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Question

A wheel has eight equally spaced, very thin spokes of length 30 cm. It is rotating about an axis OO' which is perpendicular to its plane and passing through the centre, with 2.5 rps. We want to pass a 20 cm long arrow parallel to the axis and without hitting any spoke. What should be the minimum horizontal velocity of the arrow?

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A
3 m/s
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B
4 m/s
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C
5 m/s
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D
6 m/s
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Solution

The correct option is B 4 m/s
Time to pass one spoke t=θω=π/4(2.5)(2π)=120 s
For arrow V=St=0.2 m1/20 s=4 m/s

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