(a) By directly examining sprockets and counting their numbers of teeth, determine the velocity ratio between the (input) pedal crank and the (output) rear wheel for your multiple-speed bicycle, a friend’s, or a family member’s. Make a table to show how the velocity ratio changes depending on which sprocket is selected in the front and back of the chain drive. Tabulate the velocity ratio for each speed setting.

(b) For a bicycle speed of 15 mph, determine the rotational speeds of the sprockets and the speed of the chain for one of the chain drive’s speed settings. Show in your calculations how the units of the various terms are converted to obtain a dimensionally consistent result.