Find the tension!

A thin uniform elastic cord of mass \(m\) and length \(l\) has the coefficient of elasticity \(\chi\). After having the ends of the cord spliced (joined together), it was placed on a smooth horizontal plane shaped as a circle and set into a rotation with angular speed \(\omega\) about the vertical axis. Find the tension (in Newtons) of the cord in this state to 2 decimal places.

Details and Assumptions

\(m = 5\text{ kg}\), \(l = 3\text{ m}\), \(\chi = 400\text{ Pa}\), \(\omega = 2.5 \text{ revs/sec}\).

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