We investigate the orientational behaviour of a homeotropically aligned nem
atic liquid crystal subjected to an oscillatory plane Poiseuille flow produ
ced by an alternating pressure gradient. For small pressure amplitudes the
director oscillates within the flow plane around the initial homeotropic po
sition, whereas for higher amplitudes a spatially homogeneous transition to
out-of-plane director motion was observed for the first time. The orientat
ional transition was found to be supercritical and the measured frequency d
ependence of the critical pressure amplitude in the range between 2 and 20
Hz was in quantitative agreement with a recent theory.