Question 65 of 118

A body of mass $m=10kg$ is attached to one end of a wire of length $0.3m$. What is the maximum angular speed (in $rad{s}^{-1}$) with which it can be rotated about its other end in a space station without breaking the wire?
[Breaking stress of wire $\left(\sigma \right)$$=4.8\times {10}^{7}N{m}^{-2}$ and area of cross-section of the wire$={10}^{-2}c{m}^{2}$]

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Answer: 4

$\dfrac{T}{A}=\sigma \ldots \ldots \ldots \ldots \ldots \ldots \ldots .\left(1\right)$
$T={m\omega }^{2}l\ldots \ldots \ldots \ldots \ldots \ldots \ldots .\left(2\right)$
Solving we get,
$\omega =4rad{s}^{-1}$