Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 16, Problem 14P
(a)
To determine
To sketch: The
(b)
To determine
The period of vibration.
(c)
To determine
To compare: The value of period of vibration obtained in part (b) with the value found in Example 16.2.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
If a wave has an amplitude of A = 4.0 m, a wave number k = 0.32 rad/m, and an
angular frequency w = 0.7 rad/s, then find the height of the wave at a distance of x =
1.3 m from the origin at a time of t = 8 seconds..
Hint: Calc in radians!
A standing wave is the result of superposition of two harmonic waves given by the equations y1 (x, t) =
A sin(wt – kæ) and y2(x, t) = A sin(wt + kæ). The angular frequency is w = 37 rad/s and the k = 27
rad/m is the wave number.
(a) Give an expression for the amplitude of standing wave.
(b) Determine the frequency.
(c) Determine the wavelength of the wave
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 wave
Chapter 16 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 16.1 - Prob. 16.1QQCh. 16.2 - A sinusoidal wave of frequency f is traveling...Ch. 16.2 - The amplitude of a wave is doubled, with no other...Ch. 16.3 - Suppose you create a pulse by moving the free end...Ch. 16.5 - Which of the following, taken by itself, would be...Ch. 16 - Prob. 1OQCh. 16 - Prob. 2OQCh. 16 - Prob. 3OQCh. 16 - Prob. 4OQCh. 16 - Prob. 5OQ
Ch. 16 - Prob. 6OQCh. 16 - Prob. 7OQCh. 16 - Prob. 8OQCh. 16 - Prob. 9OQCh. 16 - Prob. 1CQCh. 16 - Prob. 2CQCh. 16 - Prob. 3CQCh. 16 - Prob. 4CQCh. 16 - Prob. 5CQCh. 16 - Prob. 6CQCh. 16 - Prob. 7CQCh. 16 - Prob. 8CQCh. 16 - Prob. 9CQCh. 16 - A seismographic station receives S and P waves...Ch. 16 - Prob. 2PCh. 16 - Prob. 3PCh. 16 - Two points A and B on the surface of the Earth are...Ch. 16 - Prob. 5PCh. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - Prob. 8PCh. 16 - Prob. 9PCh. 16 - When a particular wire is vibrating with a...Ch. 16 - Prob. 11PCh. 16 - Prob. 12PCh. 16 - Prob. 13PCh. 16 - Prob. 14PCh. 16 - Prob. 15PCh. 16 - Prob. 16PCh. 16 - Prob. 17PCh. 16 - A sinusoidal wave traveling in the negative x...Ch. 16 - Prob. 19PCh. 16 - Prob. 20PCh. 16 - Prob. 21PCh. 16 - Prob. 22PCh. 16 - Prob. 23PCh. 16 - Prob. 24PCh. 16 - An Ethernet cable is 4.00 m long. The cable has a...Ch. 16 - Prob. 26PCh. 16 - Prob. 27PCh. 16 - Prob. 28PCh. 16 - Tension is maintained in a string as in Figure...Ch. 16 - Prob. 30PCh. 16 - Prob. 31PCh. 16 - Prob. 32PCh. 16 - Transverse waves are being generated on a rope...Ch. 16 - Prob. 34PCh. 16 - Prob. 35PCh. 16 - Prob. 36PCh. 16 - Prob. 37PCh. 16 - A horizontal string can transmit a maximum power...Ch. 16 - Prob. 39PCh. 16 - A two-dimensional water wave spreads in circular...Ch. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - Show that the wave function y = eb(x vt) is a...Ch. 16 - Prob. 44PCh. 16 - Prob. 45APCh. 16 - Prob. 46APCh. 16 - Prob. 47APCh. 16 - Prob. 48APCh. 16 - Prob. 49APCh. 16 - Prob. 50APCh. 16 - A transverse wave on a string is described by the...Ch. 16 - A sinusoidal wave in a string is described by the...Ch. 16 - Prob. 53APCh. 16 - Prob. 54APCh. 16 - Prob. 55APCh. 16 - Prob. 56APCh. 16 - Prob. 57APCh. 16 - Prob. 58APCh. 16 - A wire of density is tapered so that its...Ch. 16 - Prob. 60APCh. 16 - Prob. 61APCh. 16 - Prob. 62APCh. 16 - Prob. 63APCh. 16 - Prob. 64CPCh. 16 - Prob. 65CPCh. 16 - Prob. 66CPCh. 16 - Prob. 67CP
