How Do You Calculate Tension in a Spinning String Loop?

[david456103]

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.

Homework Equations

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?

 

[HallsofIvy]

If you mean the string, then, yes, it is.

 

[david456103]

but how do you find that tension?

 

[Redbelly98]

Did you try drawing the force diagram, as suggested? What are the forces acting on the small piece of loop?