Intensity of sound wave when given sound intensity level.

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SUMMARY

The intensity of a sound wave with a sound intensity level of 34 dB is calculated using the formula I = Io x 10^(B/10 dB), where Io is 1.0 x 10^-12 W/m^2. The correct calculation yields I = 2.0 x 10^-9 W/m^2. A common error in this calculation is miscalculating the exponent, specifically 10^3.4, which can lead to incorrect results. Ensuring precision in calculator inputs is crucial for accurate outcomes in sound intensity calculations.

PREREQUISITES
  • Understanding of sound intensity levels and decibels
  • Familiarity with logarithmic equations
  • Basic proficiency in using scientific calculators
  • Knowledge of the reference intensity level, Io = 1.0 x 10^-12 W/m^2
NEXT STEPS
  • Learn about sound intensity and its measurement in decibels
  • Study logarithmic functions and their applications in physics
  • Explore common errors in scientific calculations and how to avoid them
  • Investigate the relationship between sound intensity and distance from the source
USEFUL FOR

Students studying acoustics, physics enthusiasts, and anyone involved in sound engineering or audio technology.

Ericv_91
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Homework Statement



What is the intensity of sound wave with sound intensity level 34 dB?


Homework Equations



B = (10dB) log (I/Io) B = sound intensity level, I = intensity, Io= 1.0x10^-12 W/m^2



The Attempt at a Solution



I figured it would be simply a matter of rearranging the equation above to solve for I and entering all the values giving:

I = Io x 10^(B/10 dB)
I = (1.0x10^-12) x 10^(34/10)
I = 2.0x10^-9 W/m^2

However the assignment tells me that I am wrong. Am I missing something very very basic? Am I using the wrong equation all together? My textbook won't tell me, so I've turned to Physics Forums. :rolleyes:
 
Physics news on Phys.org
Recalculate 10^3.4.

ehild
 
My calculator decided to cut off a 5 after the 2. *sigh*. Thanks.
 

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