How Do You Calculate Tension in a Spinning String Loop?

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Homework Statement


A piece of string of length l and mass M is fastened into a circular loop and set spinning about the center of a circle with uniform angular velocity omega. Find the tension in the string. Suggestion: Draw a force diagram for a small piece of the loop subtending a small angle delta theta.

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The Attempt at a Solution


I know I'm supposed to use differentials and then integrate, but isn't the tension in the rope the same everywhere?
 
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If you mean the string, then, yes, it is.
 
but how do you find that tension?
 
Did you try drawing the force diagram, as suggested? What are the forces acting on the small piece of loop?
 

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