Rotational Motion: JEE Main 2024 Physics question

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