A uniform solid disk with rotational inertia \(I\) rotates about a fixed frictionless axle through its center. The disk has an initial angular velocity \(\omega_0\) at time \(t = 0\) and is subjected to a retarding drag torque \(\tau = -b\omega\), where \(b\) is a positive constant and \(\omega\) is the instantaneous angular velocity. Which of the following expressions represents the total number of revolutions the disk completes before coming to rest?