Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 14.3, Problem 3EYU
A particular harmonic wave is described by the following equation: y(x, t) = (0.12 m) cos(π x/4 − 8π t). In this expression, x is measured in meters, and t is measured in seconds. What are the (a) amplitude, (b) wavelength, and (c) period for this wave?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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
In deep water, the speed of surface waves is described by the relationship v = g/w,
where w is the angular frequency. If a wave has a period of 3.00 s, what is its
wavelength?
A wave is modeled by the wave function y(x, t) = (0.30 m)sin[2π/(4.50m) (x − 18.00 m/s (t))]. What are the amplitude, wavelength, wave speed, period, and frequency of the wave?
Chapter 14 Solutions
Physics (5th Edition)
Ch. 14.1 - Rank the following systems in order of increasing...Ch. 14.2 - Suppose the tension in a string is doubled, its...Ch. 14.3 - A particular harmonic wave is described by the...Ch. 14.4 - Which is faster: wave 1 in medium 1 with a...Ch. 14.5 - Enhance Your Understanding (Answers given at the...Ch. 14.6 - Observer 1 approaches a stationary 1000-Hz source...Ch. 14.7 - Prob. 7EYUCh. 14.8 - When a string oscillates with the standing wave...Ch. 14.9 - Rank the following systems in order of increasing...Ch. 14 - A long nail has been driven halfway into the side...
Ch. 14 - What type of wave is exhibited by amber waves of...Ch. 14 - In a classic TV commercial, a group of cats feed...Ch. 14 - Describe how the sound of a symphony played by an...Ch. 14 - A radar gun is often used to measure the speed of...Ch. 14 - When you drive a nail into a piece of wood, you...Ch. 14 - Explain the function of the sliding part of a...Ch. 14 - On a guitar, some strings are single wires, others...Ch. 14 - Prob. 9CQCh. 14 - A wave travels along a stretched horizontal rope....Ch. 14 - To determine: The speed of the waves Answer: The...Ch. 14 - The speed of surface waves in water decreases as...Ch. 14 - Prob. 4PCECh. 14 - A stationary boat bobs up and down with a period...Ch. 14 - Predict/Calculate A 4.5-Hz wave with an amplitude...Ch. 14 - Deepwater Waves The speed of a deepwater wave with...Ch. 14 - Prob. 8PCECh. 14 - Consider a wave on a string with constant tension....Ch. 14 - Suppose you would like to double the speed of a...Ch. 14 - Predict/Explain Two strings are made of the same...Ch. 14 - Predict/Explain Two strings are made of the same...Ch. 14 - Prob. 13PCECh. 14 - A brother and sister try to communicate with a...Ch. 14 - Predict/Calculate (a) Suppose the tension is...Ch. 14 - Prob. 16PCECh. 14 - A 4.5-m-long rope of mass 1.8 kg hangs from a...Ch. 14 - Two steel guitar strings have the same length....Ch. 14 - Use dimensional analysis to show how the speed v...Ch. 14 - Prob. 20PCECh. 14 - Write an expression for a transverse harmonic wave...Ch. 14 - The vertical displacement of a wave on a string is...Ch. 14 - As it travels through a crystal, a light wave is...Ch. 14 - Predict/Calculate A wave on a string is described...Ch. 14 - Consider a harmonic wave with the following wave...Ch. 14 - Predict/Calculate Four waves are described by the...Ch. 14 - To determine: The distance of the cliff form the...Ch. 14 - BIO Dolphin Ultrasound Dolphins of the open ocean...Ch. 14 - Prob. 29PCECh. 14 - Prob. 30PCECh. 14 - Predict/Calculate A sound wave in air has a...Ch. 14 - Prob. 32PCECh. 14 - A rock is thrown downward into a well that is 7.62...Ch. 14 - If the distance to a point source of sound is...Ch. 14 - The intensity level of sound in a truck is 88 dB....Ch. 14 - Prob. 36PCECh. 14 - Sound 1 has an intensity of 48.0 W/m2. Sound 2 has...Ch. 14 - Prob. 38PCECh. 