Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 17, Problem 96P
Four sound waves are to be sent through the same tube of air, in the same direction:
s1(x, t) = (9.00 nm) cos(2πx− 700πt)
s2(x, t) = (9.00 nm) cos(2πx− 700πt + 0.7π)
s3(x, t) = (9.00 nm) cos(2πx− 700πt+π)
s4(x, t) = (9.00 nm) cos(2πx− 700πt+ 1.7π).
What is the amplitude of the resultant wave? (Hint: Use a phasor diagram to simplify the problem.)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A sound wave is modeled as ΔP=2.27 Pasin(50.46 m−1⋅x−17156 s−1⋅t)ΔP=2.27 Pasin(50.46 m-1⋅x-17156 s-1⋅t). What is the maximum change in pressure, the wavelength, the frequency, and the speed of the sound wave?
ΔPmax=ΔPmax= Correct Pa
λ=λ= Correct m
f=f= Incorrect Hz
v=v= Incorrect m/s
A sound wave is modeled as ΔP = 1.80 Pa sin (55.41 m−1 x − 18,840 s−1 t). What is the maximum change in pressure, the wavelength, the frequency, and the speed of the sound wave?
Consider a sound wave moving through the air modeled with the equation s(x, t) = 6.00 nm cos (54.93 m−1 x − 18.84 × 103 s−1 t).What is the shortest time required for an air molecule to move between 3.00 nm and –3.00 nm?
Chapter 17 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 17 - In a first experiment, a sinusoidal sound wave is...Ch. 17 - In Fig. 17-25, two point sources S1, and S2, which...Ch. 17 - In Fig. 17-26, three long tubes A,B, and C are...Ch. 17 - Prob. 4QCh. 17 - In Fig. 17-27, pipe A is made to oscillate in its...Ch. 17 - Prob. 6QCh. 17 - Figure 17-28 shows a moving sound source S that...Ch. 17 - Prob. 8QCh. 17 - For a particular tube, here are four of the six...Ch. 17 - Prob. 10Q
Ch. 17 - You are given four tuning forks. The fork with the...Ch. 17 - Two spectators at a soccer game see, and a moment...Ch. 17 - What is the bulk modulus of oxygen if 32.0 g of...Ch. 17 - Prob. 3PCh. 17 - A column of soldiers, marching at 120 paces per...Ch. 17 - Prob. 5PCh. 17 - A man strikes one end of a thin rod with a hammer....Ch. 17 - SSM WWW A stone is dropped into a well. The splash...Ch. 17 - GO Hot chocolate effect. Tap a metal spoon inside...Ch. 17 - If the form of a sound wave traveling through air...Ch. 17 - Prob. 10PCh. 17 - SSM Diagnostic ultrasound of frequency 4.50 MHz is...Ch. 17 - The pressure in a traveling sound wave is given by...Ch. 17 - A sound wave of the form s = sm coskx t travels...Ch. 17 - Figure 17-32 shows the output from a pressure...Ch. 17 - GO A handclap on stage in an amphitheater sends...Ch. 17 - Two sound waves, from two different sources with...Ch. 17 - Prob. 17PCh. 17 - Prob. 18PCh. 17 - GO Figure 17-35 shows two isotropic point sources...Ch. 17 - Figure 17-36 shows four isotropic point sources of...Ch. 17 - SSM In Fig. 17-37, two speakers separated by...Ch. 17 - In Fig. 17-38, sound with a 40.0 cm wavelength...Ch. 17 - GO Figure 17-39 shows two point sources S1 and S2...Ch. 17 - Suppose that the sound level of a conversation is...Ch. 17 - A sound wave of frequency 300Hz has an intensity...Ch. 17 - Prob. 26PCh. 17 - SSM WWW A certain sound source is increased in...Ch. 17 - Two sounds differ in sound level by 1.00 dB. What...Ch. 17 - Prob. 29PCh. 17 - The source of a sound wave has a power of 1.00 W....Ch. 17 - GO When you crack a knuckle, you suddenly widen...Ch. 17 - Approximately a third of people with normal...Ch. 17 - Male Rana catesbeiana bullfrogs arc known for...Ch. 17 - GO Two atmospheric sound sources A and B emit...Ch. 17 - A point source emits 30.0 W of sound...Ch. 17 - Party hearing. As the number of people at a party...Ch. 17 - Prob. 37PCh. 17 - The water level in a vertical glass tube 1.00 m...Ch. 17 - Prob. 39PCh. 17 - Organ pipe A, with both ends open, has a...Ch. 17 - A violin siring 15.0 cm long and fixed at both...Ch. 17 - A sound wave in a fluid medium is reflected at a...Ch. 17 - SSM In Fig. 17-41, S is a small loudspeaker driven...Ch. 17 - The crest of a Parasaurolophus dinosaur skull is...Ch. 17 - In pipe A, the ratio of a particular