The Principle of Superposition
|
|
- Leo Sullivan
- 5 years ago
- Views:
Transcription
1 The Principle of Superposition If wave 1 displaces a particle in the medium by D 1 and wave 2 simultaneously displaces it by D 2, the net displacement of the particle is simply D 1 + D 2.
2 Standing Waves
3 The Mathematics of Standing Waves A sinusoidal wave traveling to the right along the x-axis with angular frequency ω = 2πf, wave number k = 2π/λ and amplitude a is An equivalent wave traveling to the left is We previously used the symbol A for the wave amplitude, but here we will use a lowercase a to represent the amplitude of each individual wave and reserve A for the amplitude of the net wave.
4 The Mathematics of Standing Waves According to the principle of superposition, the net displacement of the medium when both waves are present is the sum of D R and D L : We can simplify this by using a trigonometric identity, and arrive at Where the amplitude function A(x) is defined as A x ( ) = 2asinkx The amplitude reaches a maximum value of A max = 2a at points where sin kx = 1.
5 EXAMPLE 21.1 Node spacing on a string QUESTIONS:
6 EXAMPLE 21.1 Node spacing on a string
7 Standing Waves on a String
8 Standing Waves on a String For a string of fixed length L, the boundary conditions can be satisfied only if the wavelength has one of the values A standing wave can exist on the string only if its wavelength is one of the values given by Equation Because λf = v for a sinusoidal wave, the oscillation frequency corresponding to wavelength λ m is
9 Standing Waves on a String There are three things to note about the normal modes of a string. 1. m is the number of antinodes on the standing wave, not the number of nodes. You can tell a string s mode of oscillation by counting the number of antinodes. 2. The fundamental mode, with m = 1, has λ 1 = 2L, not λ 1 = L. Only half of a wavelength is contained between the boundaries, a direct consequence of the fact that the spacing between nodes is λ/2. 3. The frequencies of the normal modes form a series: f 1, 2f 1, 3f 1, The fundamental frequency f 1 can be found as the difference between the frequencies of any two adjacent modes. That is, f 1 = Δf = f m+1 f m.
10 EXAMPLE 21.4 Cold spots in a microwave oven QUESTION:
11 EXAMPLE 21.4 Cold spots in a microwave oven
12 Standing Sound Waves A long, narrow column of air, such as the air in a tube or pipe, can support a longitudinal standing sound wave. A closed end of a column of air must be a displacement node. Thus the boundary conditions nodes at the ends are the same as for a standing wave on a string. It is often useful to think of sound as a pressure wave rather than a displacement wave. The pressure oscillates around its equilibrium value. The nodes and antinodes of the pressure wave are interchanged with those of the displacement wave.
13
14 Derive λ and f
15 Derive λ and f
16 Derive λ and f
17 EXAMPLE 21.6 The length of an organ pipe QUESTION:
18 EXAMPLE 21.6 The length of an organ pipe
19 EXAMPLE 21.7 The notes on a clarinet QUESTION:
20 EXAMPLE 21.7 The notes on a clarinet
21 Interference in One Dimension The pattern resulting from the superposition of two waves is often called interference. In this section we will look at the interference of two waves traveling in the same direction.
22 The Mathematics of Interference As two waves of equal amplitude and frequency travel together along the x-axis, the net displacement of the medium is sinα + sinβ = 2cos 1 2 α β ( ) sin 1 2 α + β ( ) We can use the above trigonometric identity to write the net displacement as Where Δø = ø 2 ø 1 is the phase difference between the two waves.
23 The Mathematics of Interference The amplitude has a maximum value A = 2a if cos(δø/2) = ±1. This occurs when Where m is an integer. Similarly, the amplitude is zero if cos(δø/2) = 0, which occurs when
24 The Mathematics of Interference thin films The amplitude has a maximum value A = 2a if cos(δø/2) = ±1. This occurs when Δφ = φ 1 φ 2 = kx 2 + φ 20 + π ( ) ( kx 1 + φ 10 + π) Δφ = kδx Δφ = 2π Δx Where Δx = x 2 x 1 and Δϕ = ϕ 20 ϕ 10 For no phase difference, Δϕ 0 = 0 Δφ = 2π 2d λ /n λ f = 2π 2nd λ For constructive interference, Δϕ = m 2π For destructive interference, Δϕ = (m-½) 2π Δφ λ c = 2nd m λ c = 2nd m 1 2
25 EXAMPLE Designing an antireflection coating QUESTION:
26 EXAMPLE Designing an antireflection coating
27 Interference in Two and Three Dimensions
28 Interference in Two and Three Dimensions The mathematical description of interference in two or three dimensions is very similar to that of one-dimensional interference. The conditions for constructive and destructive interference are where Δr is the path-length difference.
