Waves. Wave Parameters. Krauss Chapter Nine

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Waves. Wave Parameters. Krauss Chapter Nine"

Transcription

1 Waves Krauss Chapter Nine Wave Parameters Wavelength = λ = Length between wave crests (or troughs) Wave Number = κ = 2π/λ (units of 1/length) Wave Period = T = Time it takes a wave crest to travel one wavelength (units of time) Angular Frequency = ω = 2π/T (units of 1/time) Wave Speed = C = ω/κ Distance a wave crest travels per unit time (units of distance/time) Wave Height = 2a = Twice the wave amplitude Wave Steepness = Wave Height/Wavelength 1

2 - Ideal waves Propagate Energy but not Mass Wave Equation Navier-Stokes Equation Ignoring viscous forces and looking just at the x and z components Expanding the terms 2

3 Eq. 1 Eq. 2 These equations used to establish boundary conditions (see Krauss) Eq. 3 This expression solved to obtain wave equation (see Krauss) Guess a solution for Eq. 3 of the form Eq. 4 Plug Eq. 4 into Eq. 3 to yield the following differential equation Eq. 5 Eq. 5 One solution to Eq. 5 is So Eq. 6 The lower boundary condition requires that w (or dφ/dz) go to zero at z = h (h is the seafloor depth) (see Krauss) The boundary condition at the free surface must satisfy the following expression (see Krauss) The lower boundary condition requires B=0 The free surface boundary condition requires (see Krauss) Eq. 7 3

4 Eq. 7 or or Also known as the dispersion relation of Lamb (1945) or Given that the phase velocity can be written as C = ω/κ it follows that Phase velocity as a function of wave number and water depth note Therefore For h < λ/20 For h > λ/2 4

5 Wave Speeds - Deep-Water Waves (Bottom Depth > λ/2) Speed is a Function of Wavelength Only Waves with Longer Wavelength move faster than Waves with Shorter Wavelength Shallow-Water Waves (Bottom Depth < λ /20) Speed is a Function of Depth Only Waves Travel Slower in Shallower Water Irrespective of Wavelength as long as Depth < λ /20 Deep-Water and Shallow-Water Wave Regions 5

6 Speed of Deep-Water and Shallow- Water Waves as a Function of Wavelength and Depth Important Consequences of Wave Speed Dependency on Wavelength or Bottom Depth 6

7 Wave Dispersion: Self Sorting of Deep-Water Waves Leaving a Storm Region based on Wavelength. It Occurs Because Longer Wavelength Waves Travel Faster than Shorter Wavelength Waves (for Deep Water). Wave Refraction: Bending of Shallow-Water Wave Fronts Due to Change in Bottom Depth. The Leading Edge of a Wave Front Enters Shallower Water and Slows While the Remaining Front Continues at Higher Speed. The Net Result is a Rotation of Wave Fronts To Become Parallel with Bottom Depth Contours. 7

8 Consequence of Wave Refraction Focusing and Defocusing of Wave Energy on Headlands and Bays, Respectively Group Velocity 8

9 Group Velocity Group Velocity using a trigonometric rule recall Wave Speed = C = ω/κ for: Then by analogy In the limit 9

10 C = ω/κ or ω = C κ The Main Point: Group velocity for Deep Water Waves is 1/2 the phase velocity. Group velocity for Shallow Water Waves is equal to the phase velocity. Wave Spectra 10

11 Spectral Analysis Time Domain to Frequency Domain Transformation Spectral Analysis Two Sine Waves at 260 Hz and 525 Hz, Respectively 11

12 Spectral Analysis Time Series derived from the Summation of the Two Sine Waves Spectral Analysis Fourier Transform from Time Domain to Frequency Domain of Previous Time Series 12

13 Distribution of Wave Energy in the Ocean as a Function of Wave Frequency or Wavelength 13

14 Aliasing in Wave Sampling 14

15 Wave Generation Wave Height of Wind-Generated Waves is a Function of 1. Wind Speed 2. Duration of Wind Event 3. Fetch - the distance over which wind can blow without obstruction Full Developed Waves (Unlimited by Fetch and Duration) 15

16 The Importance of Fetch Northerly/Southerly Winds Produce a Long Fetch Over Finger Lakes (A), and Easterly/Westerly Winds Produce a Short Fetch (B) A B Fetch in the Open Ocean is Limited by the Size of the Storm System 16

17 Lateral Spreading of Wave Energy from a Storm Source (95% of Energy Contained Within ±45 o of Storm Direction) 17

Waves: Undulatory Motion of a Water Surface

Waves: Undulatory Motion of a Water Surface Key Ideas Wind waves form when energy is transferred from wind to water. Waves transmit energy, not water mass, across the ocean s surface. The behavior of a wave depends on the relation between the wave

More information

OS 101 Marine Environment Winter Ocean Waves

OS 101 Marine Environment Winter Ocean Waves OS 101 Marine Environment Winter 2006 Ocean Waves I. Some General Considerations about Waves Perhaps the easiest way to think about waves moving across the ocean is to imagine that we are at the edge of

