Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
error_outline
This textbook solution is under construction.
Students have asked these similar questions
Use 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).
On a real string of linear density μ, some of the energy of the wave dissipates as the wave travels down the string. Such a
situation can be described by a wave function y (x, t) whose amplitude A(x) depends on the position x, by
y (x, t) = A(x) sin(kx – wot), where A(x) = (Age¯b¾, for constant values AQ and b.
Derive an expression for the average power P(x) transported
by the wave as a function of x, where x > 0.
P(x) =
The period of oscillation T of a water surface wave isassumed to be a function of density ρ , wavelength l , depth h , gravity g , and surface tension Y . Rewrite this relationshipin dimensionless form. What results if Y is negligible?Hint: Take l , ρ , and g as repeating variables.
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
- Problem 9: A string of length L = 1.6 m and mass m = 0.025 kg is fixed between two stationary points, and when the string is played a transverse wave of frequency f = 101 Hz is generated. The wave is vibrating in an unknown harmonic.Randomized VariablesL = 1.6 mm = 0.025 kgf = 101 Hz Part (a) What is the strings linear density, ρ, in kilograms per meter? Part (b) If the wavelength is λ = 10.0 cm what is the tension in N?arrow_forwardA periodic, standing wave exists on a string of length L=3.69m. If a particular wave is measured to have a wave velocity of v=27.24 m/s, what is the frequency (in Hz) of the n=9 vibrational mode?arrow_forwardA sinusoidal wave of Vmax = 10 V and T= 40 ms periodic time, Calculate the following: Veff=Vrms of this wave: The frequency f : Write the equation of this wave using V=Vmax sin [ (2πf)]tarrow_forward
- Problem 1: For the following signal, find the fundamental period To and the fundamental frequency wo. Otherwise, prove that the signal is not periodic. f(t) = cos 6t+ sin 8t + ej²tarrow_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_forwardA string of length L = 2.5 m and mass m = 0.095 kg is fixed between two stationary points, and when the string is plucked a transverse wave of frequency f = 68 Hz is generated. What is the strings linear density, ρ, in kilograms per meter?arrow_forward
- Draw the first five standing wave harmonics in a string of length L = 2 m with tensionT = 90 N and density µ = 10 kg/m. What are the wavelengths λn and frequencies fnfor each of these harmonics?arrow_forwardA block of mass m, attached to a spring of force constant k, undergoes a simple harmonic motion on a horizontal frictionless surface. The mechanical energy of the block-spring system is E = 2.3 J. If its maximum speed is v_max = 2 m/s, then its mass is: Om = 1.28 kg m = 1.15 kg m = 0.8 kg Om = 1.38 kg ted by the wave function: y(x,t) = A sin (kx - wt + p).arrow_forwardA simple harmonic progressive wave of amplitude 2 mm and frequency 500 Hz travels with a velocity of 350 m/s in given medium. Write down the equation of the wave in S.I. units.arrow_forward
- A wave is modeled by the wave function: y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)] 1. Find the wavelength, wave number, wave velocity, period and wave frequency. 2. Construct on the computer, in the same graph, the dependence of y (x, t) from x on t = 0 and t = 5 s and the amplitude is A=0.4m. 3. After constructing the graph, make the appropriate interpretations and comments from the result that you got graphically. 4. How much is the wave displaced during the time interval from t = 0 to t = 5 s? Does it match this with the graph results? Justify your answer. Is the material transported long wave displacement? If yes, how much material is transported over time interval from t = 0 to t = 5 s? Comment on your answer. We now consider two sound waves with different frequencies which have to the same amplitude. The wave functions of these waves are as follows: y1 (t) = A sin (2πf1t) y2 (t) = A sin (2πf2t) 5. Find the resultant wave function analytically. 6. Study how the resulting wave…arrow_forwardA sinusoidal wave on a string is described by the wave function yy(xx,tt) = 0.02 sin(30xx − 400tt) (SIunits). If the string’s linear mass density is μμ = 0.005 kg/m, then the transmitted power is:arrow_forwardShow explicitly that the wave function, y (x, t) A cos(kx - wt), = satisfies the wave equation, 8² dx 2 y (x, t) = 1 8² v² Ət2 y(x, t). Write the explicit value of v as a function of the parameters of the wave function, w, k and A.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