Physics Two Dimensional Motion Question 288

Question: A string breaks if its tension exceeds 10 newtons. A stone of mass 250 gm tied to this string of length 10 cm is rotated in a horizontal circle. The maximum angular velocity of rotation can be

[MP PMT 1999]

Options:

A) 20 rad/s B)40 rad/s C) 100 rad/s D)200 rad/s

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Answer:

Correct Answer: A

Solution:

$ T=m{{\omega }^{2}}r $

Therefore $ 10=0.25\times {{\omega }^{2}}\times 0.1 $

Therefore $ \omega =20,rad/s $