More information

Announcements. Exam 1 results

Announcements. Exam 1 results Announcements Exam results Exams graded we ll go over them today No office hours on Thursday Next project due online Nov. st Gale Warnings issued today Appropriately, this week is all about waves! Today:

More information

Oceans Practice Questions and Answers Revised August 2008

Oceans Practice Questions and Answers Revised August 2008 Oceans Practice Questions and Answers Revised August 2008 1. In the following illustration what do you call the land that borders the oceans? All of the landmass to the left of this line lies adjacent

More information

A. Deep-Water Waves. 1. Wave Speed (S) = wavelength (L) meters wave period (T) seconds. OCE-3014L Lab 7 Waves & Longshore Currents

A. Deep-Water Waves. 1. Wave Speed (S) = wavelength (L) meters wave period (T) seconds. OCE-3014L Lab 7 Waves & Longshore Currents A. Deep-Water Waves If the water depth (d) is greater then the wave base (equal to one-half the wavelength, or L/2), the waves are called deep-water waves. Deep-water waves have no interference with the

More information

And although two objects like these bumper boats cannot be in the same place on the water at the same time, water waves can. Why is that?

And although two objects like these bumper boats cannot be in the same place on the water at the same time, water waves can. Why is that? Physics 1103 Wave Interactions (picture of beach on screen) Today, we go back to the beach to investigate more wave interactions. For example, what makes these waves change direction as they approach the

More information

Waves disturbances caused by the movement of energy from a source through some medium.

Waves disturbances caused by the movement of energy from a source through some medium. Oceanography Chapter 10 Waves disturbances caused by the movement of energy from a source through some medium. Floating Gull- Figure 10.1 water is not moving only the energy is moving through the water.

More information

Physical Science Study Guide Unit 7 Wave properties and behaviors, electromagnetic spectrum, Doppler Effect

Physical Science Study Guide Unit 7 Wave properties and behaviors, electromagnetic spectrum, Doppler Effect Objectives: PS-7.1 Physical Science Study Guide Unit 7 Wave properties and behaviors, electromagnetic spectrum, Doppler Effect Illustrate ways that the energy of waves is transferred by interaction with

More information

Wave Vocabulary- 25 words 1. WAVE 2. MEDIUM 3. MECHANICAL WAVE 4. ELECTROMAGNETIC WAVES 5. ENERGY 6. TRANSVERSE WAVES 7. LONGITUDINAL WAVES 8.

Wave Vocabulary- 25 words 1. WAVE 2. MEDIUM 3. MECHANICAL WAVE 4. ELECTROMAGNETIC WAVES 5. ENERGY 6. TRANSVERSE WAVES 7. LONGITUDINAL WAVES 8. WAVES Chapter 11 Wave Vocabulary- 25 words 1. WAVE 2. MEDIUM 3. MECHANICAL WAVE 4. ELECTROMAGNETIC WAVES 5. ENERGY 6. TRANSVERSE WAVES 7. LONGITUDINAL WAVES 8. CREST 9. TROUGH 10. INTERFERENCE 11. CONSTRUCTIVE

More information

introduction to waves on page 3.) This animation can be created with Microsoft PowerPoint (PC) or Apple Keynote (Mac).

introduction to waves on page 3.) This animation can be created with Microsoft PowerPoint (PC) or Apple Keynote (Mac). Lesson Plan 22 Making Waves In deep water,* every water molecule moves in a circular orbit and returns to its starting position as a wave passes by. In this activity, students build a simple computer model

More information

Greens functions - solution for earthʼs surface movement due to a slipping patch at depth

Greens functions - solution for earthʼs surface movement due to a slipping patch at depth Greens functions - solution for earthʼs surface movement due to a slipping patch at depth Need to know slip distribution along the fault as a function of time No closed-form solution for Greens functions

More information

Unit 4 Sound and Waves

Unit 4 Sound and Waves Name: Class: Date: Unit 4 Sound and Waves Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The speed of any mechanical wave as it propagates through a medium

More information

Waves and Sound Part 1

Waves and Sound Part 1 Waves and Sound Part 1 Intro Write the following questions on a blank piece of paper (don t answer yet) 1. What is the difference between a mechanical and electromagnetic wave? 2. What is the difference

More information

Lesson 19: Mechanical Waves!!

Lesson 19: Mechanical Waves!! Lesson 19: Mechanical Waves Mechanical Waves There are two basic ways to transmit or move energy from one place to another. First, one can move an object from one location to another via kinetic energy.

More information

MODULE VII LARGE BODY WAVE DIFFRACTION

MODULE VII LARGE BODY WAVE DIFFRACTION MODULE VII LARGE BODY WAVE DIFFRACTION 1.0 INTRODUCTION In the wave-structure interaction problems, it is classical to divide into two major classification: slender body interaction and large body interaction.

