SOLUTION: The loudness L of a sound measured in decibels (dB) is given by the formula: L = 10 · log I/I(0) , where I represents the intensity of the sound measured in watts per square meter

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The loudness L of a sound measured in decibels (dB) is given by the formula: L = 10 · log I/I(0) , where I represents the intensity of the sound measured in watts per square meter       Log On


   



Question 302651: The loudness L of a sound measured in decibels (dB) is given by the formula: L = 10 · log I/I(0) , where I represents the intensity of the sound measured in watts per square meter (w/m^2), and I(0) = 10^-12 w/m^2.

What is the intensity of a noise (in w/m^2)whose loudness is measured at 80 dB.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The loudness L of a sound measured in decibels (dB) is given by the formula: L = 10 · log I/I(0) , where I represents the intensity of the sound measured in watts per square meter (w/m^2), and I(0) = 10^-12 w/m^2.
What is the intensity of a noise (in w/m^2)whose loudness is measured at 80 dB.
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L = 10 · log I/I(0)
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80 = 10*log[I/10^-12]
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8 = log [I/10^-12]
I/10^-12 = 10^8
I = 10^-4 w/m^2
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Cheers,
Stan H.