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Q.

The wheel in figure has eight equally spaced spokes and a radius of 30 cm. It is mounted on a fixed axle and is spinning at 2.5 rev/s. You want to shoot a 20-cm-long arrow parallel to this axle and through the wheel without hitting any of the spokes. Assume that the arrow and the spokes are very thin. What minimum speed must the arrow have?

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a

3.50 m/s

b

5.0 m/s

c

2.5 m/s

d

4.0 m/s

answer is D.

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Detailed Solution

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To avoid touching the spokes, the arrow must go through the wheel in not more than

t = 18rev2.5 rev/s = 0.050 s.

The minimum speed of the arrow is then

vmin = 20 cm0.050 s = 400 cm/s = 4.0 m/s

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