More information

16.2 Periodic Waves Example:

16.2 Periodic Waves Example: 16.2 Periodic Waves Example: A wave traveling in the positive x direction has a frequency of 25.0 Hz, as in the figure. Find the (a) amplitude, (b) wavelength, (c) period, and (d) speed of the wave. 1

More information

Unit 6 Practice Test: Sound

Unit 6 Practice Test: Sound Unit 6 Practice Test: Sound Name: Multiple Guess Identify the letter of the choice that best completes the statement or answers the question. 1. A mass attached to a spring vibrates back and forth. At

More information

Lecture 10 ATOC 5051 INTRODUCTION TO PHYSICAL OCEANOGRAPHY

Lecture 10 ATOC 5051 INTRODUCTION TO PHYSICAL OCEANOGRAPHY ATOC 5051 INTRODUCTION TO PHYSICAL OCEANOGRAPHY Lecture 10 Learning objectives: understand gravity waves & their roles in oceanic adjustment (for f=0); should be able to explain wave refraction & breaking

More information

PHYS 101-4M, Fall 2005 Exam #3. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

PHYS 101-4M, Fall 2005 Exam #3. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. PHYS 101-4M, Fall 2005 Exam #3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A bicycle wheel rotates uniformly through 2.0 revolutions in

More information

Angle of an incident (arriving) ray or particle to a surface; measured from a line perpendicular to the surface (the normal) Angle of incidence

Angle of an incident (arriving) ray or particle to a surface; measured from a line perpendicular to the surface (the normal) Angle of incidence The maximum displacement of particles of the medium from their mean positions during the propagation of a wave Angle of an incident (arriving) ray or particle to a surface; measured from a line perpendicular

More information

Answer the following questions during or after your study of Wave Properties. 4. How are refraction and the speed of wave in different media related?

Answer the following questions during or after your study of Wave Properties. 4. How are refraction and the speed of wave in different media related? Wave Properties Student Worksheet Answer the following questions during or after your study of Wave Properties. 1. A person standing 385 m from a cliff claps her hands loudly, only to hear the sound return

More information

Doppler. Doppler. Doppler shift. Doppler Frequency. Doppler shift. Doppler shift. Chapter 19

Doppler. Doppler. Doppler shift. Doppler Frequency. Doppler shift. Doppler shift. Chapter 19 Doppler Doppler Chapter 19 A moving train with a trumpet player holding the same tone for a very long time travels from your left to your right. The tone changes relative the motion of you (receiver) and

More information

Copyright 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

Copyright 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Chapter 20. Traveling Waves You may not realize it, but you are surrounded by waves. The waviness of a water wave is readily apparent, from the ripples on a pond to ocean waves large enough to surf. It

More information

Waves-Wave Characteristics

Waves-Wave Characteristics 1. What is the wavelength of a 256-hertz sound wave in air at STP? 1. 1.17 10 6 m 2. 1.29 m 3. 0.773 m 4. 8.53 10-7 m 2. The graph below represents the relationship between wavelength and frequency of

More information

Refractive Index and Dispersion: Prism Spectrometer

Refractive Index and Dispersion: Prism Spectrometer Refractive Index and Dispersion: Prism Spectrometer OBJECTIVES: The purpose of this experiment is to study the phenomenon of dispersion i.e. to determine the variation of refractive index of the glass

More information

Name Class Date. A wave is produced that moves out from the center in an expanding circle. The wave

Name Class Date. A wave is produced that moves out from the center in an expanding circle. The wave Exercises 25.1 Vibration of a Pendulum (page 491) 1. The time it takes for one back-and-forth motion of a pendulum is called the period. 2. List the two things that determine the period of a pendulum.

More information

physics 1/12/2016 Chapter 20 Lecture Chapter 20 Traveling Waves

physics 1/12/2016 Chapter 20 Lecture Chapter 20 Traveling Waves Chapter 20 Lecture physics FOR SCIENTISTS AND ENGINEERS a strategic approach THIRD EDITION randall d. knight Chapter 20 Traveling Waves Chapter Goal: To learn the basic properties of traveling waves. Slide

More information

Chapter 23 Multiple Choice Test

Chapter 23 Multiple Choice Test Name: Class: Date: Chapter 23 Multiple Choice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A unit of motion repeated over and over again is called

More information

ebb current, the velocity alternately increasing and decreasing without coming to

ebb current, the velocity alternately increasing and decreasing without coming to Slack water (slack tide): The state of a tidal current when its velocity is near zero, especially the moment when a reversing current changes its direction and its velocity is zero. The term is also applied

More information

F en = mω 0 2 x. We should regard this as a model of the response of an atom, rather than a classical model of the atom itself.

