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Two wheel gears are connected by a chain. The larger gear has a radius of 5 centimeters and the smaller gear has a radius of 3 centimeters. The smaller gear completes 36 revolutions in 20 seconds.

What is the linear velocity of each of the gears in centimeters per minute?

 Apr 17, 2020
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The linear velocity of each of the gears is the same because they are connected by the chain (ANGULAR velocity for each is different though)

 

r = 3          36 revs/20 sec x   60 sec/min = 108 rev/min       

  3 cm   * 108 rev/min   x 2 pi /rev = 2035.75  cm/min

 Apr 17, 2020

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