How Loud Is a Whisper at 3.5 Meters?

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SUMMARY

The sound intensity of a whisper at a distance of 3.5 meters is calculated to be 6.50 x 10-13 W/m2. Using the formula for sound intensity level, the corresponding sound intensity level is determined to be -1.87 dB, based on the reference intensity of 10-12 W/m2. It is important to note that the sound level of 20 dB is typically measured at a specific distance from the source, which is not specified in this discussion.

PREREQUISITES
  • Understanding of sound intensity and decibel levels
  • Familiarity with the formula for sound intensity: I = Power/[(4π)(distance)2]
  • Knowledge of logarithmic calculations for sound levels: dB = 10 log (I/I0)
  • Basic physics concepts related to sound propagation
NEXT STEPS
  • Research the relationship between distance and sound intensity in acoustics
  • Learn about the reference intensity levels used in sound measurements
  • Explore the effects of environmental factors on sound propagation
  • Investigate different sound measurement tools and their applications
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Students studying physics, acoustics researchers, audio engineers, and anyone interested in understanding sound intensity and its measurement in various environments.

kristibella
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Homework Statement


A. What is the sound intensity of a whisper at a distance of 3.5 m, in W/m2?
I know that a whisper is approximately 20 dB and P = 10-10 W/m2.

B. What is the corresponding sound intensity level in dB?

Homework Equations


I = Power/[(4pi)(3.5m)2)
dB = 10 log (I/Io).

The Attempt at a Solution


I = 6.50*10-13

dB = -1.87 (I used 10-12 W/m2 for Io)
 
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kristibella said:
I know that a whisper is approximately 20 dB and P = 10-10 W/m2.

dB level would depend on how far away you are. You know it's 20 dB at what distance from the whisperer?
 

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