An experimental study of the fluid pumping effect of a clamped-free bar driven at its first resonance frequency is presented. A flexible tube is attached to the bar undergoing oscillatory excitation. The centrifugal force created by the vibration will generate a pressure gradient causing steady, uni-directional fluid flow. This process is extremely attractive for the self-pumping of heat-transport liquids through the heat exchangers in a torsionally resonant toroidal thermoacoustic refrigerator. In that application, a single motor can be used to provide the resonant excitation of the acoustic standing wave within the thermoacoustic refrigerator and eliminates the requirement for two additional motors to pump the hot and cold heat-transport fluids. Measurements are found to agree with simple theoretical predictions.