SOLUTION: Two pullers, one with radius of 2 inches and the other with radius 8 inches, are connected by a belt. If the 2 inch pulley is caused to rotate at 3 revolutions per minute, determin

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Question 817820: Two pullers, one with radius of 2 inches and the other with radius 8 inches, are connected by a belt. If the 2 inch pulley is caused to rotate at 3 revolutions per minute, determine the revolutions per minute of the 8 inch pulley.
Found 2 solutions by TimothyLamb, lwsshak3:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
c = 2 pi r
---
a = 2 pi 2
a = 12.566371
---
b = 2 pi 8
b = 50.265482
---
revb/reva = (a/b)
revb = reva(a/b)
---
revb = 3(12.566371/50.265482)
---
revb = 0.75 rpm
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Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Two pullers, one with radius of 2 inches and the other with radius 8 inches, are connected by a belt. If the 2 inch pulley is caused to rotate at 3 revolutions per minute, determine the revolutions per minute of the 8 inch pulley.
***
2-inch pully:

..
8-inch pulley:

revolutions per minute of the 8 inch pulley=1.5 rev/min
***
..
note: For a given linear speed, angular speed is inversely proportional to the radius.