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Natural Science Forum / Physics / General Physics / March 2007



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Highest Acoustic Atmospheric Frequency?

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Radium - 31 Mar 2007 05:25 GMT
Hello:

What is the highest-frequency of ultrasound that can propagate through
air on earth's atmosphere?

Thanks in advance,

Radium
Sam Wormley - 31 Mar 2007 07:25 GMT
> What is the highest-frequency of ultrasound that can propagate through
> air on earth's atmosphere?

  What makes you think there is a limit?
Radium - 31 Mar 2007 18:29 GMT
>    What makes you think there is a limit?

Huh? There is no limit?

So a ultrasonic sound wave with a frequency of 10-to-the-
power-1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
cycles [THATS A *LOT* OF CYCLES] every 10-to-the-power-NEGATIVE
-1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
of a second can travel through air on Earth's
atmosphere???????!!!!!!!!!!!!?!?!?!?!?!?!?! If not, then what stopping
it from???????!!!!!!?!?!?!?!?!?!?!?!?!

You said there is no limit!!

Sorry for my loudness, I just extremely frustrated over a question
that I can't answer. Its like trying to solve an impossible math
problem.

Please don't be offended.

10^-1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
second = 10-to-the-power-
NEGATIVE-1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
of a second = AN EXTREMELY SHORT TIME

10^1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
cycles = 10-to-the-
power-1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
cycles = AN EXTREMELY LARGE AMOUNT OF CYCLES
Sam Wormley - 31 Mar 2007 19:27 GMT
>>    What makes you think there is a limit?
>
> Huh? There is no limit?

  There are practical limits such as sound generation, attenuation, etc.
  But as long as the sound wavelength is >> than the size of the medium
  constituents of it is propagating through...

  http://www.ndt-ed.org/EducationResources/CommunityCollege/Ultrasonics/cc_ut_index.htm
  http://scienceworld.wolfram.com/physics/topics/Acoustics.html
The Ghost In The Machine - 31 Mar 2007 19:45 GMT
In sci.physics, Sam Wormley
<swormley1@mchsi.com>
wrote
on Sat, 31 Mar 2007 18:27:55 GMT
<LKxPh.19946$oV.16203@attbi_s21>:

>>>    What makes you think there is a limit?
>>
[quoted text clipped - 6 lines]
>    http://www.ndt-ed.org/EducationResources/CommunityCollege/Ultrasonics/cc_ut_index.htm
>    http://scienceworld.wolfram.com/physics/topics/Acoustics.html

This would make for a practical limit of about 10^-10 m (the size of an
atom).  Since sound speed is about 331.4 m/s at 0 degrees Celsius, the
maximum frequency would therefore be on the order of 3.314 teraHertz.

I'd have to look regarding intermolecular distance, which would give
another, lower, limit.

Signature

#191, ewill3@earthlink.net
Useless C++ Programming Idea #10239993:
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Sam Wormley - 31 Mar 2007 20:04 GMT
> In sci.physics, Sam Wormley
> <swormley1@mchsi.com>
[quoted text clipped - 18 lines]
> I'd have to look regarding intermolecular distance, which would give
> another, lower, limit.

  About a factor of a thousand lower.
  :-)
The Ghost In The Machine - 31 Mar 2007 22:28 GMT
In sci.physics, Sam Wormley
<swormley1@mchsi.com>
wrote
on Sat, 31 Mar 2007 19:04:37 GMT
<9hyPh.20046$oV.5644@attbi_s21>:
>> In sci.physics, Sam Wormley
>> <swormley1@mchsi.com>
[quoted text clipped - 21 lines]
>    About a factor of a thousand lower.
>    :-)

Wouldn't surprise me.  A cubic meter of air is about 41 moles.  That
same cubic meter of air, liquefied, would occupy about 1.2 liters
or 1.2 * 10^-3 m^3.  (Maybe not quite that, as I'm assuming the same
density as water.)  This suggests that the molecule-to-molecule distance
might be about 10 molecules in width, for a maximum frequency of 331 GHz.

Give or take.

Of course this shouldn't be that difficult to measure directly.
Computers routinely generate signals of more than 3 GHz (if one has
a modern processor) and the overtones shouldn't be too hard to filter
out and drive something along the lines of a speaker coil.

So color me slightly curious. :-)

Signature

#191, ewill3@earthlink.net
"Your mother was a hamster and your father smelt of
elderberries!" - Monty Python and the Holy Grail

--
Posted via a free Usenet account from http://www.teranews.com

Sam Wormley - 31 Mar 2007 19:38 GMT
>>    What makes you think there is a limit?
>
> Huh? There is no limit?

  What is the highest-frequency sound that can exist in Earth'satmosphere?
    http://www.lns.cornell.edu/spr/2006-11/msg0075905.html

  Igor wrote:
    The mean free path in air at sea level is about 0.1 micron[1]. Let's
    take the speed of sound to be roughly 300 m/s. Then the upper limit on
    sustainable sound frequencies is

    f_max = (300 m/s) / (10^-7 m) = 3*10^9 Hz = 3 GHz.
Radium - 31 Mar 2007 21:39 GMT
>    Igor wrote:
>      The mean free path in air at sea level is about 0.1 micron[1]. Let's
>      take the speed of sound to be roughly 300 m/s. Then the upper limit on
>      sustainable sound frequencies is
>
>      f_max = (300 m/s) / (10^-7 m) = 3*10^9 Hz = 3 GHz.

Thanks.
nuny@bid.ness - 31 Mar 2007 21:49 GMT
> >    Igor wrote:
> >      The mean free path in air at sea level is about 0.1 micron[1]. Let's
[quoted text clipped - 4 lines]
>
> Thanks.

 Interesting. Sound in say seawater would have a correspondingly
higher limit then. OTOH dissipative effects would show up rather
sooner.

 I'm also reminded of an old SciAm article on generating ultrasound
by sticking a hunk of quartz in a cavity resonator as a transducer;
the mentioned frequency was a couple "kilomegacycles". Now I know why
that quietly died away. ;>)

 Mark L. Fergerson
Radium - 31 Mar 2007 21:46 GMT
>    What is the highest-frequency sound that can exist in Earth'satmosphere?
>      http://www.lns.cornell.edu/spr/2006-11/msg0075905.html
[quoted text clipped - 5 lines]
>
>      f_max = (300 m/s) / (10^-7 m) = 3*10^9 Hz = 3 GHz.

Sorry to bug you with another question.

Is the "10^-7 m" part because the mean free path in air at sea level
is about 0.1 micron?
 
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