Sound travelling without any disturbances?

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Discussion Overview

The discussion revolves around the transmission of sound waves in the presence of other ambient sounds, specifically questioning how voices can be transmitted without being disturbed by overlapping sound waves. The scope includes theoretical considerations of sound wave behavior, interference, and the principles of superposition.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant questions how sound waves can travel without disturbance from other sounds, suggesting that perpendicular waves should interfere with each other.
  • Another participant clarifies that while sound waves can interfere, the effect at typical amplitudes is minimal and often negligible.
  • A participant mentions that the principle of superposition applies to sound waves, indicating that waves crossing perpendicularly do not significantly affect each other.
  • Some participants discuss the linearity of sound wave equations, noting that this linearity is crucial for understanding sound transmission in normal conditions.
  • There is mention of the anthropogenic principle, suggesting that if sound waves behaved nonlinearly, communication methods would differ.
  • Several participants engage in a back-and-forth regarding the relevance of linearity and nonlinearity in the context of the original question about sound disturbance.
  • One participant provides links to external resources illustrating interactions of nonlinear waves, emphasizing the complexity that arises under different conditions.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of linearity and nonlinearity in sound wave interactions. While some agree on the principle of superposition, others contest the implications of wave behavior when discussing the original question. The discussion remains unresolved regarding the significance of these concepts in the context of sound transmission.

Contextual Notes

There are unresolved assumptions regarding the conditions under which sound waves interact, particularly concerning amplitude and frequency. The discussion also reflects varying levels of understanding among participants regarding the implications of linear and nonlinear wave behavior.

adjacent
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As we all know, we are always surrounded by a "sea" of sound(Of cars,air,farts etc :wink:. Lol)
How can our voice be transmitted by the air without getting disturbed by other sounds?

Sound is a longitudinal wave. So imagine another wave traveling perpendicular to our wave. Then at the point of intersection, there will be movement of air in both forward-backward and right-left. So the sound wave should be disturbed here. Am I wrong?
 
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adjacent said:
As we all know, we are always surrounded by a "sea" of sound(Of cars,air,farts etc :wink:. Lol)
How can our voice be transmitted by the air without getting disturbed by other sounds?

Sound is a longitudinal wave. So imagine another wave traveling perpendicular to our wave. Then at the point of intersection, there will be movement of air in both forward-backward and right-left. So the sound wave should be disturbed here. Am I wrong?

It's not clear by what you mean when you ask, "How can our voice be transmitted by the air without getting disturbed by other sounds?"

Our voices can be drowned out by louder noises. (Ever try to carry on a conversation behind a roaring jet engine?)

If you are asking how we can 'distinguish' a voice from other noises in the background, that's something the brain does for us.
 
I don't think you understood what I meant. See this image of two sound waves traveling in perpendicular directions to each other
attachment.php?attachmentid=70737&stc=1&d=1403273751.png


What will happen in the circled area?
 

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There's nothing special there. It is still a superposition of both waves, even when they are perpendicular to each other.

Have you never seen waves in ripple tanks before?

http://www.555electronics.com.au/scanripple2.jpg

Look carefully. As some point, the wave fronts from each of the two sources are moving perpendicular to each other.

Zz.
 
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Sound waves, just like waves in ripple tanks and waves in strings, do in fact interfere with one another. However, at commonly encountered amplitudes the effect is very very tiny and can be ignored.
 
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I see. Thanks everyone!
 
ZapperZ said:
There's nothing special there. It is still a superposition of both waves, even when they are perpendicular to each other.

The fact that the equations describing the behavior of sound waves in air, over the range of amplitudes and frequencies that humans can hear without being damaged by them, are linear (in most situations) is "something special". But using linearized approximate models in physics is so common that it's easy to forget how "special" they are.

Also there is probably an anthropogenic principle here - if "sound waves" behaved in a nonlinear way so they were no use for communication, humans and other animals would be using something different to communicate!
 
