Calculating Decibel Levels with Increasing Fans

  • Context: Undergrad 
  • Thread starter Thread starter shemer77
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SUMMARY

This discussion focuses on calculating decibel levels for multiple fans, specifically addressing the misconception that sound levels simply add up. One fan produces 45 decibels, but two fans do not produce 90 decibels due to the logarithmic nature of sound. The correct method involves using the formula 10 * log10(n), where 'n' is the number of fans. For 8 fans, the calculation would be 10 * log10(8), which provides the accurate decibel level.

PREREQUISITES
  • Understanding of logarithmic scales
  • Basic knowledge of sound measurement in decibels
  • Familiarity with mathematical calculations involving logarithms
  • Concept of sound intensity and its relationship to decibel levels
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  • Research the properties of logarithmic scales in sound measurement
  • Learn how to calculate sound levels for multiple sources using logarithmic formulas
  • Explore the impact of sound intensity on perceived loudness
  • Investigate real-world applications of decibel calculations in acoustics
USEFUL FOR

Acoustics engineers, sound technicians, and anyone involved in noise management or sound system design will benefit from this discussion.

shemer77
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I was wondering how I would go about calculating decible levels with increasing fans. Here I'll explain
1 fan is 45 decibles but we know that 2 fans is not 90 decibles, so I was wondering how i would go about calculating how many decibles 8 fans is.
 
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Decibels are on a log scale. Ten decibels (one bel) means the energy of the sound is ten times as much. For 2 fans add 10log2 ~ 3. For 8 add 10log8. The log in this equation is to base 10.
 
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