  We derive the most general effective low-energy potential to order O(1/m) for
slow Dirac fermions with mass m, coupled to gravitational, chameleon and
torsion fields in the Einstein-Cartan gravity. The obtained results can be
applied to the experimental analysis of gravitational, chameleon and torsion
interactions in terrestrial laboratories. We discuss the use of rotating
coordinate systems, caused by rotations of devices, for measurements of the
torsion vector and tensor components, caused by minimal torsion--fermion
couplings (Ivanov and Wellenzohn, Phys. Rev. D92, 065006 (2015)). Using the
most general form of a metric tensor of curved spacetimes in rotating
coordinate systems, proposed by Obukhov, Silenko, and Teryaev (Phys. Rev. D84,
024025 (2011)), we extend this metric by the inclusion of the chameleon field
and calculate the set of vierbein fields, in terms of which Dirac fermions
couple to torsion vector and tensor components through minimal torsion-fermion
couplings. For such a set of vierbein fields we discuss a part of the effective
low-energy potential for slow Dirac fermions, coupled to gravitational,
chameleon and torsion fields to order O(1) in the large fermion mass expansion.
