Principles Of Physics: Student Solutions Manual And Study Guide; Vol-1
5th Edition
ISBN: 9781133110767
Author: GORDON
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 13, Problem 4P
To determine
Show that the wave function
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
y(x, 1) = (6.50 mm)cos 27
28.0 cm
0.0360 s
1. Based on the wave function above, determine the following quantities: (a)
amplitude, (b) wavelength, (c) frequency, and (d) the direction of the wave's
propagation. Make sure to convert the final answers in their standard units.
ANSWERS:
The wave y (x,t) = Asin (kx − wt + (lambda sign)) has an amplitude of 0.245 cm and a period of 85.2 ms. What is the maximum particle velocity? Answer in m / s.
Write down w*w, for the following wave functions:
a. W(x) = ekx
b. W(x) = eAx
с. Ф(x) %3D а + іx
d. W(x) = cos(2TX)
Chapter 13 Solutions
Principles Of Physics: Student Solutions Manual And Study Guide; Vol-1
Ch. 13.1 - (i) In a long line of people waiting to buy...Ch. 13.2 - Prob. 13.2QQCh. 13.2 - The amplitude of a wave is doubled, with no other...Ch. 13.3 - Suppose you create a pulse by moving the free end...Ch. 13.5 - Prob. 13.5QQCh. 13.7 - Consider detectors of water waves at three...Ch. 13.7 - Prob. 13.7QQCh. 13 - Prob. 1OQCh. 13 - Prob. 2OQCh. 13 - Rank the waves represented by the following...
Ch. 13 - Prob. 4OQCh. 13 - When all the strings on a guitar (Fig. OQ13.5) are...Ch. 13 - By what factor would you have to multiply the...Ch. 13 - A sound wave can be characterized as (a) a...Ch. 13 - Prob. 8OQCh. 13 - Prob. 9OQCh. 13 - A source vibrating at constant frequency generates...Ch. 13 - A source of sound vibrates with constant...Ch. 13 - Prob. 12OQCh. 13 - Prob. 13OQCh. 13 - Prob. 14OQCh. 13 - As you travel down the highway in your car, an...Ch. 13 - Prob. 16OQCh. 13 - Suppose an observer and a source of sound are both...Ch. 13 - Prob. 1CQCh. 13 - Prob. 2CQCh. 13 - Prob. 3CQCh. 13 - Prob. 4CQCh. 13 - When a pulse travels on a taut string, does it...Ch. 13 - Prob. 6CQCh. 13 - Prob. 7CQCh. 13 - Prob. 8CQCh. 13 - Prob. 9CQCh. 13 - Prob. 10CQCh. 13 - Prob. 11CQCh. 13 - How can an object move with respect to an observer...Ch. 13 - Prob. 13CQCh. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - The string shown in Figure P13.5 is driven at a...Ch. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - A transverse wave on a string is described by the...Ch. 13 - Prob. 11PCh. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - A transverse sinusoidal wave on a string has a...Ch. 13 - A steel wire of length 30.0 m and a copper wire of...Ch. 13 - Prob. 16PCh. 13 - Prob. 17PCh. 13 - Review. A light string with a mass per unit length...Ch. 13 - Prob. 19PCh. 13 - Prob. 20PCh. 13 - A series of pulses, each of amplitude 0.150 m, are...Ch. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - A taut rope has a mass of 0.180 kg and a length of...Ch. 13 - Prob. 25PCh. 13 - Prob. 26PCh. 13 - Prob. 27PCh. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - Prob. 30PCh. 13 - Write an expression that describes the pressure...Ch. 13 - Prob. 32PCh. 13 - Prob. 33PCh. 13 - Prob. 34PCh. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - A sound wave in air has a pressure amplitude equal...Ch. 13 - A rescue plane flies horizontally at a constant...Ch. 13 - A driver travels northbound on a highway at a...Ch. 13 - Prob. 40PCh. 13 - Prob. 41PCh. 13 - Prob. 42PCh. 13 - Prob. 43PCh. 13 - Prob. 44PCh. 13 - Review. A tuning fork vibrating at 512 Hz falls...Ch. 13 - Submarine A travels horizontally at 11.0 m/s...Ch. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Review. A block of mass M, supported by a string,...Ch. 13 - Prob. 51PCh. 13 - Review. A block of mass M hangs from a rubber...Ch. 13 - Prob. 53PCh. 13 - The wave is a particular type of pulse that can...Ch. 13 - Prob. 55PCh. 13 - Prob. 56PCh. 13 - Prob. 57PCh. 13 - Prob. 58PCh. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - Prob. 62PCh. 13 - Prob. 63PCh. 13 - Prob. 64PCh. 13 - Prob. 65PCh. 13 - Prob. 66PCh. 13 - Prob. 67PCh. 13 - A sound wave moves down a cylinder as in Active...Ch. 13 - A string on a musical instrument is held under...Ch. 13 - A train whistle (f = 400 Hz) sounds higher or...Ch. 13 - The Doppler equation presented in the text is...
