Sound Wave Intensity/Sound Level

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SUMMARY

The intensity of sound wave A is 100 times greater than that of sound wave B, resulting in a sound level difference of +20 dB when calculated using the formula 10 log10(I/I0). This calculation confirms that the correct answer to the relative sound level of wave A compared to wave B is indeed +20 dB. The discussion emphasizes the importance of understanding logarithmic relationships in sound intensity measurements.

PREREQUISITES
  • Understanding of sound intensity and decibel scale
  • Familiarity with logarithmic calculations
  • Knowledge of the formula 10 log10(I/I0)
  • Basic principles of sound waves
NEXT STEPS
  • Study the decibel scale and its applications in acoustics
  • Learn more about logarithmic functions in physics
  • Explore sound wave properties and their measurement techniques
  • Investigate the effects of sound intensity on human perception
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Acoustics students, audio engineers, physicists, and anyone interested in sound wave analysis and measurement techniques.

threewingedfury
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The intensity of sound wave A is 100 times that of sound wave B. Relative to wave B the sound level of wave A is:
a. -2 dB
b. +2 dB
c. +10 dB
d. +20 dB
e. +100 db

Using 10logbase10(I/Io) - 10log(100/1) - Would the answer be 20 dB?
 
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As long as you are calculating the relative intensities, yes. You are correct.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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