1. Tardigrade
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  3. Physics
  4. 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 travelled?

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Q. 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 travelled?

System of Particles and Rotational Motion

Solution:

The wheel has a radius of $0.500 \,m$ and made 320 revolutions. The distance travelled is
$s =r \theta=(0.500 \,m )(320\, rev )\left(\frac{2 \pi \,rad }{1 \,rev }\right)$
$=320\, \pi m \simeq 1.00 \times 10^{3} m =1.00\,km$