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 harmonic transverse wave function is given by y(x, t) = (0.850 m) sin (15.3x + 10.4t) where all values are in the appropriate SI units. a. What are the propagation speed and direction of the waves travel? b. What are the waves period and wavelength? c. What is the amplitude? d. If the amplitude is doubled, what happens to the speed of the wave?arrow_forwardThe equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0 sin (1.5x 45t), where x and y are in meters and the time t is in seconds. a. In what direction is the wave propagating? be. N What are the b. amplitude, c. wavelength, d. frequency, and e. propagation speed of the wave?arrow_forwardAs in Figure P18.16, a simple harmonic oscillator is attached to a rope of linear mass density 5.4 102 kg/m, creating a standing transverse wave. There is a 3.6-kg block hanging from the other end of the rope over a pulley. The oscillator has an angular frequency of 43.2 rad/s and an amplitude of 24.6 cm. a. What is the distance between adjacent nodes? b. If the angular frequency of the oscillator doubles, what happens to the distance between adjacent nodes? c. If the mass of the block is doubled instead, what happens to the distance between adjacent nodes? d. If the amplitude of the oscillator is doubled, what happens to the distance between adjacent nodes? FIGURE P18.16arrow_forward
- A standing wave on a string is described by the equation y(x, t) = 1.25 sin(0.0350x) cos(1450t), where x is in centimeters, t is in seconds, and the resulting amplitude is in millimeters. a. What is the length of the string if this standing wave represents the first harmonic vibration of the string? b. What is the speed of the wave on this string?arrow_forwardA string with a mass m = 8.00 g and a length L = 5.00 m has one end attached to a wall; the other end is draped over a small, fixed pulley a distance d = 4.00 m from the wall and attached to a hanging object with a mass M = 4.00 kg as in Figure P14.21. If the horizontal part of the string is plucked, what is the fundamental frequency of its vibration? Figure P14.21arrow_forwardA wave is described by y = 0.020 0 sin (kx - t), where k = 2.11 rad/m, = 3.62 rad/s, x and y are in meters, and t is in seconds. Determine (a) (he amplitude, (b) the wavelength, (c) the frequency, and (d) the speed of the wave.arrow_forward
- Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)arrow_forward(a) Plot y versus t at x = 0 for a sinusoidal wave of the form y = 0.150 cos (15.7x - 50.3t), where x and y are in meters and t is in seconds. (b) Determine the period of vibration.arrow_forwardA 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.arrow_forward
- A standing sine wave is the result of superposition of two sine waves given by the equations Y1 (x, t) = A sin(wt – kæ) and y2(x, t) = A sin(wt +kæ). The angular frequency is w = 100 rad/s and the k = 50 rad/m is the wave number. Page 2 (a) Calculate the new amplitude A'(x), if the original amplitude of the waves A = 2.5 cm. (b) A calculate the position of a particle at x = this phase angle. (1/4)A and t = (1/2)T that corresponds toarrow_forwardE16P7arrow_forwardQuestion 7. A wave of the form y = 3sin(6t) + 2cos(6t) can be expressed in the form y = Rcos(6t - a) Where - α≤ π If time t is measured in seconds, determine: (a) The amplitude of oscillation, (b) Phase angle (in radians), (c) The angular frequency, and (d) The fundamental period of the resulting waveform. Give all your answers correct to 2 decimal places.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
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