A string breaks if its tension exceeds 10 newtons. A stone of mass 250, gm tied to this string of le

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3-2.Motion in Plane

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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 .......... $rad/s$

A$20$

B$40$

C$100 $

D$200$

Solution

(a) $T = m{\omega ^2}r$
$⇒$ $10 = 0.25 \times {\omega ^2} \times 0.1$
$⇒$ $\omega = 20\,rad/s$

Standard 11

Physics

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