  We discuss a new mechanism of dust acceleration that acts in a turbulent
magnetized medium. The magnetohydrodynamic (MHD) turbulence includes both fluid
motions and magnetic fluctuations. We show that while the fluid motions bring
about grain motions through the drag, the electromagnetic fluctuations, can
accelerate grains through resonant interactions. In this paper we calculate
grain acceleration by gyroresonance in Cold Neutral Medium. We consider both
incompressible and compressible MHD modes. We show that fast modes dominate
grain acceleration. For the parameters chosen, fast modes render supersonic
velocities to grains that may shatter grains and enable efficient absorption of
heavy elements. Since the grains are preferentially accelerated with large
pitch angles, the supersonic grains get aligned with long axes perpendicular to
the magnetic field.