F en = mω 0 2 x. We should regard this as a model of the response of an atom, rather than a classical model of the atom itself. The Electron Oscillator/Lorentz Atom Consider a simple model of a classical atom, in which the electron is harmonically bound to the nucleus n x e F en = mω 0 2 x origin resonance frequency Note: We should

More information

Fourier Analysis Last Modified 9/5/06

Fourier Analysis Last Modified 9/5/06 Measurement Lab Fourier Analysis Last Modified 9/5/06 Any time-varying signal can be constructed by adding together sine waves of appropriate frequency, amplitude, and phase. Fourier analysis is a technique

More information

Solution: F = kx is Hooke s law for a mass and spring system. Angular frequency of this system is: k m therefore, k

Solution: F = kx is Hooke s law for a mass and spring system. Angular frequency of this system is: k m therefore, k Physics 1C Midterm 1 Summer Session II, 2011 Solutions 1. If F = kx, then k m is (a) A (b) ω (c) ω 2 (d) Aω (e) A 2 ω Solution: F = kx is Hooke s law for a mass and spring system. Angular frequency of

More information

Physics 9 Fall 2009 Homework 2 - Solutions

Physics 9 Fall 2009 Homework 2 - Solutions Physics 9 Fall 009 Homework - s 1. Chapter 7 - Exercise 5. An electric dipole is formed from ±1.0 nc charges spread.0 mm apart. The dipole is at the origin, oriented along the y axis. What is the electric

More information

University Physics 226N/231N Old Dominion University Wave Motion, Interference, Reflection (Chapter 14)

University Physics 226N/231N Old Dominion University Wave Motion, Interference, Reflection (Chapter 14) University Physics 226N/231N Old Dominion University Wave Motion, Interference, Reflection (Chapter 14) Dr. Todd Satogata (ODU/Jefferson Lab) http://www.toddsatogata.net/2012-odu Monday November 26, 2012

More information

Temporal Fourier (t f) transformation Spatial Fourier (x k x ) transformation applications f-k x transformation Radon(τ-p x ) transformation

Temporal Fourier (t f) transformation Spatial Fourier (x k x ) transformation applications f-k x transformation Radon(τ-p x ) transformation Temporal Fourier (t f) transformation Spatial Fourier (x k x ) transformation applications f-k x transformation Radon(τ-p x ) transformation Linear Radon transform Parabolic Radon transform t domain Time

More information

Manufacturing Equipment Modeling

Manufacturing Equipment Modeling QUESTION 1 For a linear axis actuated by an electric motor complete the following: a. Derive a differential equation for the linear axis velocity assuming viscous friction acts on the DC motor shaft, leadscrew,

More information

CHAPTER 14 WAVE & Sound

CHAPTER 14 WAVE & Sound CHAPTER 14 WAVE & Sound COURSE CONTENT Properties of waves Definition Types of waves Wavelength Amplitude Frequency Waves are everywhere in nature Sound waves, visible light waves, radio waves, microwaves,

More information

Waves. Sec Wave Properties. Waves are everywhere in nature. What is a wave? Example: Slinky Wave

Waves. Sec Wave Properties. Waves are everywhere in nature. What is a wave? Example: Slinky Wave Waves PART I Wave Properties Wave Anatomy PART II Wave Math Wave Behavior PART III Sound Waves Light Waves (aka Electromagnetic Waves or Radiation) 1 Sec. 14.1 Wave Properties Objectives Identify how waves

More information

Antennas & Propagation. CS 6710 Spring 2010 Rajmohan Rajaraman

Antennas & Propagation. CS 6710 Spring 2010 Rajmohan Rajaraman Antennas & Propagation CS 6710 Spring 2010 Rajmohan Rajaraman Introduction An antenna is an electrical conductor or system of conductors o Transmission - radiates electromagnetic energy into space o Reception

More information

Waves Physics Leaving Cert Quick Notes

Waves Physics Leaving Cert Quick Notes Waves Physics Leaving Cert Quick Notes Waves A wave is a means of transferring energy from one point to another Waves can be classified as mechanical where the wave must have a medium to travel through,

More information

Energy of Waves. Book O Chapter 1

Energy of Waves. Book O Chapter 1 Energy of Waves Book O Chapter 1 A wave can make a leaf bob up and down on the water, but it cannot move the leaf toward the shore. This is because waves only transfer A. Media B. Crests C. Energy D. Matter

More information

Section 3 Waves and Tides

Section 3 Waves and Tides Section 3 Waves and Tides Key Concept Energy is carried through the ocean by tides, which are caused by gravitational attraction between Earth, the moon, and the sun, and by waves. What You Will Learn

More information

Chapter4: Superposition and Interference

Chapter4: Superposition and Interference Chapter4: Superposition and Interference Sections Superposition Principle Superposition of Sinusoidal Waves Interference of Sound Waves Standing Waves Beats: Interference in Time Nonsinusoidal Wave Patterns

More information

Thompson/Ocean 420/Winter 2005 Tide Dynamics 1

Thompson/Ocean 420/Winter 2005 Tide Dynamics 1 Thompson/Ocean 420/Winter 2005 Tide Dynamics 1 Tide Dynamics Dynamic Theory of Tides. In the equilibrium theory of tides, we assumed that the shape of the sea surface was always in equilibrium with the

More information

Waves-Wave Characteristics

Waves-Wave Characteristics 1. What is the wavelength of a 256-hertz sound wave in air at STP? 1. 1.17 10 6 m 2. 1.29 m 3. 0.773 m 4. 8.53 10-7 m 2. The graph below represents the relationship between wavelength and frequency of

