During some gravitational lensing events, the lens transits the disk o
f the star. This event causes a shift in the apparent radial velocity
of the star proportional to the star's rotation speed. The magnificati
on of such an event is different from that expected for a point source
. By measuring both effects, one can determine the rotation parameter
upsilon sin i. The method is especially useful for K-giant stars becau
se these stars have turbulent velocities that are typically large comp
ared with their rotation speed. By making a series of radial velocity
measurements, one can typically determine upsilon sin i to the same ac
curacy as the individual radial velocity measurements. There are appro
ximately 10 microlensing transit events per year that would be suitabl
e for these measurements.