  The characteristic profile and magnitude are predicted in theory for the
neoclassical toroidal viscosity (NTV) torque induced by plasma response to the
resonant magnetic perturbation (RMP) in a tokamak with an edge pedestal. For a
low-$\beta$ equilibrium, the NTV torque is dominated by the toroidal component
with the same dominant toroidal mode number of RMP. The NTV torque profile is
found to be localized, whose peak location is determined by profiles of both
the equilibrium temperature (pressure) and the plasma response. In general, the
peak of NTV torque profile is found to track the pedestal position. The
magnitude of NTV torque strongly depends on the $\beta$ value of pedestal,
which suggests a more significant role of NTV torque in higher plasma $\beta$
regimes. For a fixed plasma $\beta$, decreasing density hence increasing
temperature can also enhance the amplitude of NTV torque due to the reduced
collisionality in the $1/\nu$ regime. Based on those findings, we identify the
tokamak operation regimes where the significance of NTV torque in edge pedestal
induced by RMP can approach those from other momentum sources such as the
neutral beam injections.