More information

3. Experimental Results

3. Experimental Results Experimental study of the wind effect on the focusing of transient wave groups J.P. Giovanangeli 1), C. Kharif 1) and E. Pelinovsky 1,) 1) Institut de Recherche sur les Phénomènes Hors Equilibre, Laboratoire

More information

Introduction. Antennas and Propagation. Types of Antennas. Radiation Patterns. Antenna Gain. Antenna Gain

Introduction. Antennas and Propagation. Types of Antennas. Radiation Patterns. Antenna Gain. Antenna Gain Introduction Antennas and Propagation Chapter 5 An antenna is an electrical conductor or system of conductors Transmission - radiates electromagnetic energy into space Reception - collects electromagnetic

More information

7.2.4 Seismic velocity, attenuation and rock properties

7.2.4 Seismic velocity, attenuation and rock properties 7.2.4 Seismic velocity, attenuation and rock properties Rock properties that affect seismic velocity Porosity Lithification Pressure Fluid saturation Velocity in unconsolidated near surface soils (the

More information

Wake pattern of a boat

Wake pattern of a boat UNIVERSITY OF LJUBLJANA FACULTY OF MATHEMATICS AND PHYSICS DEPARTMENT OF PHYSICS Seminar 2008/09 Wake pattern of a boat Špela Rožman mentor: doc. dr. Aleš Mohorič Ljubljana, 13. 5. 2009 Summary A ship

More information

Grade 8 Science Chapter 4 Notes

Grade 8 Science Chapter 4 Notes Grade 8 Science Chapter 4 Notes Optics the science that deals with the properties of light. Light a form of energy that can be detected by the human eye. The History of Optics (3 Scientists): 1. Pythagoras

More information

Wave Hydro Dynamics Prof. V. Sundar Department of Ocean Engineering Indian Institute of Technology, Madras

Wave Hydro Dynamics Prof. V. Sundar Department of Ocean Engineering Indian Institute of Technology, Madras Wave Hydro Dynamics Prof. V. Sundar Department of Ocean Engineering Indian Institute of Technology, Madras Module No. # 02 Wave Motion and Linear Wave Theory Lecture No. # 03 Wave Motion II We will today

More information

Lecture 3. Turbulent fluxes and TKE budgets (Garratt, Ch 2)

Lecture 3. Turbulent fluxes and TKE budgets (Garratt, Ch 2) Lecture 3. Turbulent fluxes and TKE budgets (Garratt, Ch 2) In this lecture How does turbulence affect the ensemble-mean equations of fluid motion/transport? Force balance in a quasi-steady turbulent boundary

More information

Waves and Sound. An Introduction to Waves and Wave Properties Wednesday, November 19, 2008

Waves and Sound. An Introduction to Waves and Wave Properties Wednesday, November 19, 2008 Waves and Sound An Introduction to Waves and Wave Properties Wednesday, November 19, 2008 Mechanical Wave A mechanical wave is a disturbance which propagates through a medium with little or no net displacement

More information

MFE659 Lecture 4a EARTHQUAKES & TSUNAMIS. Japanese Tsunami. Nuclear Disaster. Deadly Whirlpool. The death toll 19,300+.

MFE659 Lecture 4a EARTHQUAKES & TSUNAMIS. Japanese Tsunami. Nuclear Disaster. Deadly Whirlpool. The death toll 19,300+. MFE659 Lecture 4a EARTHQUAKES & TSUNAMIS Japanese Tsunami Tsunami on the coast of Sumatra The death toll 19,300+. 1 2 Deadly Whirlpool Nuclear Disaster 3 4 Nuclear Disaster Widespread Devistation 5 6 TSUNAMIS

More information

PHYS 100 Introductory Physics Sample Exam 2

PHYS 100 Introductory Physics Sample Exam 2 PHYS 00 Introductory Physics Sample Exam Formulas: Acceleration due to Gravity = 0 m/s Weight = Mass x Acceleration due to Gravity Work = Force x Distance Gravitational Potential Energy = Weight x Height

More information

Question based on Refraction and Refractive index. Glass Slab, Lateral Shift.

Question based on Refraction and Refractive index. Glass Slab, Lateral Shift. Question based on Refraction and Refractive index. Glass Slab, Lateral Shift. Q.What is refraction of light? What are the laws of refraction? Ans: Deviation of ray of light from its original path when

More information

Statistical Analysis of Non-stationary Waves off the Savannah Coast, Georgia, USA

Statistical Analysis of Non-stationary Waves off the Savannah Coast, Georgia, USA 1 Statistical Analysis of Non-stationary Waves off the Savannah Coast, Xiufeng Yang School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA, USA, 30332 (xfyang@gatech.edu)

