# I... Did I know this_

I... Did I know this?

Originally shared by Tom EigelsbachWaves travelling in opposite directions form a standing wave.

This is how a guitar string vibrates.

More explanation: Physics Tutorial Lesson: Standing Waves High School College Help

#math #mathematics

This is how a guitar string vibrates.

More explanation: Physics Tutorial Lesson: Standing Waves High School College Help

#math #mathematics

Waves travelling in opposite directions form a standing wave. This is how a guitar string vibrates. More explanation: Physics Tutorial Lesson: Standing Waves High School College Help #math #mathematics

Shared with: Public, John Baez

*This post was originally on Google+*

lovethe title). But the idea is that one wave moves from your hand to the edge of the sink, while its reflection moves from the edge of the sink back to your hand, and if you time things right they add up to a standing wave.In a nutshell,

sin(t-x) + sin(t+x) = 2 sin(t) cos(x)

At left we have a sum of two waves moving in opposite directions; at right we have a single standing wave.

It can be easier to see if you have a long bathtub, and you wiggle your hand sending a pulse of short-wavelength waves to the end, and watch what happens as it bounces back and

crosses over itself. It's not always so neat as the image above, but you can get standing waves.