This paper summarizes the results of rather extensive tests on the attenuation of shear waves in Teflon ®. The method used is described and the results of the measurements are presented. This technique is an extremely simple one requiring a minimum apparatus, and, in addition to yielding some fundamental data, makes a very nice student experiment in a teaching laboratory. The method and apparatus is not limited to Teflon, but can be used with lead or other materials that have a reasonable amount of damping. The method is not suitable for very highQmaterials like aluminum or quartz.