Sound Waves, Resonance, and intensity

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Discussion Overview

The discussion revolves around the perception of loudness when two flutists play together at the same intensity compared to one playing alone. It explores concepts related to sound waves, resonance, and intensity, focusing on the logarithmic nature of loudness perception in humans.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant questions whether the sound produced by two flutists playing together is twice as loud as one playing alone, noting the logarithmic nature of loudness perception.
  • Another participant asserts that the sound will be 1 dB louder when two flutists play together, emphasizing that it will not be perceived as twice as loud.
  • A third participant provides the equation for sound level, suggesting that varying intensities can be plugged into the formula to analyze the situation further.
  • A later reply reiterates that a doubling in intensity corresponds to an increase of about 3 dB, reinforcing the earlier points made about loudness perception.

Areas of Agreement / Disagreement

Participants generally agree that the sound produced by two flutists will not be perceived as twice as loud, but there are varying interpretations regarding the exact increase in decibels, with some suggesting 1 dB and others referencing the 3 dB rule for doubling intensity.

Contextual Notes

The discussion includes assumptions about the logarithmic scale of loudness and the specific reference intensity used in calculations, which may not be universally defined or agreed upon.

babybeth09
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"If two flutists play ther instuments together at the same intensity, is the sound twice as loud as that of either flutist playing alone at the intensity? Why or why not?"

I know that the answer has something to do with the sensation of loudness being logarithmic in the human ear, but I guess I don't really understand the concept.

Any help is greatly, greatly, greatly appreciated! :smile:
 
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The sound will be 1dB louder, I think (using the original as a reference). Either way, it will not be twice as loud. You already gave the correct answer.
 
Last edited:
Thanks!
 
Well, the equation for the sound level is:

[tex]\beta=10log[\frac{I}{I_o}][/tex]

Where [tex]I_o=10^-^1^2\frac{W}{m^2}[/tex]

So you can just plug in values for varying intensities and see.
 
Cool - thank you guys. It's good to have some help because my teacher just gives us the assignment without doing much lecturing or anything, then won't really help us at all, so you guys are life savers!
 
dst said:
The sound will be 1dB louder, I think (using the original as a reference). Either way, it will not be twice as loud. You already gave the correct answer.
A doubling in intensity is about 3 dB as a rule of thumb.

Claude.
 

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