29 EXAMPLE Two-dimensional interference between two loudspeakers QUESTIONS:
30 EXAMPLE Two-dimensional interference between two loudspeakers
31 EXAMPLE Two-dimensional interference between two loudspeakers
32 EXAMPLE Two-dimensional interference between two loudspeakers Δr λ =
33 Beats
34 Beats With beats, the sound intensity rises and falls twice during one cycle of the modulation envelope. Each loud-soft-loud is one beat, so the beat frequency f beat, which is the number of beats per second, is twice the modulation frequency f mod. The beat frequency is where, to keep f beat from being negative, we will always let f 1 be the larger of the two frequencies. The beat is simply the difference between the two individual frequencies.
35 EXAMPLE Listening to beats QUESTIONS:
36 EXAMPLE Listening to beats
37 EXAMPLE Listening to beats
38 Exploration of Physics Waves on a Rope Adding Waves Standing Waves Read the theory and hints tabs before doing each activity
Waves ADD: Constructive Interference. Waves SUBTRACT: Destructive Interference. In Phase. Out of Phase
Superposition Interference Waves ADD: Constructive Interference. Waves SUBTRACT: Destructive Interference. In Phase Out of Phase Superposition Traveling waves move through each other, interfere, and keep
More informationChapter 18. Superposition and Standing Waves
Chapter 18 Superposition and Standing Waves Particles & Waves Spread Out in Space: NONLOCAL Superposition: Waves add in space and show interference. Do not have mass or Momentum Waves transmit energy.
More informationStudy of Standing Waves to Find Speed of Sound in Air
Study of Standing Waves to Find Speed of Sound in Air Purpose Using mobile devices as sound analyzer and sound generator to study standing waves and determine the speed of sound in air. Theory The velocity
More informationphysics 04/11/2013 Class 3, Sections Preclass Notes Interference in One Dimension Interference in One Dimension
Class 3, Sections 21.5-21.8 Preclass Notes physics FOR SCIENTISTS AND ENGINEERS a strategic approach THIRD EDITION The pattern resulting from the superposition of two waves is often called interference.
More informationName: Lab Partner: Section:
Chapter 11 Wave Phenomena Name: Lab Partner: Section: 11.1 Purpose Wave phenomena using sound waves will be explored in this experiment. Standing waves and beats will be examined. The speed of sound will
More informationInterference & Superposition. Creating Complex Wave Forms
Interference & Superposition Creating Complex Wave Forms Waves & Interference I. Definitions and Types II. Parameters and Equations III. Sound IV. Graphs of Waves V. Interference - superposition - standing
More informationWaves ADD: Constructive Interference. Waves SUBTRACT: Destructive Interference. In Phase. Out of Phase
Superposition Interference Interference Waves ADD: Constructive Interference. Waves SUBTRACT: Destructive Interference. In Phase Out of Phase Superposition Traveling waves move through each other, interfere,
More informationPHY132 Introduction to Physics II Class 4 Outline:
PHY132 Introduction to Physics II Class 4 Outline: Ch. 21, sections 21.5-21.8 Wave Interference Constructive and Destructive Interference Thin-Film Optical Coatings Interference in 2 and 3 Dimensions Beats
More informationPHY132 Introduction to Physics II Class 4 Outline: Wave Interference
PHY132 Introduction to Physics II Class 4 Outline: Ch. 21, sections 21.5-21.8 Wave Interference Constructive and Destructive Interference Thin-Film Optical Coatings Interference in 2 and 3 Dimensions Beats
More informationPHY132 Introduction to Physics II Class 4 Outline:
PHY132 Introduction to Physics II Class 4 Outline: Ch. 21, sections 21.5-21.8 Wave Interference Constructive and Destructive Interference Thin-Film Optical Coatings Interference in 2 and 3 Dimensions Beats
More informationIn Phase. Out of Phase
Superposition Interference Waves ADD: Constructive Interference. Waves SUBTRACT: Destructive Interference. In Phase Out of Phase Superposition Traveling waves move through each other, interfere, and keep
More informationPhysics B Waves and Sound Name: AP Review. Show your work:
Physics B Waves and Sound Name: AP Review Mechanical Wave A disturbance that propagates through a medium with little or no net displacement of the particles of the medium. Parts of a Wave Crest: high point
More informationCopyright 2010 Pearson Education, Inc.
