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Question

Physics Question on Motion in a straight line

A wheel completes 20002000 revolutions to cover the 9.5km9.5\,km distance, then the diameter of the wheel is

A

1.5 km

B

1.5 m

C

7.5 cm

D

7.5 m

Answer

1.5 m

Explanation

Solution

Distance covered in n revolutions is n.2πr=n.πDn.2\pi r = n .\pi D \Rightarrow 2000πD=95002000\pi D =9500 as n = 2000, distance = 9500 m so, D=95002000×π=1.5mD=\frac{9500}{2000 \times \pi}=1.5 m