  A trapped Bose-Einstein condensed atomic gas containing a quantized vortex is
predicted to exhibit precession after a sudden rotation of the confining
potential.
  The equations describing the motion of the condensate are derived and the
effects of superfluidity explicitly pointed out. The dependence of the
precession frequency on the relevant parameters of the problem is discussed.
  The proposed gyroscope is well suited to explore rotational effects at the
level of single quanta of circulation.
