The pressures caused by pure tones on the eardrum are sinusoidal The change in pressure P in pounds per square foot on a person's eardrum from a pure tone at time t in seconds can be modeled using the equation PA sin (2x +4), wh per second, and is the phase angle. When P is positive, there is an Q increase in pressure and the eardrum is pushed inward, when P is negative, there is a decrease in pressure and the eardrum is pushed outward. A graph of a tone P(1)= 007 sin 2x(256 56t+is shown to the right. Complete parts (a) through (c) below. (a) Determine algebraically the values of t for which P=0 over [0, 005] The solution set is (). Round to five decimal places as needed. Use a comma to separate answers as needed.) 007 007 C
The pressures caused by pure tones on the eardrum are sinusoidal The change in pressure P in pounds per square foot on a person's eardrum from a pure tone at time t in seconds can be modeled using the equation PA sin (2x +4), wh per second, and is the phase angle. When P is positive, there is an Q increase in pressure and the eardrum is pushed inward, when P is negative, there is a decrease in pressure and the eardrum is pushed outward. A graph of a tone P(1)= 007 sin 2x(256 56t+is shown to the right. Complete parts (a) through (c) below. (a) Determine algebraically the values of t for which P=0 over [0, 005] The solution set is (). Round to five decimal places as needed. Use a comma to separate answers as needed.) 007 007 C
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 70E
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![The pressures caused by pure tones on the eardrum are sinusoidal. The change in pressure P in pounds per square foot on a person's eardrum from a pure tone at time t in seconds can be modeled using the equation P = A sin (2xft+4), where f is the frequency in cycles
per second, and is the phase angle. When P is positive, there is an
increase in pressure and the eardrum is pushed inward, when P is negative, there is a decrease in pressure and the eardrum is pushed outward. A graph of a tone P(t) = .007 sin 2x(256.56)t +
shown to the right Complete parts (a) through (c) below.
(a) Determine algebraically the values of t for which P = 0 over [0, .005]
The solution set is
(Round to five decimal places as needed. Use a comma to separate answers as needed.)
is
007
007
005
S](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F070e8b65-931e-44e7-bfb4-6d69e5ced655%2F172dc483-0f2c-40ed-9279-505ec38879e9%2Ff2glgyn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The pressures caused by pure tones on the eardrum are sinusoidal. The change in pressure P in pounds per square foot on a person's eardrum from a pure tone at time t in seconds can be modeled using the equation P = A sin (2xft+4), where f is the frequency in cycles
per second, and is the phase angle. When P is positive, there is an
increase in pressure and the eardrum is pushed inward, when P is negative, there is a decrease in pressure and the eardrum is pushed outward. A graph of a tone P(t) = .007 sin 2x(256.56)t +
shown to the right Complete parts (a) through (c) below.
(a) Determine algebraically the values of t for which P = 0 over [0, .005]
The solution set is
(Round to five decimal places as needed. Use a comma to separate answers as needed.)
is
007
007
005
S
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Would an eardrum hearing this tone be vibrating outward or inward when P>0?
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