Inverse Square Law HELP PLEASE

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SUMMARY

The discussion centers on applying the inverse square law to sound intensity and sound pressure measurements. When sound intensity is measured at a distance R, at distance 3R, the intensity decreases to 1/9 of the original value, resulting in a difference of -18 dB. Similarly, for sound pressure measured at distance R, at distance 2R, the pressure decreases to 1/2 of the original value, yielding a difference of -6 dB. The inverse square law is crucial for understanding how sound propagates in free, unbounded space.

PREREQUISITES
  • Understanding of the inverse square law in physics
  • Basic knowledge of sound intensity and sound pressure
  • Familiarity with decibel calculations
  • Concept of free, unbounded space in acoustics
NEXT STEPS
  • Study the mathematical derivation of the inverse square law
  • Learn about sound intensity level calculations in decibels
  • Explore the effects of distance on sound propagation
  • Research applications of the inverse square law in real-world scenarios
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Students studying physics, acoustics professionals, and anyone interested in understanding sound propagation and intensity measurements.

RichardGib
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Homework Statement



If I measure a sound intensity of 1.0 at distance R from its source, what intensity would I measure at distance 3R in a free, unbounded space? What is the difference in decibels?

&

If I measure a sound pressure of 1.0 at distance R from its source, what pressure would I measure at distance 2R in a free, unbounded space? What is the difference in decibels?

Homework Equations



N/A

The Attempt at a Solution


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I am stuck on this. i thought the answer to the first question could be a difference of -18db? Really stuck here...

Thankyou!
 
Last edited:
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The inverse square law simply means that the value of the physical observable involved is inversely proportional to the square of the distance from the source. That is to say, for instance if the distance is doubled, then the value falls to a quarter (half squared).
 
Hello Richard, welcome to PF :)

Please check the PF guidelines (especially #4); the way you post now actually prevents us from helping you further.

And you can read up on the subject a little here
 
BvU said:
Hello Richard, welcome to PF :)

Please check the PF guidelines (especially #4); the way you post now actually prevents us from helping you further.

And you can read up on the subject a little here
Thankyou :)
 

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