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Two gears are connected by a chain. The larger gear has a linear velocity of  27π10 inches per second. The angular velocity of the smaller gear is  15π2 radians per minute.

What is the radius of the smaller gear?

 Feb 19, 2020
 #1
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Since the  gears are  connected....the smaller gear will move at the same linear velocity as the larger one

 

So  the larger  gear  travels    60 sec * ( 27pi /10) in /sec   = 162pi   in / min

 

So  let r be the radius of the smaller gear....then

 

162 pi    =  r  ( 15pi/2)

 

162  = r * (15/2)

 

r =  162 ( 2/15)   =  21.6  in

 

 

cool cool cool

 Feb 19, 2020

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