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Question

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


Solution

Distance =4.95 km=4.95×1000×100 cm

Therefore, Distance covered by the wheels in 1 revolution =Total distance coveredNumber of revolutions=4.95×1000×1002500=198 cm

Now,

The circumference of the wheel = 198 cm

2πr=1982×227×r=198r=198×744=31.5 cm

Therefore, Diameter of the wheel =2r=2(31.5)=63 cm

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