SOLUTION: Good evening, i'm stuck on this problem, because there's no given numbers. Two pulleys with radii r1 and r2 rotate at angular speed of w1 and w2, if the pulleys are connected by a

Question 1133739: Good evening, i'm stuck on this problem, because there's no given numbers. Two pulleys with radii r1 and r2 rotate at angular speed of w1 and w2, if the pulleys are connected by a belt, show that r1/r2=w2/w1
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
We know that velocity of a point on the rim of each pulley is given by
:
v1 = w1 * r1 and v2 = w2 * r2
:
in a two pulley system connected by a belt that does not slip, we know that
:
w1 * r1 = w2 * r2
:
therefore,
:
r1/r2 = w2/w1
:

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