SUNY Stony Brook, PHY 131

Excerpt: ... Physics 131, Lecture 24 Abhay Deshpande Equation of a traveling wave, Superposition Principle, and Energy transport in a traveling wave Traveling waves Traveling waves ...

Cornell, ASTRO 342

Excerpt: ... ! and " ! are shifted in phase relative to p! , are proportional to p! , or are different in sign from p! . Does the answer, for either u ! or " ! , depend on whether the wave is traveling left (toward -x) or right (toward +x)? Make a sketch showing velocity and pressure correlations for a wave traveling in the +x direction. Indicate where acceleration is maximum. Make a similar sketch for a wave traveling in the x direction. Solution The momentum equation can be used to relate u ! to p! . It gives after linearization !% 1 !p( "! . $ + u ' u( = ) # !t !x & * !x Use a harmonic representation of solutions with complex notation. Let p! = Aei(kx " # t ) One finds 1 1 u! = Aei(kx # $ t ) . " c#u More simply, 1 1 p! , " c#u showing clearly that u ! and p! are proportional if c is positive (it is always assumed to be larger than u ). If c is negative, the wave travels to the left and u ! , p! are inversely proportional. u! = Similar analysis of density perturbations, using the heat equation to relate them to ...

Iowa State, GEOL 100

Excerpt: ... Geology 100L notes Lab 1: observing and measuring earth materials and processes. Pg 1-29 Geologist- study of earth *characterize and classify earth materials *identify relationships of cause (process) and effect (product) *form questions and hypothes ...

East Los Angeles College, PH 115

Excerpt: ... y c and let the function f (x) represent the profile of the wave at t = 0 (e.g. the solid curve in fig.26). If the wave travels without distortion then at time t it will be represented by 23 For any function f (x), f (x - x0 ) represents the same curve, but shifted to the right by x0 . Similarly f (x + x0 ) represents the same profile but shifted to the left by x0 . Now imagine an impulse or wave travelling to the right with velocity c and let the function f (x) represent the profile of the wave at t = 0 (e.g. the solid curve in fig.26). If the wave travels without distortion then at time t it will be represented by y(x, t) = f (x - ct). 24 For any function f (x), f (x - x0 ) represents the same curve, but shifted to the right by x0 . Similarly f (x + x0 ) represents the same profile but shifted to the left by x0 . Now imagine an impulse or wave travelling to the right with velocity c and let the function f (x) represent the profile of the wave at t = 0 (e.g. the solid curve in fig.26). If t ...

Wilfrid Laurier, PHYS 369

Excerpt: ... Thursday, October 30, Lecture Summary Doppler shift (or Doppler effect): We can combine all four equations for the Doppler shift that we derived last day into a single equation if we define a sign convention for the velocity of the listener, vL, and ...

Rose-Hulman, ECE 341

Excerpt: ... 1 EM waves incident on boundaries (oblique incidence) Now consider an EM wave, traveling in region 1, which encounters a second region at an angle other than normal. In this case, we must consider two types of polarization. 1. 2. Perpendicular polarization: E to plane of incidence (POI). Parallel polarization: E to POI E POI E to POI Definitions POI plane formed by propagation vector, , and the vector normal to the boundary between regions 1 and 2. Polarization: in general, any non-random orientation of an electric and magnetic field. In particular, polarization more usually describes the path the electric vector takes, in planes of constant phase as the wave travels . Note: Were considering only linear polarization, where the electric vector points in one direction. It reaches its maximum positive, grows smaller, becomes zero then negative, becomes maximum negative, grows smaller, becomes zero, etc. That is the vector remains on a straight linethus, linear polarization. Any TEM wave c ...

Lehigh, PHYSICS 21

Excerpt: ... Physics 21 Fall 2007 Solution to HW-21 Solution to HW-22 K 20-53 Researchers monitor global warming by measuring the time it takes sound pulses to travel underwater over large distances. At a depth of 1000 m, where ocean temperatures hold steady near 4 oC, the average sound speed is 1480 m/s, and the sound speed increases 4.0 m/s for every 1.0 oC increase in temperature. Suppose the sound waves travel 7900 km. If the smallest time change that can be reliably detected is 1.0 s, what is the smallest change in average temperature that can be measured? K 20-7 The wave speed on a string under tension is190 m/s. What is the speed if the tension T is doubled? From Eq. (3) in Waves Handout, v = sqrt(T/), so if T is doubled, v increases by sqrt(2). K 20-11 A wave travels with speed 220 m/s. Its wave number is 1.50 rad/m. What is its (A) wavelength and (B) frequency? (A) wavenumber k = 2 /, so = 2 /k (B) Use v = f . v was given, and was calculated in (A). K 20-13 The displacement of a wave traveling in the ...

Uni. Worcester, PH 1140

Excerpt: ... Worcester Polytechnic Institute PH 1140 Experiment #10: Acoustic Wave Resonances ReadMeFirst, Experiment #10, Overview In today's experiment you will be studying acoustic wave resonances in open and halfclosed tubes a situation, as it turns out, which builds rather nicely on the stringresonance experiments that you have previously done. But the equipment cost for outfitting 14 identical stations for this experiment is rather pricey, so while we are still weighing the pros and cons of this experiment instead of some alternatives, we're going to try to make the important points through a one-set-up, group-participation-experiment. So hang on, maybe take some notes and for sure write down results when so instructed, and chime in when given the opportunity to participate. The guiding theory, v = f (where f is the frequency of the wave, is the wavelength of the wave, and v is the speed with which the wave travels through its supporting medium), is as true for acoustic waves as for waves on a string under tensio ...

Georgia Tech, EAS 1600

Excerpt: ... EAS 1600 Introduction to Environmental Sciences Recall: The Earth's interior can be roughly divided into 3 zones: the crust the mantle; and the core inner (solid) core outer (liquid) core Unlike the ocean and the atmosphere, we are not able to direc ...

Tulane, PHYS 101

Excerpt: ... 10/17/07 PHYS 101-20 Lab #5 Velocity of Sound Objective: To use resonance points of a sound wave traveling through an open tube to measure the speed of sound in air. A standing wave is a stationary pattern produced by the interference of waves bouncing back and forth in a confined space. If a sound source is brought close to the top of a tube, a sound wave travels down the tube, reflects off of the water surface, and returns towards the top of the tube. The wave moving down and the wave moving up form an interference pattern that can be constructive or destructive. Constructive interference causes amplitude, a large increase in volume, which is caused by resonance. Equations: 1) x = L + /2 + L 2) = [4/(2n-1)] L 3) V = f x = distance wave travels = wavelength L = tube length n = some integer V = velocity (m/s) f = frequency (hertz) To begin the experiment, fill a tube and metal cup, connected together with a rubber hose, with water. Bring the water level to around 5 cm from the top of the tube. Strike ...

BYU, ECE 563

Excerpt: ... ECEn 563 Computational Electromagnetics Homework #13 Due Oct. 21, 2008 at the beginning of class Implement the polyarc method described in the notes for meshing shapes with flat or curved sides. Compute the bistatic scattering width for a square PEC ...

University of Florida , PHY 2061

Excerpt: ... Lecture 26 Refraction and interference Chapter 39/41 - Tuesday April 24th Discussion of exam statistics Review of traveling waves Refraction and Snell's law Wave superposition and wave interference Two slit interference Final exam is Tuesday May 1st ...