14-7 Superposition and Interference Waves of small amplitude traveling through the same medium combine, or superpose, by simple addition. 14-7 Superposition and Interference If two pulses combine to give
More informationChapter 17. Linear Superposition and Interference
Chapter 17 Linear Superposition and Interference Linear Superposition If two waves are traveling through the same medium, the resultant wave is found by adding the displacement of the individual waves
More informationABC Math Student Copy
Page 1 of 17 Physics Week 9(Sem. 2) Name Chapter Summary Waves and Sound Cont d 2 Principle of Linear Superposition Sound is a pressure wave. Often two or more sound waves are present at the same place
More informationInterference. Lecture 24. Chapter 17. The final stretch of the course. PHYS.1440 Lecture 24 A.Danylov Department of Physics and Applied Physics
Lecture 24 Chapter 17 Interference The final stretch of the course Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Today we are going to discuss: Chapter 17: Section 17.5-7 Interference
More informationChapter4: Superposition and Interference
Chapter4: Superposition and Interference 1. Superposition and Interference Many interesting wave phenomena in nature cannot be described by a single traveling wave. Instead, one must analyze complex waves
More information3/23/2015. Chapter 11 Oscillations and Waves. Contents of Chapter 11. Contents of Chapter Simple Harmonic Motion Spring Oscillations
Lecture PowerPoints Chapter 11 Physics: Principles with Applications, 7 th edition Giancoli Chapter 11 and Waves This work is protected by United States copyright laws and is provided solely for the use
More informationChapter 17 Waves in Two and Three Dimensions
Chapter 17 Waves in Two and Three Dimensions Slide 17-1 Chapter 17: Waves in Two and Three Dimensions Concepts Slide 17-2 Section 17.1: Wavefronts The figure shows cutaway views of a periodic surface wave
More informationInterference. Lecture 21. Chapter 17. Physics II. Course website:
Lecture 21 Chapter 17 Physics II Interference Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Today we are going to discuss: Chapter 17: Section 17.5-7 Interference A standing
More informationTHE PRINCIPLE OF LINEAR SUPERPOSITION AND INTERFERENCE PHENOMENA
THE PRINCIPLE OF LINEAR SUPERPOSITION AND INTERFERENCE PHENOMENA PREVIEW When two waves meet in the same medium they combine to form a new wave by the principle of superposition. The result of superposition
More informationMake-Up Labs Next Week Only
Make-Up Labs Next Week Only Monday, Mar. 30 to Thursday, April 2 Make arrangements with Dr. Buntar in BSB-B117 If you have missed a lab for any reason, you must complete the lab in make-up week. Energy;
More informationPHYS102 Previous Exam Problems. Sound Waves. If the speed of sound in air is not given in the problem, take it as 343 m/s.
