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Two gears are connected by a chain. The larger gear has a linear velocity of 12π/5 inches per second. The angular velocity of the smaller gear is 32π/3 radians per minute. What is the radius of the smaller gear?

 

  • 0.225 foot
  • 1.125 feet
  • 8.4 feet
  • 13.5 feet
 Apr 9, 2020
 #1
avatar+1968 
+3

Check this expert answer:

 

https://brainly.com/question/15154430

 Apr 9, 2020
 #2
avatar+111329 
+1

The smaller  gear  moves  through    (32pi)  / 3  * 1/60  =  32pi / 180  = (8/45) pi    rads /sec

 

And  the smaller gear  will have  the  same  linear velocity  as  the  large gear

 

So

 

12pi / 5  =  r ( 8/45) pi      multiply both sides  by  45/8....divide out pi

 

(45 * 12)   / (8 * 5)   =  r

 

540 / 40  =  r ≈  13.5  in  =    13.5 /12  =   1.125 ft

 

 

cool cool cool

 Apr 9, 2020

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