More information

v = fλ PROGRESSIVE WAVES 1 Candidates should be able to :

v = fλ PROGRESSIVE WAVES 1 Candidates should be able to : PROGRESSIVE WAVES 1 Candidates should be able to : Describe and distinguish between progressive longitudinal and transverse waves. With the exception of electromagnetic waves, which do not need a material

More information

Physics Open House. Faraday's Law and EM Waves Change in the magnetic field strength in coils generates a current. Electromagnetic Radiation

Physics Open House. Faraday's Law and EM Waves Change in the magnetic field strength in coils generates a current. Electromagnetic Radiation Electromagnetic Radiation (How we get most of our information about the cosmos) Examples of electromagnetic radiation: Light Infrared Ultraviolet Microwaves AM radio FM radio TV signals Cell phone signals

More information

Chapter 2: Electromagnetic Radiation Radiant Energy I

Chapter 2: Electromagnetic Radiation Radiant Energy I Chapter 2: Electromagnetic Radiation Radiant Energy I Goals of Period 2 Section 2.1: To introduce electromagnetic radiation Section 2.2: To discuss the wave model of radiant energy Section 2.3: To describe

More information

Chapter 15, example problems:

Chapter 15, example problems: Chapter, example problems: (.0) Ultrasound imaging. (Frequenc > 0,000 Hz) v = 00 m/s. λ 00 m/s /.0 mm =.0 0 6 Hz. (Smaller wave length implies larger frequenc, since their product,

More information

Waves review practice questions

Waves review practice questions Name: ate: 1. The diagram shown represents four waves traveling to the right in the same transmitting medium. 4. Which wave has the greatest amplitude?.... Which type of wave is represented? 5. Which characteristic

More information

What happens to sound and light waves when this is no longer true? Assuming that the medium is at rest, we have three possible situations:

What happens to sound and light waves when this is no longer true? Assuming that the medium is at rest, we have three possible situations: 2.9 Doppler Effect So far, we have ignored the motion of both the wave source and any observers measuring the wave. In effect, it has been assumed that both the source and observer are at rest with respect

More information

Wave Energy. A pulse is a traveling disturbance in a medium. Pictures (a) through (d) show successive positions of a pulse in a rope.

Wave Energy. A pulse is a traveling disturbance in a medium. Pictures (a) through (d) show successive positions of a pulse in a rope. Wave Energy A pulse is a traveling disturbance in a medium. Pictures (a) through (d) show successive positions of a pulse in a rope. Wave Energy A wave is a succession of pulses, traveling through a medium.

More information

SIGNAL PROCESSING & SIMULATION NEWSLETTER

SIGNAL PROCESSING & SIMULATION NEWSLETTER 1 of 10 1/25/2008 3:38 AM SIGNAL PROCESSING & SIMULATION NEWSLETTER Note: This is not a particularly interesting topic for anyone other than those who ar e involved in simulation. So if you have difficulty

More information

SP9. StudyPacks KS4 SCIENCE STUDY. Wave Basics. Wave speed = Frequency x Wavelength

SP9. StudyPacks KS4 SCIENCE STUDY. Wave Basics. Wave speed = Frequency x Wavelength StudyPacks STUDY. KS4 SCIENCE Wave Basics Wave speed = Frequency x Wavelength This Study Pack aims to cover:. Describing Waves using keywords wavelength, amplitude & frequency 2. How to calculate Wave

More information

Standing Waves and the Velocity of Sound

Standing Waves and the Velocity of Sound Chapter 8 Standing Waves and the Velocity of Sound 8.1 Purpose In this experiment we will be using resonance points of a sound wave traveling through an open tube to measure the speed of sound in air.

More information

Gravity waves on water

Gravity waves on water Phys374, Spring 2006, Prof. Ted Jacobson Department of Physics, University of Maryland Gravity waves on water Waves on the surface of water can arise from the restoring force of gravity or of surface tension,

More information

Resonance in a Closed End Pipe

Resonance in a Closed End Pipe Experiment 12 Resonance in a Closed End Pipe 12.1 Objectives Determine the relationship between frequency and wavelength for sound waves. Verify the relationship between the frequency of the sound, the

More information

Section 5.0 : Horn Physics. By Martin J. King, 6/29/08 Copyright 2008 by Martin J. King. All Rights Reserved.

Section 5.0 : Horn Physics. By Martin J. King, 6/29/08 Copyright 2008 by Martin J. King. All Rights Reserved. Section 5. : Horn Physics Section 5. : Horn Physics By Martin J. King, 6/29/8 Copyright 28 by Martin J. King. All Rights Reserved. Before discussing the design of a horn loaded loudspeaker system, it is

More information

v = λf 1. A wave is created on a Slinky such that its frequency is 2 Hz and it has a wavelength of 1.20 meters. What is the speed of this wave?

v = λf 1. A wave is created on a Slinky such that its frequency is 2 Hz and it has a wavelength of 1.20 meters. What is the speed of this wave? Today: Questions re: HW Examples - Waves Wave Properties > Doppler Effect > Interference & Beats > Resonance Examples: v = λf 1. A wave is created on a Slinky such that its frequency is 2 Hz and it has

