Disk 1 and Disk 2 are two solid, uniform disks mounted on independent, frictionless vertical axles. Disk 1 has mass \(M\) and radius \(R\). Disk 2 has mass \(2M\) and radius \(2R\). An identical constant tangential force of magnitude \(F\) is applied to the outer edge of each disk. If \(\alpha_1\) is the magnitude of the angular acceleration of Disk 1 and \(\alpha_2\) is the magnitude of the angular acceleration of Disk 2, what is the ratio \(\dfrac{\alpha_2}{\alpha_1}\)?