SOLUTION: The loudness of sound is measured in units called decibels. The decibel rating of a sound is given by D(i) = 10.log(i/i0) Where i is the intensity of the sound and i0 is the mi

Algebra ->  Finance -> SOLUTION: The loudness of sound is measured in units called decibels. The decibel rating of a sound is given by D(i) = 10.log(i/i0) Where i is the intensity of the sound and i0 is the mi      Log On


   



Question 1124982: The loudness of sound is measured in units called decibels. The decibel rating of a sound is given by
D(i) = 10.log(i/i0)
Where i is the intensity of the sound and i0 is the minimum intensity detectable by the human ear (the so-called threshold sound). Find the decibel rating, round answers to the nearest whole number.
Whisper, 115i0

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The loudness of sound is measured in units called decibels.
The decibel rating of a sound is given by
D%28I%29+=+10%2Alog%28I%2FIo%29
Where I is the intensity of the sound.
and Io is the minimum intensity detectable by the human ear (the so-called threshold sound).
Find the decibel rating, round answers to the nearest whole number.
Whisper, 115Io
:
Io = the threshold of sound is 10%5E%28-12%29 W/m^2 (watts per square meter)
:
Since Io is in the numerator and denominator it's just:
D%28I%29+=+10%2Alog%28115%29
D(I) = 10*2.06
D(I) = 20 db