Calculating Sound Intensity 24 m from a Loudspeaker

AI Thread Summary
The sound level 24 meters from a loudspeaker is measured at 66 dB, and the problem requires calculating the sound energy production rate of the loudspeaker, assuming it is an isotropic source. To solve this, one must understand sound intensity, which is measured in watts per square meter (W/m²), and recognize that sound radiates isotropically, forming a sphere. The surface area at 24 meters can be calculated using the formula for the surface area of a sphere. Additionally, converting the decibel level to a linear scale is necessary to determine the power output in watts. Understanding these concepts is crucial for solving the problem effectively.
Jtappan
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Homework Statement



The sound level 24 m from a loudspeaker is 66 dB. What is the rate at which sound energy is produced by the loudspeaker, assuming it to be an isotropic source?

____W

Homework Equations



?

Something to do with Intensity?

The Attempt at a Solution



I don't know where to begin on this problem. My book doesn't describe any problems that are related to distance nor does it have any equations that are related to distance.
 
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This tests your understanding of "sound intensity", nature of sound propagation, and a bit of math.

What is sound intensity? What are its units? (hint: W/area).

At 24 meters, what is the surface area if sound radiates isotropically (i.e. like an expanding sphere).

You'll have to convert from the dB to linear scale to get power in Watts.
 
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