+0  
 
0
99
1
avatar

Two gears are connected by a chain. The larger gear has a linear velocity of 17π/6 inches per second. The angular velocity of the smaller gear is  34π/3 radians per minute.

What is the radius of the smaller gear?

 May 1, 2020
 #1
avatar+111435 
+1

Since the two gears are connected by a chain, the smaller gear will have the same linear velocity as the larger chain

 

The linear velocity per miunute is  60 * 17pi/6  =   170 pi    inches per minute

 

So.......to find the radius of the smaller  chain we have

 

170 pi  =  radius *  (radians per minute)

 

170 pi = radius  * ( 34pi/3  )         divide out pi

 

170  = rradius * (34/3)        multiply both sides by 3/34

 

170 (3/34)  =  radius  =  15  in

 

 

cool cool cool

 May 1, 2020

4 Online Users