SOLUTION: The loudness L of a sound measured in decibles (db) is given by the formula: L=10*log (I ÷ I0) where I repesents the intensity of the sound measured in watts per square meters and

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Question 303538: The loudness L of a sound measured in decibles (db) is given by the formula: L=10*log (I ÷ I0) where I repesents the intensity of the sound measured in watts per square meters and Io = 10^-12.
The loudness of certain sound measures 30 db. If the intensity of the sound is multiplied by 10, what is the loudness in decibels of the new sound?



Answer by stanbon(75887) About Me  (Show Source):
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The loudness L of a sound measured in decibles (db) is given by the formula: L=10*log (I ÷ I0) where I repesents the intensity of the sound measured in watts per square meters and Io = 10^-12.
The loudness of certain sound measures 30 db. If the intensity of the sound is multiplied by 10, what is the loudness in decibels of the new sound?
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L = 10*log (I/Io)
30 = 10*log(I/10^-12)
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3 = log(I/10^-12)
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I/10^-12 = 10^3
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I = 10^-12*10^3
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I = 10^-9
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