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  4. A body of mass m=10kg is attached to one end of a wire of length 0.3m. The maximum angular speed ( in rad s- 1 ) with which it can be rotated about its other end in space station is (Breaking stress of wire =4.8× 107Nm- 2 and area of cross section of the wire = 10- 2 cm2 is :

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Q. A body of mass $m=10kg$ is attached to one end of a wire of length $0.3m.$ The maximum angular speed ( in rad $s^{- 1}$ ) with which it can be rotated about its other end in space station is (Breaking stress of wire $=4.8\times 10^{7}Nm^{- 2}$ and area of cross section of the wire $= 10^{- 2} cm^{2}$ is :

NTA AbhyasNTA Abhyas 2022

Solution:

$\frac{T}{A}=\sigma $ .......(1)
$T=m\omega ^{2}\ell $ ......(2)
Solving $\omega =4rad/s$
Solution