According to hydrodynamical and mode-coupling theories, the angular velocity autocorrelation function decays at long times as 0(t/10–14 sec)–5/2. For rough spheres under the conditions reported here, the quantity 0 is predicted to be 262. The molecular dynamics studies presented here yield a long-time tail of the form 230(t/10–14 sec)–2.38. The disagreement between theory and computer results probably arises from statistical error intrinsic to the computations.