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

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