Rotational Motion

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 __________.