|Jan2-13, 06:15 PM||#1|
I am working on my notes dealing with standing waves and I was wondering would a graph of the equaion y(x,t)= 2Acos(ωt)sin(kx) just a regular wave? Also I was wondering why are standing waves called standing waves. Im sorry if this is the wrong forum.
|Jan2-13, 09:09 PM||#2|
I said "kind of" above, because standing waves only appear to be standing because of the wave dynmaics. That is, what you have is one wave traveling to the right while another wave is simultaneously traveling to the left. The end result is a superposition or interference pattern that sets up apparent stationary oscillations which represent certain harmonics of a fundamental frequency depending on the boundary conditions of the system. Those being the length of, say, a rope that two people are shaking at either end.
As far as your equation above, that looks like a traveling wave equation to me, a standing wave equation specifies one wave traveling in each direction. However, I haven't double checked that.
|Jan3-13, 01:31 AM||#3|
If you define "wave" as a function that satisfies the wave equation, then your expression of the standing wave is considered "a wave".
If you define "wave" as a function that carries the real power, then your expression is not a wave. No power is transported from one place to another.
It is worth noticing that standing wave also forms if the power carried by the forward travelling wave is not equal to the power carried by the backward travelling wave.
Personally, I think "wave" is used loosely here.
|Similar Threads for: standing waves.|
|What is the difference between standing waves and transverse waves?||Classical Physics||6|
|[Waves] Standing waves problem (possibly...)||Introductory Physics Homework||2|
|matter waves as standing waves||Quantum Physics||0|
|Matter Waves As Standing Waves||Quantum Physics||2|
|Waves: Standing Waves, Superposition, etc.||Introductory Physics Homework||4|