  In this paper, a developed Hartree-Fock semiclassical approximation is used
to calculate the temperature and interaction dependence of the moment of
inertia of a rotating condensate Boson gas. A fully classical and quantum
mechanical treatment for the moment of inertia are given in terms of the
normalized temperature. We found that the moment of inertia is considerably
affected by the interaction. The present analysis, shows that the superfluid
effects in the moment of inertia of a condensate Boson gas can be observed at
temperatures $T > .25 T_0 $ and not dramatically smaller than $T_0$.