More information

Stochastic Doppler shift and encountered wave period distributions in Gaussian waves

Stochastic Doppler shift and encountered wave period distributions in Gaussian waves Ocean Engineering 26 (1999) 507 518 Stochastic Doppler shift and encountered wave period distributions in Gaussian waves G. Lindgren a,*, I. Rychlik a, M. Prevosto b a Department of Mathematical Statistics,

More information

Physics 101 HW#10 Solutions Koskelo

Physics 101 HW#10 Solutions Koskelo Physics 101 HW#10 Solutions Koskelo 1.) a.) Light slows down when it enters a material. What is actually going on (on a microscopic scale) that causes this to happen? The light is actually passed from

More information

What is the essence of waviness? The Wave Model. Waves: examples. Particles. Wave. 1. Ripples on a pond. Think of a leaf, or a cork on the water

What is the essence of waviness? The Wave Model. Waves: examples. Particles. Wave. 1. Ripples on a pond. Think of a leaf, or a cork on the water Chapter 20: Traveling Waves 20.1 The wave model 20.2 One-dimensional waves 20.3 Sinusoidal waves 20.4 Waves in 2- & 3-dimensions 20.5 Sound and Light Waves 20.6 Power and Intensity 20.7 Doppler Effect

More information

Register Hole Tuning

Register Hole Tuning Register Hole Tuning by Mike Prairie A register hole in a flute is used to force the air column into a vibration mode that excites the second register of the flute. This is accomplished by opening the

More information

1) The time for one cycle of a periodic process is called the A) wavelength. B) period. C) frequency. D) amplitude.

1) The time for one cycle of a periodic process is called the A) wavelength. B) period. C) frequency. D) amplitude. practice wave test.. Name Use the text to make use of any equations you might need (e.g., to determine the velocity of waves in a given material) MULTIPLE CHOICE. Choose the one alternative that best completes

More information

PRACTICE Q6--Quiz 6, Ch15.1 &15.2 Interference & Diffraction

PRACTICE Q6--Quiz 6, Ch15.1 &15.2 Interference & Diffraction Name: Class: Date: ID: A PRACTICE Q6--Quiz 6, Ch5. &5. Interference & Diffraction Multiple Choice Identify the choice that best completes the statement or answers the question.. The trough of the sine

More information

CHAPTER 13 - SEA WAVES AND SURGES

CHAPTER 13 - SEA WAVES AND SURGES CHAPTER 13 - SEA WAVES AND SURGES 13.1 Sea waves and swell 13.1.1 Forecasting wind-wave heights and periods 13.1.1.1 Waves in deep water 13.1.1.2 Waves in shallow waters 13.1.2 Wave conditions at the shoreline;

More information

Hunting Bats. Diagnostic Ultrasound. Ultrasound Real-time modality

Hunting Bats. Diagnostic Ultrasound. Ultrasound Real-time modality Diagnostik Ultrasound Basic physics, image reconstruction and signal processing Per Åke Olofsson Dpt of Biomedical Engineering, Malmö University Hospital, Sweden Ultrasound Real-time modality 17-WEEK FETAL

More information

Review of Chapter 25. Multiple Choice Identify the letter of the choice that best completes the statement or answers the question.

Review of Chapter 25. Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. Review of Chapter 25 Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. The time needed for a wave to make one complete cycle is its b. velocity.

More information

Milestones Review 2 (PhySci_Kennedy_2) 2. Josie sees lightning off in the distance. A few seconds later she hears thunder. What can Josie conclude?

Milestones Review 2 (PhySci_Kennedy_2) 2. Josie sees lightning off in the distance. A few seconds later she hears thunder. What can Josie conclude? Name: Date: 1. The distance between a wave's crest and its trough is known as its A. low tide measurement. B. water depth. C. wave height. D. wave length. 2. Josie sees lightning off in the distance. A

More information

1/26/2016. Chapter 21 Superposition. Chapter 21 Preview. Chapter 21 Preview

1/26/2016. Chapter 21 Superposition. Chapter 21 Preview. Chapter 21 Preview Chapter 21 Superposition Chapter Goal: To understand and use the idea of superposition. Slide 21-2 Chapter 21 Preview Slide 21-3 Chapter 21 Preview Slide 21-4 1 Chapter 21 Preview Slide 21-5 Chapter 21

More information

Tennessee State University

Tennessee State University Tennessee State University Dept. of Physics & Mathematics PHYS 2010 CF SU 2009 Name 30% Time is 2 hours. Cheating will give you an F-grade. Other instructions will be given in the Hall. MULTIPLE CHOICE.

More information

The wind and the waves

The wind and the waves The wind and the waves The windway Wave wars Graveyards Conflicting seas 17 The windway Sept-Îles - We have to cross to Anticosti today, or we'll have trouble tomorrow. They're calling for 30 knot winds

More information

sin ( sin(45 )) 70.5

sin ( sin(45 )) 70.5 Seismology and Global Waves Chap. 4 HW Answers 1. A swinging door is embedded in a N S oriented wall. What force direction would be required to make the door swing on its hinge?. A ray is travelling in

More information

Waves - Transverse and Longitudinal Waves

Waves - Transverse and Longitudinal Waves Waves - Transverse and Longitudinal Waves wave may be defined as a periodic disturbance in a medium that carries energy from one point to another. ll waves require a source and a medium of propagation.

