Pressure on the Eardrum See Example 6. No musical instrument can generate a true pure tone. A pure tone has a unique, constant frequency and amplitude that sounds rather dull and uninteresting. 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(2πft + Φ),
where f is the frequency in cycles per second, and Φ is the phase
(a) Determine algebraically the values of t for which P= 0 over [0, 0.005].
(b) From a graph and the answer in part (a), determine the interval for which P ≤ 0 over [0, 0.005].
(c) Would an eardrum hearing this tone be vibrating outward or inward when P < 0?
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Trigonometry (11th Edition)
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage