A string is wrapped around the rim of a wheel of moment of inertia 0.40 kgm^2 and radius 10 cm. The wheel is free to rotate about its axis. Initially…

A string is wrapped around the rim of a wheel of moment of inertia $\displaystyle 0.40 \mathrm{kgm}^2$ and radius $\displaystyle 10$ cm . The wheel is free to rotate about its axis. Initially the wheel is at rest. The string is now pulled by a force of $\displaystyle 40$ N. The angular velocity of the wheel after $\displaystyle 10$ s is $\displaystyle x$ rad/s, where $\displaystyle x$ is $\displaystyle \_\_\_\_$.