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A point source emits sound waves with a power output of 135 watts. What is the sound level (in dB) at a distance of 10 m

User Aaronmallen
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1 Answer

28 votes
28 votes

Answer:

The sound level of the point source at a distance of 10 meters is approximately 110.294 decibels.

Step-by-step explanation:

First, we calculate the intensity (
image), in watts per square meter, by the Inverse-Square Law:


image (1)

Where:


image - Power, in watts.


image - Radius, in meters.

And the sound intenity level (
image), in decibels, is expressed by:


image (2)

Where
image is the reference sound intensity, in watts per square meter.

If we know that
image,
image and
image, then we find that sound level at a distance of 10 meters is:


image


image


image


image

The sound level of the point source at a distance of 10 meters is approximately 110.294 decibels.

User AndyMoore
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