Sound energy passing through a hole

AI Thread Summary
To solve the problem of calculating the energy passing through a hole from a sound wave with an intensity level of 80 dB, first convert the decibel level to intensity using the formula dB = 10log10(I/I0), where I0 is the reference intensity (1 x 10^-12 W/m²). This results in an intensity of approximately 0.01 W/m². Multiply this intensity by the cross-sectional area of the hole (3 m²) to find the total power in watts, which is 0.03 W. Over a duration of 10 minutes, convert the time to seconds and multiply by the power to find the total energy in joules, resulting in 18 J. The solution demonstrates the relationship between sound intensity, area, and energy over time.
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Homework Statement


"A continuous sound wave with a sound intensity level of 80dB passes through a hole in a wall which has a cross-sectional area of 3m^2. How much energy passes through this hole in 10 minutes, in joules?"

If anyone can show me how this problem is solved it's be much appreciated. Thanks



Homework Equations



dB = 10log10 (I/Io)

The Attempt at a Solution

 
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Suppose instead of units of dB you had Joules per square meter per second (a.k.a. Watts per square meter a.k.a. Intensity)

Then how would you solve the problem?
 
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