Pressure Amplitude Calculation for Sound Waves

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SUMMARY

The pressure amplitude of a sound wave with an intensity level of 65 dB can be calculated using the formula: Pressure = Intensity / Velocity of Sound. The intensity (I) is derived from the reference intensity level (I_0) using the equation I = I_0 * 10^(dB/10), where I_0 is 10^-12 W/m². The velocity of sound (V_SOUND) is approximately 340 m/s. The user attempted to calculate the pressure amplitude but encountered discrepancies with the answer key, indicating a potential miscalculation in the intensity or application of the formulas.

PREREQUISITES
  • Understanding of sound intensity and its relationship to decibels (dB)
  • Familiarity with the concept of pressure in physics
  • Knowledge of basic acoustic formulas, including intensity and pressure calculations
  • Basic mathematical skills for manipulating equations
NEXT STEPS
  • Study the relationship between sound intensity and pressure amplitude in detail
  • Learn how to accurately convert decibel levels to intensity using the formula I = I_0 * 10^(dB/10)
  • Explore the derivation and application of acoustic formulas in real-world scenarios
  • Review common mistakes in sound wave calculations to avoid errors in future problems
USEFUL FOR

Students studying acoustics, physics enthusiasts, and anyone involved in sound engineering or audio technology who seeks to understand sound wave properties and calculations.

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Homework Statement


What is the pressure amplitude in sound wave with intensity level of 65 dB?


The Attempt at a Solution


My textbook does not provide any instruction on how pressure amplitude is related to the intensity level. It does not even define what pressure amplitude is. While I can calculate the intensity (P/A) from decibels, I do not know how to calculate pressure amplitude. Please help.
 
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Ok, so here's my attempt at solution..
I = POWER/AREA = FORCE * VELOCITY / AREA
PRESSURE = FORCE/AREA
PRESSURE = I / VELOCITY.
Since we are talking about sound, I suppose it is PRESSURE = I / V_SOUND (340), where I calculated I to be (I_0) (10^6.5).
But this doesn't seem to give the right answer (according to the answer key). What's the issue here?
 

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