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?

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 travelled? (A) 0.50 km (B) 0.80 km (C) 1.0 km (D) 1.5 km

Tardigrade Admin · Accepted Answer

The wheel has a radius of 0.500 m and made 320 revolutions. The distance travelled is s =r θ=(0.500 m )(320 rev )((2 π rad /1 rev )) =320 π m ≃ 1.00 × 103 m =1.00 km

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?

0.50 km

0.80 km

1.0 km

1.5 km

The wheel has a radius of $0.500 m$ and made 320 revolutions. The distance travelled is
$s = r θ = (0.500 m) (320 re v) (\frac{2 π r a d}{1 re v})$
$= 320 πm ≃ 1.00 \times 1 0^{3} m = 1.00 km$

Q. A cyclist rides a bicycle with a wheel radius of 0.500m 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?