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
- A wave is modeled by the wave function y(x,t)=(0.30m)sin[2π/4.50m(x−18.00m/st)]. What are the amplitude,wavelength, wave speed, period, and frequency of the wave?Pls show detailed solutions in getting the wavelength, period and frequencyarrow_forwarddocs.google.com/forms/d/e/1Ff o Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and differing with their phase constant, are travelling to the right with same velocity v = 50 m/s. The resultant wave function y_res (x,t) will have the form: y_res (x,t) = 12(cm) cos(4/2) sin(3Tx+150rt+p/2). y_res (x,t) = 12(cm) cos(4/2) sin(150Ttx+3nt+p/2). y_res (x,t) = 12(cm) cos(4/2) sin(150ttx- 3nt+p/2). y_res (x,t) = 12(cm) cos(4/2) sin(3tx- 150rtt+p/2). y_res (x,t) = 12(cm) cos(p/2) sin(3tx- 180nt+p/2). العربية الإنجليزية ... +arrow_forwardThe function y(x,t) = 3 describes a wave. Show that this function satisfies the wave x-5t equation, = by explicitly evaluating the partial derivatives. Also, calculate the 1 a?y v2 at2 numerical value of the wave speed v.arrow_forward
- A traveling wave along the x-axis is given by the following wave functionψ(x, t) = 4.8 cos(1.2x - 8.2t + 0.54), where x in meter, t in seconds, and ψ in meters. Read off the appropriate quantities for this wave function and find the following characteristics of this plane wave. What is the frequency in Hertz, the wavelength in meters, the wave speed in meters per second, and the phase constant in radiansarrow_forwardProblem 4: A traveling wave along the x-axis is given by the following wave functionψ(x, t) = 3.6 cos(1.4x - 9.2t + 0.34),where x in meter, t in seconds, and ψ in meters. Read off the appropriate quantities for this wave function and find the following characteristics of this plane wave: Part (a) The amplitude in meters. Part (b) The frequency, in hertz. Part (c) The wavelength in meters. Part (d) The wave speed, in meters per second. Part (e) The phase constant in radians.arrow_forwardDescribe a pulse traveling along a string of linear mass density u as a wave function, y(x), if the power carried by this wave at a point x is described as P(x): P (x) = (µ o² /k) e ™* What is the wave function y(x)?arrow_forward
- A standing wave is the result of superposition of two harmonic waves given by the equations y1(x;t) =Asin(ωt - kx) and y2(x; t) = Asin(ωt + kx). The angular frequency is ω = 3π rad/s and the k = 2πrad/m is the wave number.(a) Give an expression for the amplitude of standing wave. b) calculate the frequency of the wavearrow_forwardThe following incorrect equation is supposed to describe a wave propagating in a lossy medium: U(x, t) = Aeaz sin(wt – kx) (v). Choose the correct format from the below choices if exists: Select one or more: a. v(z, 1) = 5e-0.05z sin(4n * 10°t – 20xy + 20°) (v). O b. v(y, t) = 7.5e-0.89y sin(47 * 10°t – 20y) (v). O c. U(y, t) = 9e-0.25y sin(4 * 10°t – 20y + 20°) (A). O d. v(x, t) = e-0.89x sin(47 * 10°t – 20x) (v). O e. v(z, 1) = 5e-0.58z sin(4n * 10°t – 20xz) (v). O f. v(z, 1) = 5.5e0.25% sin(4n * 10°t – 20rz – 20°) (v). - g. U(y, t) = 0.55e-0.003z sin(47 * 10°t – 20zy + 20°) (v). O h. v(x, t) = 5e0.25x sin(4n * 10°t - 207x) (v). O i. v(x, 1) = 5e-0.03x sin(4 * 10°t – 20x) (v).arrow_forwardThe displacement of a wave is given by 0.05 sin 40n (100 t – x) in S.I. the equation Y units. Find out wavelength and wave velocity.arrow_forward
- A pulse traveling along a string of linear mass density as a wave function. Power carried by wave at point x=P(x) P (x) = (μ ω3 / k) e πx (a) What is the wave function y(x)? (b) What is the total energy in one wavelength of the wave?arrow_forwardA periodic vibration at x = 0, t = 0 displaces air molecules along the x direction by smax = 1.8E-05 m. The motion produces a sound wave that travels at a velocity of v = 350 m/s with a frequency of f = 180 Hz. Take the density of air as ρa = 1.20 kg/m3. a. Calculate the displacement of the air molecules using an function for the traveling sound wave in terms of time and position at time t = 0.001 s and displacement x = 1.0 m. b. Write an expression for the maximum pressure exerted by the sound wave ΔPmax in terms of the air density ρa, the sound velocity v, the angular frequency ω, and the maximum displacement smax. c. The sound wave is directly incident on a sheet of paper of surface area A = 0.037 m2. Calculate the maximum force Fmax, in newtons, exerted on this sheet.arrow_forwardUse dimensional analysis to find how the speed vvv of a wave on a string of circular cross section depends on the tension in the string, T, the radius of the string, R, and its mass per volume, ρ (rho). Express your answer in terms of the variables T, R, and ρ(rho).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction 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 LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege 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