MHB How to Prove the Ratio of Radii and Angular Speeds of Two Connected Pulleys?

[urekmazino]

Hello there, i need some help on my homework. there's no given numbers that's why it's hard for me to answer this one.

Two pulleys with radii r1 and r2 rotate at angular speeds of w1 and w2. if the pulleys are connected by a belt, show that r1/r2=w2/w1

 

[Evgeny.Makarov]

Use the fact that the length of the belt moved past each pulley in any period of time is the same for both pulleys.