Three identical uniform solid disks of mass \(M\) and radius \(R\) rotate freely about frictionless vertical axes through their centers with the same initial angular velocity \(\omega_0\). Three identical small lumps of clay, each of mass \(m\), are dropped vertically from rest just above the disks and stick to the surfaces at different radial distances from the rotation axes.

Turntable	Distance from axle of clay landing point
1	\(r_1 = \dfrac{1}{4}R\)
2	\(r_2 = \dfrac{1}{2}R\)
3	\(r_3 = \dfrac{3}{4}R\)

Which of the following correctly ranks the magnitudes of the final angular velocities of the three turntables, \(\omega_1\), \(\omega_2\), and \(\omega_3\)?