# 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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