79. A human ear detects sound as a result of fluctuations in air pressure against the eardrum, which are in turn transmitted into nerve impulses that the brain translates as sound. Suppose that the pressure P(t) of a sound wave on a person's eardrum from a source 20 ft away is given by P(t) = 0.02 cos (1000t – 107). In this model P(t) is in pounds per square foot and t is the time in seconds after the sound begins. Simplify the right side by applying the difference formula for cosine.

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
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Chapter17: Sound Waves
Section: Chapter Questions
Problem 17.20P: The area of a typical eardrum is about 5.00 X 10-5 m2. (a) (Calculate the average sound power...
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79. A human ear detects sound as a result of fluctuations
in air pressure against the eardrum, which are in turn
transmitted into nerve impulses that the brain translates
as sound. Suppose that the pressure P(t) of a sound
wave on a person's eardrum from a source 20 ft away
is given by P(t) = 0.02 cos (1000t – 107). In this
model P(t) is in pounds per square foot and t is the
time in seconds after the sound begins. Simplify the
right side by applying the difference formula for
cosine.
Transcribed Image Text:79. A human ear detects sound as a result of fluctuations in air pressure against the eardrum, which are in turn transmitted into nerve impulses that the brain translates as sound. Suppose that the pressure P(t) of a sound wave on a person's eardrum from a source 20 ft away is given by P(t) = 0.02 cos (1000t – 107). In this model P(t) is in pounds per square foot and t is the time in seconds after the sound begins. Simplify the right side by applying the difference formula for cosine.
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