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Physics 2010 HW7: Reverberation Time & Acoustic Spaces - Prof. Scott H. Hawley, Assignments of Physics

Solutions to problem 7 of a physics course, focusing on the concepts of reverberation time, electroacoustically coupled spaces, porous absorbers, and their applications. Students will learn about the implications of reverberation time, the role of electroacoustically coupled spaces, and the physical principles of porous absorbers.

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Pre 2010

Uploaded on 12/12/2009

absentvirtue
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Physics 2010 HW7
1. To what must the decay variations in Everest figure 7-8 be attributed?
a. Any differences must be attribute to the random nature of the noise signal, everything
else was constant.
2. What assumptions are implied when we speak of a reverberation time?
a. When speaking of a reverberation time it can be assumed the decay is measured as the
source is interrupted. The decays at the modal frequencies are decay rates characteristic
of individual modes not of the room as a whole. Long reverberation time implies low
absorbance while short reverberation time implies high absorbance.
3. What is an “electroacoustically coupled” space
a. An electroacoustically coupled space is what is used to describe the overall reverberant
effect when sound picked up from a studio having one reverberation time is reproduced
in a listening room having a different reverb time. The combined reverb time is greater
than either room alone.
4. What does Everest recommend for the reverb time of a recording studio, as compared to the
living room where the music is likely to be enjoyed?
a. The optimum reverb time for a recording studio
is around half a second depending on volume
(refer to Fig 7-15, Everest 153).
b. The optimum reverberation time for a living
room is about .3 seconds (Everest 154 -155)
5. In artificial reverberation devices…
a. What is the single ingredient of every form of
reverberation device?
i. Delays
b. The introduction of what feature adds to the
“lifelike” character?
i. The return of successive echoes in a
space is the ingredient of natural
reverberation.
6. You want to beef up the bass absorption of your foam absorber, to increase its absorption
around 100 Hz. How far from the wall should you
mount it?
a. A common density for acoustical foam is
2 lb/ft2
b. 100Hz=170/(2*d)1/2
c. (170/100)2/2=d
d. 1.445 inches
7. Briefly explain the physical principles by which porous absorbers absorb sound.
a. Sound energy is dissipated as heat in the interstices of the fibers.
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Physics 2010 HW

  1. To what must the decay variations in Everest figure 7-8 be attributed? a. Any differences must be attribute to the random nature of the noise signal, everything else was constant.
  2. What assumptions are implied when we speak of a reverberation time? a. When speaking of a reverberation time it can be assumed the decay is measured as the source is interrupted. The decays at the modal frequencies are decay rates characteristic of individual modes not of the room as a whole. Long reverberation time implies low absorbance while short reverberation time implies high absorbance.
  3. What is an “electroacoustically coupled” space a. An electroacoustically coupled space is what is used to describe the overall reverberant effect when sound picked up from a studio having one reverberation time is reproduced in a listening room having a different reverb time. The combined reverb time is greater than either room alone.
  4. What does Everest recommend for the reverb time of a recording studio, as compared to the living room where the music is likely to be enjoyed? a. The optimum reverb time for a recording studio is around half a second depending on volume (refer to Fig 7-15, Everest 153). b. The optimum reverberation time for a living room is about .3 seconds (Everest 154 -155)
  5. In artificial reverberation devices… a. What is the single ingredient of every form of reverberation device? i. Delays b. The introduction of what feature adds to the “lifelike” character? i. The return of successive echoes in a space is the ingredient of natural reverberation.
  6. You want to beef up the bass absorption of your foam absorber, to increase its absorption around 100 Hz. How far from the wall should you mount it? a. A common density for acoustical foam is 2 lb/ft^2 b. 100Hz=170/(2*d)1/ c. (170/100)^2 /2=d d. 1.445 inches
  7. Briefly explain the physical principles by which porous absorbers absorb sound. a. Sound energy is dissipated as heat in the interstices of the fibers.
  1. You get a bunch of pegboard to make a perforated panel absorber. The perforation percentage is p, the thickness is t and the depth of the air gap is d. You find upon installation that the frequency it’s absorbing is twice what it needs to be. Your friend wants to drill hundreds of new holes to increase the perforation percentage, but you remark that it would be much simpler to…? How would you minimally modify the absorber to a lower frequency by a factor of 2? a. Increase the depth of air space by a factor of 2.
  2. You’ve got some plywood with a surface density of 7 Oz/ft^2 , and you want to make a piece –o- wood panel absorber to absorb frequencies around 85Hz. How deep should you make the airspace? a. 10 Inches (refer to fig 9-21)
  3. Why is a bass trap’s effect greater than its opening area would suggest? a. The zero pressure at the opening constitutes a vacuum that tends to suck sound energy into it from surrounding areas. The bass traps effect is greater than its opening area would suggest because of this vacuum effect (Everest 204- 205).