AlephZero said:
The fact that the equations describing the behavior of sound waves in air, over the range of amplitudes and frequencies that humans can hear without being damaged by them, are linear (in most situations) is "something special". But using linearized approximate models in physics is so common that it's easy to forget how "special" they are.

Also there is probably an anthropogenic principle here - if "sound waves" behaved in a nonlinear way so they were no use for communication, humans and other animals would be using something different to communicate!

How is this relevant to the topic of this thread?

The "specialness", or lack of it, that I referred to was not in the range of frequencies, but rather in the DIRECTION of propagation!

Zz.
 
I think the relevance is that the (non)linearity ("specialness") of the waves is a function of both amplitude and wavelength (i.e., frequency).
 
  • #10
olivermsun said:
I think the relevance is that the (non)linearity ("specialness") of the waves is a function of both amplitude and wavelength (i.e., frequency).

Read the OP. Please point to me why this is relevant.

Zz.
 
  • #11
ZapperZ said:
Read the OP. Please point to me why this is relevant.

The OP asked why voices aren't disturbed by other ambient sounds. One good answer is that sound waves are fairly linear at the amplitudes and frequencies that we typically encounter. The corollary is that waves which cross perpendicularly won't affect each other even though it seems like they should.

If the nonlinearity is significant, plane acoustic waves crossing perpendicularly does seem to be an interesting special case.

BTW, why did you assume that I didn't read the OP?
 
  • #12
olivermsun said:
The OP asked why voices aren't disturbed by other ambient sounds. One good answer is that sound waves are fairly linear at the amplitudes and frequencies that we typically encounter. The corollary is that waves which cross perpendicularly won't affect each other even though it seems like they should.

If the nonlinearity is significant, plane acoustic waves crossing perpendicularly does seem to be an interesting special case.

BTW, why did you assume that I didn't read the OP?

Because it appears as if you didn't read the explanation that was given in Msg. #3 that clarified what the OP was looking for! He clearly wanted to know what happened when two perpendicular wavefronts meet!

My reply was that there's NOTHING SPECIAL about this when compared to other angles, since the principle of superposition works the same way. I even showed a picture where superposition/interference occurred at many different angles.

Somehow, my use of the term "special" got picked up and now we're talking about linear regime of the frequency and sound range of human ears, which are NOT what I was referring to! I know there is a common tendency of PF threads going off on a tangent, but this is a bit silly!

Zz.
 
  • #13
olivermsun said:
One good answer is that sound waves are fairly linear at the amplitudes and frequencies that we typically encounter.

Indeed. See the animations at the bottom of this page http://lie.math.brocku.ca/~sanco/solitons/gkdv_interactions.php for the sort of things that can happen when two strongly nonlinear waves interact with each other.

The green plots are the two waves without interaction (note, for the nonlinear waves the velocity is amplitude dependent, not constant) and the red plot shows the result of the interaction. This can even generate a "tail" moving in the opposite direction to the incoming waves.
 
  • #14
ZapperZ said:
Because it appears as if you didn't read the explanation that was given in Msg. #3 that clarified what the OP was looking for! He clearly wanted to know what happened when two perpendicular wavefronts meet!

My reply was that there's NOTHING SPECIAL about this when compared to other angles, since the principle of superposition works the same way. I even showed a picture where superposition/interference occurred at many different angles.
By definition, the principle of superposition works for linear waves. For nonlinear waves the principle no longer works.

Somehow, my use of the term "special" got picked up and now we're talking about linear regime of the frequency and sound range of human ears, which are NOT what I was referring to!
Because of what I said above, it's crucial to understand that the waves are, indeed, in the linear regime.

If the waves are not in the linear regime, then much more interesting things can happen (as AlephZero explains in the post above).
 
  • #15
olivermsun said:
By definition, the principle of superposition works for linear waves. For nonlinear waves the principle no longer works.


Because of what I said above, it's crucial to understand that the waves are, indeed, in the linear regime.

If the waves are not in the linear regime, then much more interesting things can happen (as AlephZero explains in the post above).

I give up. Somehow the OP's elementary question and his level of understanding never entered into your consideration when answering such questions.

Zz.
 

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