We present results from pulsed-power driven differentially rotating plasma experiments designed to simulate physics relevant to astrophysical disks and jets. In these experiments, angular momentum is injected by the ram pressure of the ablation flows from a wire array Z pinch. In contrast to previous liquid metal and plasma experiments, rotation is not driven by boundary forces. Axial pressure gradients launch a rotating plasma jet upwards, which is confined by a combination of ram, thermal, and magnetic pressure of a surrounding plasma halo. The jet has subsonic rotation, with a maximum rotation velocity 23 ± 3 km/s. The rotational velocity profile is quasi-Keplerian with a positive Rayleigh discriminant κ 2 ∝ r −2.8±0.8 rad 2 /s 2 . The plasma completes 0.5 − 2 full rotations in the experimental time frame (∼ 150 ns).