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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?

Mathgenius  Sep 16, 2018
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Circumference = Diameter x Pi
2.5 feet x 12 inches =30 inches - the radius of the front wheel.
30 x 2 =60 inches - the diameter of the front wheel.
C=60 x Pi =60Pi - inches - the circumference of the front wheel.

4 x 2 =8 inches - the diameter of the back wheel.
C =8 x Pi =8Pi - inches - the circumference of the back wheel.
100 x [60Pi / 8Pi] =6,000Pi / 8Pi =750 revolutions the back wheel will make for 100 revolutions of the front wheel.

Guest Sep 16, 2018

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