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TS EAMCET · Physics · Work Power Energy

A spherical bob of mass \(250 \mathrm{~g}\) is attached to the end of a string having length \(50 \mathrm{~cm}\). The bob is rotated on a horizontal circular path about a vertical axis. The maximum tension that the string can bear is \(72 \mathrm{~N}\). The maximum possible value of angular velocity of bob (in \(\mathrm{rad} / \mathrm{s}\) ) is

  1. A 18
  2. B 24
  3. C 28
  4. D 32
Verified Solution

Answer & Solution

Correct Answer

(B) 24

Step-by-step Solution

Detailed explanation

We have \[ \begin{aligned} \mathrm{T}_{\max } & =\mathrm{m} \omega_{\max }^2 \mathrm{R} \\ \omega_{\max } & =\sqrt{\frac{\mathrm{T}_{\max }}{\mathrm{mR}}}=\sqrt{\frac{72}{0.25 \times 0.5}}=24 \mathrm{rad} / \mathrm{s} \end{aligned} \]
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