A body of mass $\mathrm{m}=10 \mathrm{k}\mathrm{g}$ is attached to one end of a wire of length $0.3 \mathrm{m}$. What is the maximum angular speed (in $\mathrm{r}\mathrm{a}\mathrm{d} {\mathrm{s}}^{-1}$) 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 \mathrm{N} {\mathrm{m}}^{-2}$ and area of cross-section of the wire$={10}^{-2} \mathrm{c}{\mathrm{m}}^2$]