Problem 4: Using the graph of a sin waves below estimate the phase difference A between the waves. We will do this by looking at the place where the waves intersect the x- axis on the right hand side of the y-axis. (a) Start by estimating the difference in time. (b) Now using the following equations find the frequency of the waves y, sin (5.00-£-,) and V₂=sin (5.00-1-₂) (note you only need one of these). (c) Now using the following Ao T 2-7 determine A. relationships = 6626 DE IN OTSING 3. -1.571 rad t₁=0.16-sec Al-4-4,-0.315 s Al Ao T 2.7 AOF AL Tu -2-r-1.575 rad MI TONE actual ₂.475-sec Wo-5.00 Jo- w 2-T T,= 1 H MEN 415 EDE E TE Lans rad see -0.796 -1.257 S TEN 1

Problem 4: Using the graph of a sin waves below estimate the phase difference A between the waves. We will do this by looking at the place where the waves intersect the x- axis on the right hand side of the y-axis. (a) Start by estimating the difference in time. (b) Now using the following equations find the frequency of the waves y, sin (5.00-£-,) and V₂=sin (5.00-1-₂) (note you only need one of these). (c) Now using the following Ao T 2-7 determine A. relationships = 6626 DE IN OTSING 3. -1.571 rad t₁=0.16-sec Al-4-4,-0.315 s Al Ao T 2.7 AOF AL Tu -2-r-1.575 rad MI TONE actual ₂.475-sec Wo-5.00 Jo- w 2-T T,= 1 H MEN 415 EDE E TE Lans rad see -0.796 -1.257 S TEN 1

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 111P: Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a...

See similar textbooks

Similar questions

Consider two wave functions that differ only by a phase shift, y1(x,t)=Acos(kxt) and y2(x,t)=Acos(kxt+) . Use the trigonometric cosu+cosv=2cos(uv2)cos(u+v2) and cos()=cos() to find a wave equation for the wave resulting from the superposition of the two waves. Does the resulting wave function come as a surprise to you?
Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a standing wave. The linear mass density of the string is =0.075 kg/m and the tension in the string is FT=5.00 N. The time interval between instances of total destructive interference is t=0.13 s. What is the wavelength of the waves?
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 7.00 cm, a wave number of k=3.00 m-1, an angular frequency of =2.50 s-1, and a period of 6.00 s, but one has a phase shift of an angle =12 rad. What is the height of the resultant wave at a time t=2.00 s and a position x=0.53 m?
A sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.
A steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are connected end to end and stretched to a tension of 150 N. During what time interval will a transverse wave travel the entire length of the two wires?
Two identical loudspeakers 10.0 m apart are driven by the same oscillator with a frequency of f = 21.5 Hz (Fig. P17.6) in an area where the speed of sound is 344 m/s. (a) Show that a receiver at point A records a minimum in sound intensity from the two speakers. (b) If the receiver is moved in the plane of the speakers, show that the path it should take so that the intensity remains at a minimum is along the hyperbola 9x2 16y2 = 144 (shown in red-brown in Fig. P17.6). (c) Can the receiver remain at a minimum and move very far away from the two sources? If so, determine the limiting form of the path it must take. If not, explain how far it can go. Figure P17.6
A string is fixed at both end. The mass of the string is 0.0090 kg and the length is 3.00 m. The string is under a tension of 200.00 N. The string is driven by a variable frequency source to produce standing waves on the string. Find the wavelengths and frequency of the first four modes of standing waves.
A bat sends of a sound wave 100 kHz and the sound waves travel through air at a speed of v=343 m/s. (a) If the maximum pressure difference is 1.30 Pa, what is a wave function that would model the sound wave, assuming the wave is sinusoidal? (Assume the phase shift is zero.) (b) What are the period and wavelength of the sound wave?
A speaker is placed at the opening of a long horizontal tube. The speaker oscillates at a frequency of f, creating a sound wave that moves down the tube. The wave moves through the tube at a speed of v=340.00 m/s. The sound wave is modeled with the wave function s(x,t)=smaxcos(kxt+) . At time t=0.00 s , an air molecule at x=2.3 m is at the maximum displacement of 6.34 nm. At the same time, another molecule at x=2.7 m has a displacement of 2.30 nm. What is the wave function of the sound wave, that is, find the wave number, angular frequency, and the initial phase shift?
At t = 0, a transverse pulse in a wire is described by the function y=6.00x2+3.00 where xand y are in meters. If the pulse is traveling in the positive x direction with a speed of 4.50 m/s, write the function y(x, t) that describes this pulse.
Consider a sound wave moving through the air modeled with the equation s(x,t)=6.00nmcos(54.93m1x18.84103s1t) . What is the shortest time required for an air molecule to move between 3.00 nm and -3.00 nm?