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Question

A wheel of radius 30 cm has 8 spokes in it. It is mounted on a fixed axle and spins at 5 rev/s. If an arrow of length 24 cm is to be shot parallel to the axis of the wheel without hitting rim or the spokes of the wheel. What minimum speed the arrow must have? (Ignore the effect of gravity)

A
9.6 m/s
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B
4.8 m/s
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C
2.4 m/s
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D
19.2 m/s
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Solution

The correct option is A 9.6 m/s

Given: ω=5 rad/s, Radius of the wheel is 30 cm
t Maximum time required by the arrow to pass the wheel
Time t=185
As we know that, speed = distance/time =24×10218=485=9.6
Speed of the arrow must be 9.6 m/s

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