Sound intensity. The intensity of sound is inversely proportional to the square of the distance. That is, I = ( k r 2 ) where I the intensity at a distance r from the source and k is a constant. a. Show that if L 1 and L 2 are decibel readings of a sound at distances r 1 and r 2 (in meters), respectively, then L 1 − L 2 = 20 log ( r 2 r 1 ) . b. A military jet at 30 meters has 140 decibel level of loudness. How loud will you hear this jet sound at a distance of 100 meters? 300 meters? c. Express r 2 r 1 in the exponential form.
Sound intensity. The intensity of sound is inversely proportional to the square of the distance. That is, I = ( k r 2 ) where I the intensity at a distance r from the source and k is a constant. a. Show that if L 1 and L 2 are decibel readings of a sound at distances r 1 and r 2 (in meters), respectively, then L 1 − L 2 = 20 log ( r 2 r 1 ) . b. A military jet at 30 meters has 140 decibel level of loudness. How loud will you hear this jet sound at a distance of 100 meters? 300 meters? c. Express r 2 r 1 in the exponential form.
Solution Summary: The author explains that the intensity of sound is inversely proportional to the square of the distance.
Precalculus: A Unit Circle Approach with Integrated Review, Books a la Carte Edition, plus MyLab Math with Pearson eText and Worksheets -- Access Card Package (3rd Edition)
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