In this paper, we analyze the dynamics of a nonmagnetic particle (magnetic hole) suspended in a carrier ferrofluid. The rotational dynamics of the particle is strongly influenced by the presence of a rotating magnetic field. As a result, we have found that the hole rotates in the opposite direction to that of the field, Our analysis is valid at low and moderate frequencies of the field rotation and may be compared to recent experiments obtaining quite a good agreement in the frequency range we are considering, in which a linear relationship between both the rotation frequency of the field and the angular velocity of the particle is found. In addition, the dependence of the frequency of the particle on the magnetic field strength is also compared to the experiments.