  We derive the balance equation for the Favre averaged angular momentum in
toroidal not necessarily axisymmetric magnetic field equilibria. We find that
the components of angular momentum are given by the covariant poloidal and
toroidal components of ExB and parallel flow velocities and we separately
identify all relevant stress tensors, torques and source terms for each of
these components. Our results feature the Favre stress generalisations of
previously found Reynolds stresses like the diamagnetic or parallel ExB stress,
as well as the density gradient drive term. Further, we identify the magnetic
shear as a source of poloidal ExB angular momentum and discuss the mirror and
the Lorentz force. Here, we find that the geodesic transfer term, the
Stringer-Winsor spin-up term and the ion-orbit loss term are all part of the
Lorentz force and are in fact one and the same term.
  Discussing the relation to angular velocity we build the inertia tensor with
the help of the first fundamental form of a flux-surface. In turn, the inertia
tensor is used to construct a flux-surface averaged rotational energy for \ExB
surface flows of the plasma. The evolution of this rotational energy features a
correction of previous results due to the inertia tensor. In particular, this
correction suggests that density sources on the high-field side contribute much
more to zonal flow energy generation than on the low field side.
