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 ?

Options

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

Answer

C

Explanation

( c) 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) ((2 pi rad)/(1 rev))`
=`320 pi m ~= 1.00 xx 10^3 m = 1.00 km`.