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-----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-Wmegaphone, how far
would you have to be so that it is barely audible (0 dB)?level would
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
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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_______________________________________________
Forum for Physics Educators
Phys-l@phys-l.org
http://www.phys-l.org/mailman/listinfo/phys-l