The front wheel on an ancient bicycle has radius 0.5 m. It moves with an angular velocity given by the function ω(t) = 2 + 4t2 , where t is in sec. About how far does the bicycle move between t = 2 s and t = 3s?

1) 36 m

2) 27 m

3) 21 m

4) 14 m  

A bicycle wheel is rotating with an angular velocity of 3.1 rev/s. If the coefficient of kinetic friction between the wheel and the brakes is 0.87, find the number of revolutions the wheel makes in coming to rest. The moment of inertia of the wheel is 0.24 kg-m and its radius is 0.32m.

The sprockets and chain of a bicycle are shown in the figure. The pedal sprocket has a radius of 4 inches, the wheel sprocket a radius of 2 inches, and the wheel a radius of 13 inches. The cyclist pedals at 40 rpm.

(a) Find the angular velocity of the wheel sprocket

(b) Find the speed of the bicycle.