The shear free solid-body rotation of a ferrofluid in a magnetic field expe
riences a damping due to internal rotational friction. A device based on th
e principle of a torsional pendulum is presented. It allows us to perform d
irect and precise measurements of the field dependence of the genuine rotat
ional viscosity without a disturbing shear flow. Experimental results for a
moderately concentrated ferrofluid compare reasonably well with theoretica
l models for monodisperse ferrofluids of noninteracting rigid dipoles.