harmonic...Ch. 17 - GO Pipe A. which is 1.20 m long and open at both...Ch. 17 - A well with vertical sides and water at the bottom...Ch. 17 - One of the harmonic frequencies of tube A with two...Ch. 17 - SSM A violin string 30.0 cm long with linear...Ch. 17 - Prob. 50PCh. 17 - The A string of a violin is a little too tightly...Ch. 17 - A tuning fork of unknown frequency makes 3.00...Ch. 17 - SSM Two identical piano wires have a fundamental...Ch. 17 - You have five tuning forks that oscillate at close...Ch. 17 - Prob. 55PCh. 17 - An ambulance with a siren emitting a whine at 1600...Ch. 17 - A state trooper chases a speeder along a straight...Ch. 17 - Prob. 58PCh. 17 - GO In Fig. 17-42, a French submarine and a U.S....Ch. 17 - A stationary motion detector sends sound waves of...Ch. 17 - GO A bat is flitting about in a cave, navigating...Ch. 17 - Figure 17-43 shows four tubes with lengths 1.0 m...Ch. 17 - ILWAn acoustic burglar alarm consists of a source...Ch. 17 - A stationary detector measures the frequency of a...Ch. 17 - GO A 2000 Hz siren and a civil defense official...Ch. 17 - GO Two trains are traveling toward each other at...Ch. 17 - SSM WWWA girl is sitting near the open window of a...Ch. 17 - Prob. 68PCh. 17 - SSMA jet plane passes over you at a height of 5000...Ch. 17 - A plane flies at 1.25 times the speed of sound....Ch. 17 - At a distance of 10 km, a 100 Hz horn, assumed to...Ch. 17 - A bullet is fired with a speed of 685 m/s. Find...Ch. 17 - Prob. 73PCh. 17 - The average density of Earths crust 10 km beneath...Ch. 17 - A certain loudspeaker system emits sound...Ch. 17 - Find the ratios greater to smaller of the a...Ch. 17 - Prob. 77PCh. 17 - A trumpet player on a moving railroad flatcar...Ch. 17 - GO In Fig. 17-46, sound of wavelength 0.850 m is...Ch. 17 - GO A detector initially moves at constant velocity...Ch. 17 - SSMa If two sound waves, one in air and one in...Ch. 17 - A continuous sinusoidal longitudinal wave is sent...Ch. 17 - SSMUltrasound, which consists of sound waves with...Ch. 17 - The speed of sound in a certain metal is vm. One...Ch. 17 - An avalanche of sand along some rare desert sand...Ch. 17 - A sound source moves along an x axis, between...Ch. 17 - SSMA siren emitting a sound of frequency 1000 Hz...Ch. 17 - Prob. 88PCh. 17 - Prob. 89PCh. 17 - Prob. 90PCh. 17 - Prob. 91PCh. 17 - You can estimate your distance from a lightning...Ch. 17 - SSMFigure 17-48 shows an air-filled, acoustic...Ch. 17 - Prob. 94PCh. 17 - SSMThe sound intensity is 0.0080 W/m2 at a...Ch. 17 - Four sound waves are to be sent through the same...Ch. 17 - Prob. 97PCh. 17 - A point source that is stationary on an x axis...Ch. 17 - You are standing at a distance D from an isotropic...Ch. 17 - Pipe A has only one open end; pipe B is four times...Ch. 17 - A pipe 0.60 m long and closed at one end is filled...Ch. 17 - A sound wave travels out uniformly in all...Ch. 17 - A police car is chasing a speeding Porsche 911....Ch. 17 - Suppose a spherical loudspeaker emits sound...Ch. 17 - In Fig. 17-35. S1 and S2 are two isotropic point...Ch. 17 - Prob. 106PCh. 17 - Kundts method for measuring the speed of sound. In...Ch. 17 - Prob. 108PCh. 17 - In Fig. 17-53, a point source S of sound waves...Ch. 17 - A person on a railroad car blows a trumpet note at...Ch. 17 - A listener at rest with respect to the air and the...
Additional Science Textbook Solutions
Find more solutions based on key concepts
CAUTION Why does the presence of extinct forms and transitional features in the fossil record support the patte...
Biological Science (6th Edition)
Two culture media were inoculated with four different bacteria. After incubation, the following results were ob...
Microbiology: An Introduction
a. Draw the mechanism for the following reaction if it a involves specific-base catalysis. b. Draw the mechanis...
Organic Chemistry (8th Edition)
Choose the best answer to each of the following. Explain your reasoning. The fact that we always see the same f...
