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. 
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2-inch pully:
{{{3(rev/min)2r(pi)(1nches/rev)=3(rev/min)4(pi)(1nches/rev)=12(pi)(inches/min)}}}
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8-inch pulley:
{{{12(pi)(inches/min)(rev/2r(pi)inches)=12(pi)(inches/min)(rev/8(pi)inches)
=(12/8)(rev/min)=1.5(rev/min)}}}
revolutions per minute of the 8 inch pulley=1.5 rev/min 
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note: For a given linear speed, angular speed is inversely proportional to the radius.