We compute the maximum mass of moderately rotating strange stars as a funct
ion of the strange quark mass, of the QCD coupling constant, alpha(c), and
of the bag constant (vacuum energy density), B, in the MIT bag model of qua
rk matter with lowest order quark-gluon interactions. For a fixed value of
B, the maximum stellar mass depends only weakly on alpha(c), and is indepen
dent of this coupling in the limit of massless quarks. However, if it is th
e value of the chemical potential of quark matter at zero pressure which is
held constant, for example at the value corresponding to the stability lim
it of nucleons against conversion to quark matter, the maximum mass of the
strange star is higher by up to 25% for alpha(c) = 0.6, than for non-intera
cting quarks, and this may be relevant in the discussion of kHz QPO sources
. The maximum mass of a non-rotating strange star could be sufficiently hig
h to allow an orbital frequency as low as 1.0 kHz in the marginally stable
orbit. However, for all alpha(c) < 0.6, the stellar mass cannot exceed 2.6
M-circle dot, at any rotational period > 1.6 ms.