How Do You Calculate Sound Intensity and Power from Decibels?

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SUMMARY

The discussion focuses on calculating sound intensity and power from decibel levels, specifically addressing a scenario where a listener hears a 115 dB sound from an automobile at a distance of 9.0 meters. The minimum threshold of hearing is established at 1 x 10^-12 W/m^2. The sound intensity can be calculated using the formula I = I0 * 10^(dB/10), resulting in an intensity of approximately 3.16 x 10^-2 W/m^2. To find the power dissipated by the car into sound waves, the formula P = I * A is applied, where A is the area over which the sound is distributed.

PREREQUISITES
  • Understanding of sound intensity and decibel levels
  • Familiarity with the formula for sound intensity: I = I0 * 10^(dB/10)
  • Knowledge of the relationship between intensity, power, and area: P = I * A
  • Basic grasp of physics concepts related to sound waves
NEXT STEPS
  • Study the calculation of sound intensity using different decibel levels
  • Learn about the relationship between sound intensity and distance from the source
  • Explore the concept of sound power and its calculation in various scenarios
  • Investigate the effects of environmental factors on sound propagation
USEFUL FOR

Students studying physics, acoustics professionals, and anyone interested in understanding sound measurement and calculations related to decibels.

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Homework Statement



The intensity of sound at the minimum threshold of hearing is 1*10^-12 W/m^2. A listner hears a 115 dB sound as an automobile passes by at a distance of 9.0 meters.
a) what is the sound intensity in W/m^2 ?

b) About how much power is the car dissipating into sound waves?
 
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