Loudness of Sound The loudness L of a sound (measured indecibels, dB) is inversely proportional to the square of thedistance d from the source of the sound.(a) Write an equation that expresses this variation.(b) Find the constant of proportionality if a person 10 ftfrom a lawn mower experiences a sound level of 70 dB.(c) If the distance in part (b) is doubled, by what factor isthe loudness changed?(d) If the distance in part (b) is cut in half, by what factor isthe loudness changed?

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Loudness of Sound The loudness L of a sound (measured in
decibels, dB) is inversely proportional to the square of the
distance d from the source of the sound.
(a) Write an equation that expresses this variation.
(b) Find the constant of proportionality if a person 10 ft
from a lawn mower experiences a sound level of 70 dB.
(c) If the distance in part (b) is doubled, by what factor is
the loudness changed?
(d) If the distance in part (b) is cut in half, by what factor is
the loudness changed?

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