  We show that, under an appropriate out-of-plane static magnetic field,
nuclear spins in a thin specimen on a surface acoustic wave (SAW) cavity can be
resonantly excited and detected through spin-rotation coupling. Since such a
SAW cavity can have the quality factor as high as $10^{4}$ and the mode volume
as small as $10^{-2}$ mm$^{3}$ the signal-to-noise ratio in detecting the
resonance is estimated to be quite high. We argue that detecting nuclear spin
resonance of a single flake of an atomically-thin layer of two-dimensional
semiconductor, which has so far been beyond hope with the conventional
inductive method, can be a realistic target with the proposed scheme.
