Pipe Diameter and End Correction of a Resonant Standing Wave

Abstract

To investigate the relationship between the diameter of a pipe and the end correction of a standing wave created in the pipe, five plastic pipes with different diameters were cut to 0.402 m in length. A speaker emitting a single frequency was held near one end of the pipe and the frequency adjusted until the loudest resonance was heard. It was found that there is a proportional relationship between the diameter (D) and end correction (C), as modeled by the equation C = 0.33 D.