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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?

 Feb 27, 2021
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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

 Feb 27, 2021

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