We study the dynamic response of weakly disordered vortex lattice driven by a radial current I in amorphous superconducting films with a Corbino geometry, where vortices rotate around the center of the sample by a frustrated Lorentz force inversely proportional to the radius. With increasing I, the vortices near the center are first depinned, indicative of the plastic-flow-like rotation, which gradually approaches a laminar-like flow at large I. We observe a mode-locking resonance, which suggests the formation of rotating vortex rings composed of triangular-lattice arrays. The field evolution of the resonance shows the presence of the lattice rotation of the driven vortex rings with respect to the flow direction.