Concept explainers
The Doppler effect is a change in the observed frequency of a wave (such as a sound wave or light wave) when the source of the wave and observer are in motion relative to each other. The Doppler effect explains why an observer hears a change in pitch of an ambulance siren as the ambulance passes by the observer. The frequency
of a sound relative to an observer is given by
is the actual frequency of the sound at the source,
is the speed of sound in air (772.4 mph), and v is the speed at which the source of sound is moving toward the observer. Use this relationship for Exercises 99–100.
Suppose that an ambulance moves toward an observer.
a. Write F as a function of v if the actual frequency of sound emitted by the ambulance is 560 Hz.
b. Use a graphing utility to graph the function from part (a ) on the window [0, 1000, 100] by [0, 5000, 1000].
c. As the speed of the ambulance increases, what is the effect of the frequency of sound?
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
COLLEGE ALGEBRA
- Define Newton’s Law of Cooling. Then name at least three real-world situations where Newton’s Law of Cooling would be applied.arrow_forward#6arrow_forwardPeople who believe in biorhythms claim there are three cycles that rule our behavior - the physical, emotional, and mental. Each is a sine function of a certain period. The function for our emotional fluctuations is where t is measured in days starting at birth. Emotional fluctuations, E, are measured from 1 to 1, with 1 representing peak emotional well-being, 1 representing the low for emotional well-being, and 0 representing feeling neither emotionally high nor low. a. Find E corresponding to t = 30, 35, 40, 45, and 50. Describe what you observe. b. What is the period of the emotional cycle? a. Find E corresponding to t = 30. E = Find E corresponding to t = 35. E= Find E corresponding to t = 40. E= Find E corresponding to t= 45. E= Find E corresponding to t = 50. E= Describe what you observe. T E = sint (Equation may not be based on actual studies.) O Our emotions appear to cycle between 1 and 0. O Our emotions appear to cycle between - 1 and 1. O Our emotions appear to cycle between…arrow_forward
- The water depth in a narrow channel varies with the tides. The depth of the channel is deepest at the high tide that occurs at 2 AM in the morning when it is 12 ft. The channel is lowest at low tide, which occurs at 2 PM, when the depth is 5.4 ft. If t represents the hours after midnight, find a cosine model for the depth, D(t), of the channel (in feet) as a function of time. D(t) =arrow_forwardDuring a 12.8-hour period, the water level at Bay of Fundy, Nova Scotia, started at mean sea level (h=0), rose to 23.8 ft above sea level, dropped to 23.8 ft below mean sea level, and then returned to mean sea level. Which of the following model describes the height of the tide in ft as a function of time in hours, h(t) ? 23.8 sin (12.8 t) 23.8 sin(12.8 t) 47.6 sin(0.15625 t) 47.6 sin(12.8 t) 23.8 sin(0.15625 t) 47.6 sin (12.8t)arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning