# Elastic band around a cylinder

An elastic band is stretched using a known force and then placed around a cylinder. How are the forces or tensions distributed? I assume there will be two components: firstly, a tangential or circumferential component, and secondly, a radial or centripetal component. How are these components calculated?

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Assuming no friction, the tension in the elastic band will be uniformly distributed. It will apply a pressure on the cylinder. Assuming an infinitely thin band, the units would be $force / length$ rather than $force / length^2$. –  Brandon Enright May 2 at 21:18