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 (2xt 4) where is the frequency in cyc per second, and is the phase angle When P is positive, there is an Q 005 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) 006 sin 2x(243 16)+ 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.). 006

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
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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 + $), where f is the frequency in cycles
per second, and is the phase angle. When P is positive, there is an
Mª
A
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) = .006 sin 2x(243 16) +
5
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.)
...
006
- 006
005
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 + $), where f is the frequency in cycles per second, and is the phase angle. When P is positive, there is an Mª A 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) = .006 sin 2x(243 16) + 5 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.) ... 006 - 006 005
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