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Re: [Phys-L] sound intensity problem



To get an idea of loudspeaker efficiency you can consult the spec sheets at any number of speaker manufacturer websites. Look at Peavey, Tannoy, Klipsch, Bose, Electrovoice, etc. They all publish the specs and give you sound pressure levels at 1 kHz at 1 m on axis with a specified power input. That would be a decent problem for your students.

Thunder is definitely "lensed" because of temperature gradients. Railway and highway noise is, too. At one house I lived in, there was a railroad about 2 km away. Some days you could barely hear the trains coming through. Other days (and nights) it sounded like there were in the back yard because of the refraction of the sound based on which way the thermal gradient was stacked.

Acoustical scattering as well as absorption?

-----Original Message-----
From: Phys-l [mailto:phys-l-bounces@phys-l.org] On Behalf Of John Clement
Sent: Friday, April 05, 2013 2:49 PM
To: Phys-L@Phys-L.org
Subject: Re: [Phys-L] sound intensity problem

It would seem that 1750 miles is unreasonable. If a thunderstorm is that far
away you won't hear it. Indeed if it is only a few miles away you only hear
the boom and not the initial crackle. The sound from a thunderstorm is much
more powerful than a megaphone and it is in the air where objects won't
block the sound. So the attenuation of high frequencies is substantial. You
can get an order of magnitude change in sound level by just the
inefficiencies in the megaphone.

I really doubt the lensing is much of a factor, but backgound noise can be a
factor, especially in a stadium. I would believe a mile of so, but not that large
a figure.

John M. Clement
Houston, TX


The answers from the two Johns are useful, but the bottom line is that
in theory the distance is NOT unreasonable. A way to think about it
is to imagine outer space filled with wind free air (OK--no longer
outer
space....but) and now do the experiment. The key here is the large
ratio between the initial sound intensity and the intensity at the
threshold of hearing. Even at inverse square fall-offs, it still
requires a very large spherical surface to reduce the intensity by
10-12 orders of magnitude.

R.W.Tarara


On 4/5/2013 2:00 PM, Anthony Lapinski wrote:
I was considering this sound problem.. For a 100-W
megaphone, how far
would you have to be so that it is barely audible (0 dB)?

I = P/A

Io = P/4pir2

With Io = 10-12 W/m2, the result is 2821 km = 1750 mi

This seems unreasonably far! I would think that the sound
level would
drop off much closer, as we typically experience. Or am I
missing/miscalculating something?

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--
Richard Tarara
Professor of Physics
Saint Mary's College

free Physics instructional software
www.saintmarys.edu/~rtarara/software.html

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