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Question

A cyclist rides a bicycle with a wheel radius of 0.500 m across campus. A piece of plastic on the front rim makes a clicking sound every time it passes through the fork. If the cyclist counts 320 clicks between her apartment and the cafeteria, how far has she traveled?

A
1.5 km
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B
0.80 km
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C
1.0 km
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D
0.50 km
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Solution

The correct option is C 1.0 km
The wheel has a radius of 0.500 m and made 320 revolutions. The distance traveled is

s=rθ=(0.500 m) (320rev)
(2π rad1 rev)
=320 πm=1.00×103 m=1.00 km
Final Answer: (c)

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