Cosmic Perspective Fundamentals
The number of named species is about ________, but the actual number of species on Earth is estimated to be abo...
Biology: Life on Earth with Physiology (11th Edition)
35. For the reaction shown, calculate how many grams of each product form when the given amount of each reactan...
Introductory Chemistry (6th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- There was an accident, and NASA engineers are trying to sort out where two of their Mars Rovers, Tango and Foxtrot, have landed. The engineers know that landing site A is much hotter than landing site B. Unfortunately, the only working sensors on Tango and Foxtrot measure the speed of sound. If Tango measures the speed of sound at its landing site as 240 m/s, while Foxtrot measures speed of sound as 258 m/s at its landing site, where has each rover landed?arrow_forwardThere was an accident and NASA engineers are trying to sort out where two of their Mars Rovers (named 'Tango' and 'Foxtrot') have landed. The engineers know that landing site A is much hotter than landing site B. Unfortunately, the only working sensors on Tango and Foxtrot measure the speed of sound. If Tango measures the speed of sound at its landing site as 240 m/s, while Foxtrot measures speed of sound as 258 m/s at its landing site, where has each rover landed? Tango landed at site A while Foxtrot landed at site B. Tango landed at site B while Foxtrot landed at site A. Both Tango and Foxtrot landed at site A. O Both Tango and Foxtrot landed at site B.arrow_forwardA capillary wave is a wave traveling across the surface of a fluid that is driven by the surface tension within the fluid. The speed v of a capillary wave depends on the density of the fluid ?ρ , the wavelength of the wave ?λ, and the surface tension ?σ . The SI units of surface tension are J/m2. The capillary wave speed can be written as ?=???????v=kσaρbλc , where k is some unitless constant. What must be the value of c?arrow_forward
- Sound is detected when a sound wave causes the eardrum to vibrate. Typically, the diameter of the eardrum is about 8.4 mm in humans. When someone speaks to you in a normal tone of voice, the sound intensity at your ear is approximately 1.0 × 10-6 W/m². What is the power delivered to your eardrum? Express your answer in watts. P = 17 ΑΣΦ ? Warrow_forwards(y,t) = (3.5nm) sin [(12.5 rad/m) y + (4340 rad/s) t] describes a soundwave. What is the velocity of the wave propagation?arrow_forwardConsider a sound wave modeled with the equation s(x, t) = 4.00 nm cos (3.66 m−1 x − 1256 s−1 t). What is the maximum displacement, the wavelength, the frequency, and the speed of the sound wave?arrow_forward
- The pressure in a sound wave in steel is given by p(x, t) = patm + p0 cos (2.4x - (1.4 × 104)t), where patm is atmospheric pressure, p0 is the amplitude of the wave, x is in m, and t in s. What are the speed and frequency of this wave?arrow_forwardOn a warm summer day (33 ∘C), it takes 4.90 s for an echo to return from a cliff across a lake. On a winter day, it takes 5.30 s . The speed of sound in air is v≈(331+0.60T)m/s, where T is the temperature in ∘C. What is the temperature on the winter day?arrow_forwardSpeed of sound (vo) in dry air at 0°C is 331 m/s. Therefore, at room temperature (23°C) the speed (vT) will be O [331 x 296) /273)] m/s O [(331 x 23) /273] m/s O [331/(296/273)] m/s V[331 (23/273)] m/sarrow_forward
- A sunbather stands waist deep in the ocean and observes that seven crests of periodic surface waves pass each minute. The crests are 33.43 meters apart. What are the wavelength (in m), frequency (in Hz), period (in s), and speed (in m/s) of the waves? wavelength 33.43 frequency 0.11 9.09 303.90 period speed ✔m xHz X S x m/sarrow_forwardWhich is the correct option?arrow_forwardProblem 2: You are hiking along a trail in a wide, dry canyon where the outdoor temperature is T = 25.5° C. To determine how far you are away from the canyon wall you yell “Hello” and hear the echo t = 1.95 s later.Randomized Variables T = 25.5° Ct = 1.95 s Part (a) Calculate the speed of sound in the valley in meters per second, assuming the speed at 0° C is 332 m/s.Numeric : A numeric value is expected and not an expression.v = __________________________________________Part (b) How far are you from the canyon wall, in meters?Numeric : A numeric value is expected and not an expression.D = __________________________________________Part (c) If you stood at the same point on a cold morning where the temperature was T2 = -5.5 degrees C, how long would it have taken for you to hear the echo, in seconds?Numeric : A numeric value is expected and not an expression.t2 = __________________________________________arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
What Are Sound Wave Properties? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=GW6_U553sK8;License: Standard YouTube License, CC-BY