1. To power the bicycle, cyclist pushes pedals attached to the crank, that turns the chain ring, pulling the chain over the cog in hub of rear wheel to rotate wheel and move bicycle forward. So follow mechanical energy from the cyclist to the road...

Cyclist turns crank... angular speed of crank is same as angular speed of chain ring (they're attached) angular speed of chain ring translates to linear speed of chain linear speed of chain translates to angular speed of cog angular speed of cog is same as angular speed of rear wheel they are attached angular speed of rear wheel translates to linear speed of bicycle.

Let the large chain ring with 53 teeth equally spaced 12mm apart, small chain ring with 30 teeth, small cog with 12 teeth, large cog with 28 teeth, and wheels with diameter 700mm. The fit cyclist can comfortably turn crank at angular speeds between 30 and 130 rpm.

To go fast, the cyclist will shift to large chain ring and small cog and pedal at maximum rpm. under the conditions,

a) Determine angular speed of chain ring and linear speed of chain? What if the sports photographer snapped the picture of the racing bicycle using the shutter speed of 1/500 sec. In resulting photograph, spokes of bicycle were blurred through the angle of about 5°. How fast was bicycle travelling?