The toy –top (initially at rest) shown in the figure, has a moment of inertia $4\times {10}^{-4} \mathrm{kg}{\mathrm{m}}^2$ and it is free to rotate about the stationary axis AA’. The string wrapped around the peg of the toy-top is pulled outwards without letting it slip and simultaneously maintaining a constant tension of  5.625 N. If $\mathrm{\omega }$ is the angular speed (in rad ${\mathrm{s}}^{-1}$) of the top after 80 cm of string has been pulled off the peg. Then mark your answer as $\frac{2\mathrm{\omega }}{100}$