Six Decibels per Doubling
by Stephen Jaeger
September 10, 1998
It was a crazy summer. I was very busy at work, I
took a class at Stanford and I got married...all in one summer!
Two months ago we finished up our wind-off calibration
of the new 40- by 80-Foot Wind Tunnel test section. (Wind-off means we
didn't turn the wind tunnel on. We will do the wind-on calibration later
this month.) For the wind-off calibration, we were interested in how much
of an echo we were going to get from the walls of the wind tunnel.
During the first month we fired off pistols and cannons
and other noise sources to measure the reflections as I discussed before.
The remaining part of the test was an assessment of the decay properties
of the test section.
Imagine you are out in the middle of a field somewhere.
In front of you is a loudspeaker with your favorite music playing. As
you move away from the speaker the music will get quieter and quieter
until you can't hear it at all. In fact, you may notice that the loudness
of the music will decay rapidly as you first start to move away. However,
when you are further away, you will have to walk a much greater distance
to notice anymore change. Try it sometime.
This phenomenon is well known in science and applies
to other "point sources" such as light and radio waves. Sometimes acousticians
call it the "6 dB per doubling law." It says that the sound pressure will
decrease by 6 decibels each time you double your distance from the speaker.
So if the speaker is screaming at 100 dB at 10 feet away, it will still
be at 94 decibels from 20 feet away. (A decibel (dB) is a measure of sound
pressure. A whisper is about 50 dB, someone talking is about 70 dB, a
jet plane might be 100 dB, and a rock band might get to 120 dB near the
stage.)
The above is not true in a room, however. Because
of all the reflections from the walls the noise can still be loud even
from far away. This is why a basketball game is so much louder inside
an auditorium than it is on an outside court. For our wind tunnel, we
want the noise environment to be the way it would on the outside. One
way to test this is to place a noise source at one end of the tunnel and
position a microphone at different distances from the source and determine
if the sound does indeed follow the "6 dB per doubling law." Of course
it won't because we're in a big room, but we can get close to it if we
designed the room correctly.
We used three noise sources to test the decay:
1) An 18-inch woofer in a speaker cabinet. The woofer
provides low frequency noise. |
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2) The dodecahedron. The dodecahedron is a 12-sided
ball with twelve 8-inch speakers mounted in each face. The dodecahedron
is supposed to radiate mid-range frequency sound evenly in all directions. |
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3) The "Screaming Ted." The Screaming Ted Nugent,
or Screaming Ted (named after a loud heavy metal guitarist from another
era), produces ultrasonic white noise. It sounds like a high pitched
hiss. Most of the sound generated by the Screaming Ted can't even
be heard by humans, but dogs can probably hear most of it! |
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With each of these noise sources we measured the
decay of the noise with distance at different frequencies. We are still
analyzing the data but it seems that we have a pretty good anechoic wind
tunnel. This is a good thing because it cost you $25 million.
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