A circular ring of mass 3.14 kg and radius 0.05 m is rotating with constant angular velocity 10 rad/s about its center. The tension in the wire of ring is

Q: A circular ring of mass 3.14 kg and radius 0.05 m is rotating with constant angular velocity 10 rad/s about its center. The tension in the wire of ring is

(a) 1 N

(b) 2 N

(c) 2.5 N

(d) 5 N

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Ans: (c)
Sol: $T = \frac{1}{2\pi} m \omega^2 r $

$T = \frac{1}{2\pi} \times 3.14 \times 100 \times 0.05 $

T = 2.5 N