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AP EAMCET · PHYSICS · Laws of Motion

If a stone of mass 0.5 kg tied to one end of a wire is whirled in a circular path of radius 2 m with a speed \(40 \mathrm{rev} / \mathrm{min}\) in a horizontal plane, then the tension in the wire is nearly

  1. A 14.8 N
  2. B 12.4 N
  3. C 17.5 N
  4. D 20.8 N
Verified Solution

Answer & Solution

Correct Answer

(C) 17.5 N

Step-by-step Solution

Detailed explanation

\( \omega = 40 \, \mathrm{rev/min} = \frac{40 \times 2\pi}{60} \, \mathrm{rad/s} = \frac{4\pi}{3} \, \mathrm{rad/s} \) \( T = m \omega^2 r = 0.5 \, \mathrm{kg} \times \left(\frac{4\pi}{3} \, \mathrm{rad/s}\right)^2 \times 2 \, \mathrm{m} \)…
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