Standing Waves

If we wiggle the end of a string at the right frequency, the waves along the string reinforce the waves being reflected and a large-amplitude standing wave is produced.

This is another example of resonance.

For standing waves on a string, the ends are fixed so those are both nodes. To get standing waves, we must fit a whole number of "loops" between those ends. This means

Length = (whole number) x (half wavelength)

 

Of course, longitudinal waves can also support standing waves. It is easier to think of standing waves in a long, straight tube or pipe. But standing waves are set up in every horn or woodwind instrument when a sound is played.

Superposition

Summary

Back to " Ch 11, Waves " Page

(C) 2003, Doug Davis; all rights reserved