How Is Sound Intensity Calculated at a Distance?

AI Thread Summary
To calculate sound intensity at a distance from a source, the power of the sound wave and the area over which it spreads are essential. Given a power of 200 watts, the intensity can be determined using the formula I = P/A, where A is the surface area of a sphere (4πr²). At 100 meters, the area is approximately 12,566 square meters. The intensity can then be calculated as I = 200 watts / 12,566 m², resulting in a specific intensity value. Understanding the relationship between power and intensity is crucial for solving such problems.
tasha_michelle
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sound wave of a source??

Homework Statement


A sound wave radiates from a source to all directions, if the power of the sound is 200 watts then the intensity of the sound wave 100m from the source is what?


Homework Equations


is this question complete / incomplet? is it missing any information that I need to solve the problem. what equation do i use?


The Attempt at a Solution



i tried B (200)log of 10 =(100m)log I/Io ?
 
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Imagine a sphere of radius 100m, how big is its area? How is power related to intensity?
 

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