On an old-fashioned bicycle the front wheel has a radius of 2.5 feet and the back wheel has a radius of 4 inches. If there is no slippage, how many revolutions will the back wheel make while the front wheel makes 100 revolutions?
Distance fron wheel travels = 100 rev * ( pi * 2 * 2.5 ft) = 500 pi ft
circumference of back wheel = pi * 2 * 1/3 ( 2 * 1/3 ft = diameter of 8 inches)
500 pi ft / (pi* 2 * 1/3 ) = 500 /(2/3) = 1500/2 = 750 revs of back wheel