How Does Distance and Quantity Affect Sound Intensity?

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SUMMARY

The discussion centers on calculating the sound intensity of 100 alarm clocks, each emitting a sound intensity of 60 dB at a distance of 1 meter, when positioned 100 meters away. The relevant equation used is the intensity ratio formula, I1/I2 = R2^2/R1^2. The conclusion drawn is that the intensity of the sound from 100 clocks at 100 meters is 40 dB, as the increase in intensity due to the number of clocks is factored in, resulting in a total intensity increase of 100 times.

PREREQUISITES
  • Understanding of sound intensity levels in decibels (dB)
  • Familiarity with the inverse square law for sound intensity
  • Basic knowledge of logarithmic calculations
  • Ability to manipulate ratios and proportions in equations
NEXT STEPS
  • Study the inverse square law in acoustics
  • Learn about sound intensity calculations in different environments
  • Explore the effects of distance on sound propagation
  • Investigate the relationship between sound intensity and the number of sound sources
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Students in physics or engineering, acoustics professionals, and anyone interested in understanding sound intensity and its dependence on distance and quantity of sources.

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Homework Statement



An alarm clock makes a sound that has intensity 60 dB at a distance
of 1 m. What is the sound intensity of 100 such clocks which are all
100m away?
(A) 0.6 dB (B) 40 dB (C) 50 dB (D) 60 dB


Homework Equations



I1/I2 = R2^2/R1^2

The Attempt at a Solution



If it works to make a ratio...

60 dB = 10^-6 W/m^2

10^-6/X = 100^2/1^2

How do the 100 clocks factor into this equation?

Thank you!
 
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I think the 100 clocks just increases the intensity by 100x.
 
Last edited:

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