Sound Intensity Problem of 3 Machines

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SUMMARY

The discussion centers on calculating the combined sound intensity level of three machines producing noise at 76 dB, 82 dB, and 85 dB. The formula used is B = 10 log (I/Io), where I represents the total intensity. The correct approach involves converting the decibel levels to intensity using the formula I = 10^(B/10) and summing these intensities before converting back to decibels. The final intensity level can be calculated by plugging the values into a calculator for the exponents.

PREREQUISITES
  • Understanding of decibel (dB) scale and sound intensity
  • Familiarity with logarithmic functions
  • Basic knowledge of exponentiation
  • Ability to use scientific calculators for calculations
NEXT STEPS
  • Learn how to convert decibel levels to intensity using I = 10^(B/10)
  • Study the properties of logarithms and their applications in sound intensity calculations
  • Explore the concept of sound intensity levels in different environments
  • Investigate the effects of multiple sound sources on overall intensity levels
USEFUL FOR

Students studying acoustics, engineers working with sound systems, and anyone involved in noise level assessments in industrial settings.

dvolpe
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Homework Statement



In a factory, 3 machines produce noise with intensity levels of 76 dB, 82 dB, and 85 dB. With all three running, what is the intensity level?

Homework Equations



B = 10 log (I/Io)

The Attempt at a Solution


B = 10 log (10e7.6 + 10e8.2 + 10e8.5)

I do not know how to evaluate this! Help please!
 
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Solved - just plug numbers into calculator for exponents!
 

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