A bicycle has a front chainwheel of radius 0.12 m, a rear sprocket of radius 0.045 m and a wheel of radius 0.34 m. The chain does not slip and the rear sprocket turns through the same angle as the wheel.
The pedals turn the front chainwheel through 16π 16\pi\,16π radians. Find the length of chain that passes over the front chainwheel.
Find the angle through which the rear sprocket turns.
Hence find the distance travelled by the bicycle.
State one modelling assumption, other than the chain not slipping, used in your calculation.
In this question you must show detailed reasoning.