14 - Residents of Hawaii are warned of the approach of...Ch. 14 - In a pig-calling contest, a caller produces a...Ch. 14 - Prob. 41PCECh. 14 - BIO The Human Eardrum The radius of a typical...Ch. 14 - Predict/Explain A horn produces sound with...Ch. 14 - You are heading toward an island in your speedboat...Ch. 14 - When the bell in a clock tower rings with a sound...Ch. 14 - A car approaches a train station with a speed of...Ch. 14 - BIO A bat moving with a speed of 3.25 m/s and...Ch. 14 - A motorcycle and a police car are moving toward...Ch. 14 - Hearing the siren of an approaching fire truck,...Ch. 14 - Prob. 50PCECh. 14 - Predict/Calculate Two bicycles approach one...Ch. 14 - A train on one track moves in the same direction...Ch. 14 - Two cars traveling with the same speed move...Ch. 14 - The Bullet Train The Shinkansen, the Japanese...Ch. 14 - Prob. 55PCECh. 14 - Prob. 56PCECh. 14 - A pair of in-phase stereo speakers is placed side...Ch. 14 - Predict/Calculate Two violinists, one directly...Ch. 14 - Two loudspeakers are placed at either end of a...Ch. 14 - Prob. 60PCECh. 14 - Prob. 61PCECh. 14 - Prob. 62PCECh. 14 - An organ pipe that is open at both ends is 3.5 m...Ch. 14 - A string 2.5 m long with a mass of 3.6 g is...Ch. 14 - Prob. 65PCECh. 14 - The fundamental wavelength for standing sound...Ch. 14 - A string is tied down at both ends. Some of the...Ch. 14 - Prob. 68PCECh. 14 - A guitar string 66 cm long vibrates with a...Ch. 14 - Predict/Calculate A guitar string has a mass per...Ch. 14 - Prob. 71PCECh. 14 - The organ pipe in Figure 14-49 is 2.75 m long. (a)...Ch. 14 - The frequency of the standing wave shown in Figure...Ch. 14 - An organ pipe open at both ends has a harmonic...Ch. 14 - When guitar strings A and B are plucked at the...Ch. 14 - Prob. 76PCECh. 14 - You have three tuning forks with frequencies of...Ch. 14 - Tuning a Piano To tune middle C on a piano, a...Ch. 14 - Two musicians are comparing their clarinets. The...Ch. 14 - Predict/Calculate Two strings that are fixed at...Ch. 14 - Identical cellos are being tested. One is...Ch. 14 - A friend in another city tells you that she has...Ch. 14 - Prob. 83GPCh. 14 - The fundamental of an organ pipe that is closed at...Ch. 14 - The Loudest Animal The loudest sound produced by a...Ch. 14 - Hearing a Good Hit Physicist Robert Adair, once...Ch. 14 - Prob. 87GPCh. 14 - Playing Harmonics When a 63-cm-long guitar string...Ch. 14 - BIO Measuring Hearing Loss To determine the amount...Ch. 14 - BIO Hearing a Pin Drop The ability to hear a pin...Ch. 14 - A cannon 105 m away from you shoots a cannonball...Ch. 14 - A machine shop has 120 equally noisy machines that...Ch. 14 - Predict/Calculate A bottle has a standing wave...Ch. 14 - Speed of a Tsunami Tsunamis can have wavelengths...Ch. 14 - Two trains with 124-Hz horns approach one another....Ch. 14 - Predict/Calculate Jim is speeding toward James...Ch. 14 - Two ships in a heavy fog are blowing their horns,...Ch. 14 - BIO Cracking Your Knuckles When you crack a...Ch. 14 - A steel guitar string has a tension F, length L,...Ch. 14 - A Slinky has a mass of 0.28 kg and negligible...Ch. 14 - BIO Predict/Calculate OSHA Noise Standards OSHA,...Ch. 14 - An organ pipe 3.4 m long is open at one end and...Ch. 14 - Two identical strings with the same tension...Ch. 14 - BIO The Love Song of the Midshipman Fish When the...Ch. 14 - Prob. 105GPCh. 14 - Beats and Standing Waves In Problem 59, suppose...Ch. 14 - Prob. 107PPCh. 14 - Prob. 108PPCh. 14 - Prob. 109PPCh. 14 - Prob. 110PPCh. 14 - Prob. 111PPCh. 14 - Referring to Example 14-11 Suppose the train is...Ch. 14 - Prob. 113PPCh. 14 - Prob. 114PP
Additional Science Textbook Solutions
Find more solutions based on key concepts
Why is petroleum jelly used in the hanging-drop procedure?
