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.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY