60 cm, calculate the speed (in km/h) at which the boy is cycling.

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