Laboratory Experiments in Microbiology (12th Edition) (What's New in Microbiology)
Starting with 10 bacterial cells per milliliter in a sufficient amount of complete culture medium with a 1-hour...
Microbiology with Diseases by Body System (5th Edition)
15. A good scientific hypothesis is based on existing evidence and leads to testable predictions. What hypothes...
Campbell Biology: Concepts & Connections (9th Edition)
Which culture produces the most lactic acid? Use the following choices to answer questions. a. E. coli growing ...
Microbiology: An Introduction
10.71 Identify each of the following as an acid or a base: (10.1)
H2SO4
RbOH
Ca(OH)2
HI
...
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Why are the top predators in food chains most severely affected by pesticides such as DDT?
Campbell Essential Biology with Physiology (5th 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
- 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_forwardRank the waves represented by the following functions from the largest to the smallest according to (i) their amplitudes, (ii) their wavelengths, (iii) their frequencies, (iv) their periods, and (v) their speeds. If the values of a quantity are equal for two waves, show them as having equal rank. For all functions, x and y are in meters and t is in seconds. (a) y = 4 sin (3x 15t) (b) y = 6 cos (3x + 15t 2) (c) y = 8 sin (2x + 15t) (d) y = 8 cos (4x + 20t) (e) y = 7 sin (6x + 24t)arrow_forwardA 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_forward
- A wave is described by y(x,t) = 0.1 sin(3x - 10t), where x is in meters, y is in centimeters and t is in seconds. The angular frequency is: O 20pi rad/s O 10pi rad/s O 0.10 rad/s O 3.0 rad/s O 10 rad/sarrow_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_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. b) calculate the frequency of the wavearrow_forward
- A certain transverse wave is described by y(x,t)=Bcos[2π(xL−tτ)]y(x,t)=Bcos[2π(x/L−t/τ)], where B = 6.30 mm, LLlambda = 30.0 cm, and τ = 3.20×10−2 ss. Determine the wave's amplitude. Express your answer in meters. Determine the wave's wavelength. Express your answer in meters. Determine the wave's frequency. Express your answer in hertzes . Determine the wave's speed of propagation. Express your answer in meters per second. Determine the wave's direction of propagation. +x or -x?arrow_forwardq1arrow_forwardTwo sinusoidal waves, which are identical except for a phase shift, travel along in the same direction. The wave equation of the resultant wave is yR (x, t) = 0.70 m sin(3.00 m−1 x − 6.28 s−1 (t) + π/16 rad). What are the angular frequency, wave number, amplitude, and phase shift of the individual waves?arrow_forward
- A spherical wave with a wavelength of 4.1 m is emitted from the origin. At one instant of time, the phase at x1 = 5.1 m is ?1ϕ1= ?π rad. At that instant, what is the phase (In radians) at x2 = 4 m?arrow_forwardThe amplitude of a wave disturbance M20 (1 positive x-direction is given by y = Tetromabruts esd (1+x)² by y = 1 ad m travelling in the at time t = 0 and [1 + (x − 1)²] - at t = 2 s, where x and y are in metre. The shape of the wave disturbance does not change during the propagation. The velocity of the wave is...... m/s.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
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY