A thin, solid conducting disk of radius \(R\) and uniform thickness \(t_0\) rotates at a constant angular speed \(\omega_0\) about a perpendicular axis through its center. A uniform magnetic field of magnitude \(B\) is applied perpendicular to the plane of the disk over a small localized region centered at a distance \(r_0\) from the axis of rotation, generating eddy currents that exert a magnetic braking torque of magnitude \(\tau_0\) on the disk. The disk is replaced by a second disk made of the same conducting material and radius \(R\) but with thickness \(2t_0\), and it is rotated at an angular speed \(2\omega_0\) in the same magnetic field. What is the magnitude of the magnetic braking torque exerted on the second disk?