In a Bicycle, the Pedals Drive the Chainwheel, Which Is

Multiple Choice

In a bicycle, the pedals drive the chainwheel, which is connected by means of a chain to the cogwheel, a small wheel attached to the rear wheel. In a certain bicycle, the radius of the chainwheel is 12.0 cm, the radius of the cogwheel is 4.0 cm, and the radius of the rear wheel is 66.0 cm. At what rate should the cyclist be pedaling in order for the bicycle to have a forward speed of 10.0 m/s?

A) 48.2 rpm
B) 16.1 rpm
C) 12.1 rpm
D) 24.1 rpm
E) 60.3 rpm