More information

Physics 131: tutorial week 6 Waves (1)

Physics 131: tutorial week 6 Waves (1) Physics 131: tutorial week 6 Waves (1) Take the speed of sound in air at 0 C as 331ms 1 and the speed of electromagnetic radiation c 3, 00 10 8 ms 1. 1. A person standing in the ocean notices that after

More information

Tide - rhythmic oscillation of the ocean surface due to gravitational & centrifugal forces ( inertia ) between the Earth, Moon and Sun.

Tide - rhythmic oscillation of the ocean surface due to gravitational & centrifugal forces ( inertia ) between the Earth, Moon and Sun. Chapter 4: The Changing Level of the Sea Tides Longer Scale Variations Influence on Beaches Tide - rhythmic oscillation of the ocean surface due to gravitational & centrifugal forces ( inertia ) between

More information

Here, we derive formulas for computing crosstalk and show how to reduce it using well designed PCB layer stacks.

Here, we derive formulas for computing crosstalk and show how to reduce it using well designed PCB layer stacks. Crosstalk Ground and power planes serve to: Provide stable reference voltages Distribute power to logic devices Control crosstalk Here, we derive formulas for computing crosstalk and show how to reduce

More information

Physics 25 Exam 3 November 3, 2009

Physics 25 Exam 3 November 3, 2009 1. A long, straight wire carries a current I. If the magnetic field at a distance d from the wire has magnitude B, what would be the the magnitude of the magnetic field at a distance d/3 from the wire,

More information

Periodic Wave Phenomena

Periodic Wave Phenomena Name: Periodic Wave Phenomena 1. The diagram shows radar waves being emitted from a stationary police car and reflected by a moving car back to the police car. The difference in apparent frequency between

More information

MATH 10550, EXAM 2 SOLUTIONS. x 2 + 2xy y 2 + x = 2

MATH 10550, EXAM 2 SOLUTIONS. x 2 + 2xy y 2 + x = 2 MATH 10550, EXAM SOLUTIONS (1) Find an equation for the tangent line to at the point (1, ). + y y + = Solution: The equation of a line requires a point and a slope. The problem gives us the point so we

More information

Semester 2. Final Exam Review

Semester 2. Final Exam Review Semester 2 Final Exam Review Motion and Force Vocab Motion object changes position relative to a reference point. Speed distance traveled in a period of time. Velocity speed in a direction. Acceleration

More information

G r a d e 1 1 P h y s i c s ( 3 0 s )

G r a d e 1 1 P h y s i c s ( 3 0 s ) G r a d e 1 1 P h y s i c s ( 3 0 s ) Final Practice exam answer Key G r a d e 1 1 P h y s i c s ( 3 0 s ) Final Practice Exam Answer Key Instructions The final exam will be weighted as follows: Modules

More information

DIFFRACTION OF LIGHT

DIFFRACTION OF LIGHT Laboratory Exercise 4. DIFFRACTION OF LIGHT Diffraction Gratings. Determining the Wavelength of Laser Light Using a Diffraction Grating. Refraction. Observation of Atomic Spectra. Theoretical background:

More information

Ch 6: Light and Telescope. Wave and Wavelength. Wavelength, Frequency and Speed. v f

Ch 6: Light and Telescope. Wave and Wavelength. Wavelength, Frequency and Speed. v f Ch 6: Light and Telescope Wave and Wavelength..\..\aTeach\PhET\wave-on-a-string_en.jar Wavelength, Frequency and Speed Wave and Wavelength A wave is a disturbance that moves through a medium or through

More information

Center of Mass/Momentum

Center of Mass/Momentum Center of Mass/Momentum 1. 2. An L-shaped piece, represented by the shaded area on the figure, is cut from a metal plate of uniform thickness. The point that corresponds to the center of mass of the L-shaped

More information

potential in the centre of the sphere with respect to infinity.

potential in the centre of the sphere with respect to infinity. Umeå Universitet, Fysik 1 Vitaly Bychkov Prov i fysik, Electricity and Waves, 2006-09-27, kl 16.00-22.00 Hjälpmedel: Students can use any book. Define the notations you are using properly. Present your

More information

Standing Waves Physics Lab I

Standing Waves Physics Lab I Standing Waves Physics Lab I Objective In this series of experiments, the resonance conditions for standing waves on a string will be tested experimentally. Equipment List PASCO SF-9324 Variable Frequency

More information

Waves are created by disturbances which cause vibrations.

Waves are created by disturbances which cause vibrations. Wave Motion Waves are created by disturbances which cause vibrations. Vibrations produce a back-and-forth type motion called an oscillation. http://3d wave simulation The number of vibrations (or waves)

More information