PHYS102 Previous Exam Problems CHAPTER 17 Sound Waves Sound waves Interference of sound waves Intensity & level Resonance in tubes Doppler effect If the speed of sound in air is not given in the problem,
More informationWaves and Sound Practice Test 43 points total Free- response part: [27 points]
Name Waves and Sound Practice Test 43 points total Free- response part: [27 points] 1. To demonstrate standing waves, one end of a string is attached to a tuning fork with frequency 120 Hz. The other end
More informationDepartment of Physics United States Naval Academy. Lecture 39: Sound Waves
Department of Physics United States Naval Academy Lecture 39: Sound Waves Sound Waves: Sound waves are longitudinal mechanical waves that can travel through solids, liquids, or gases. The speed v of a
More informationWaves transfer energy NOT matter Two categories of waves Mechanical Waves require a medium (matter) to transfer wave energy Electromagnetic waves no
1 Waves transfer energy NOT matter Two categories of waves Mechanical Waves require a medium (matter) to transfer wave energy Electromagnetic waves no medium required to transfer wave energy 2 Mechanical
More informationWaves Q1. MockTime.com. (c) speed of propagation = 5 (d) period π/15 Ans: (c)
Waves Q1. (a) v = 5 cm (b) λ = 18 cm (c) a = 0.04 cm (d) f = 50 Hz Q2. The velocity of sound in any gas depends upon [1988] (a) wavelength of sound only (b) density and elasticity of gas (c) intensity
More informationPhysics 1C. Lecture 14B
Physics 1C Lecture 14B "I did never know so full a voice issue from so empty a heart: but the saying is true 'The empty vessel makes the greatest sound'." --William Shakespeare Doppler Effect Why does
More information(i) node [1] (ii) antinode...
1 (a) When used to describe stationary (standing) waves explain the terms node...... [1] (ii) antinode....... [1] (b) Fig. 5.1 shows a string fixed at one end under tension. The frequency of the mechanical
More informationStanding Waves + Reflection
Standing Waves + Reflection Announcements: Will discuss reflections of transverse waves, standing waves and speed of sound. We will be covering material in Chap. 16. Plan to review material on Wednesday
More informationInterference. Lecture 22. Chapter 21. Physics II. Course website:
Lecture 22 Chapter 21 Physics II Interference Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Interference A standing wave is the interference pattern produced when two waves of
More informationHarmonic Motion and Mechanical Waves. Jun 4 10:31 PM. the angle of incidence equals the angle of reflection.
Wave Properties Harmonic Motion and Mechanical Waves The law of reflection the angle of incidence equals the angle of reflection. The normal is an imaginary line that is perpendicular to the surface. The
More informationAP PHYSICS WAVE BEHAVIOR
AP PHYSICS WAVE BEHAVIOR NAME: HB: ACTIVITY I. BOUNDARY BEHAVIOR As a wave travels through a medium, it will often reach the end of the medium and encounter an obstacle or perhaps another medium through
More informationLecture 2: Interference
Lecture 2: Interference λ S 1 d S 2 Lecture 2, p.1 Today Interference of sound waves Two-slit interference Lecture 2, p.2 Review: Wave Summary ( ) ( ) The formula y x,t = Acoskx ωt describes a harmonic
More informationSECTION A Waves and Sound
AP Physics Multiple Choice Practice Waves and Optics SECTION A Waves and Sound 2. A string is firmly attached at both ends. When a frequency of 60 Hz is applied, the string vibrates in the standing wave
More informationWaves are generated by an oscillator which has to be powered.
Traveling wave is a moving disturbance. Can transfer energy and momentum from one place to another. Oscillations occur simultaneously in space and time. Waves are characterized by 1. their velocity 2.
More informationFrequency f determined by the source of vibration; related to pitch of sound. Period T time taken for one complete vibrational cycle
Unit 1: Waves Lesson: Sound Sound is a mechanical wave, a longitudinal wave, a pressure wave Periodic sound waves have: Frequency f determined by the source of vibration; related to pitch of sound Period
More informationA Level. A Level Physics. WAVES: Combining Waves (Answers) AQA. Name: Total Marks: /30
Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources. AQA A Level A Level Physics WAVES: Combining Waves (Answers) Name: Total Marks: /30 Maths Made Easy Complete Tuition Ltd 2017 1. To produce
More informationHomework 5 (Chapter 16)
Homework 5 (Chapter 16) Exercise 16.1 For sound waves in air with frequency 1000, a displacement amplitude of 1.2 10 8 m produces a pressure amplitude of. Use = 344. 3.0 10 2 Pa vsound What is the wavelength
More informationStandingWaves_P2 [41 marks]
StandingWaves_P2 [41 marks] A loudspeaker emits sound towards the open end of a pipe. The other end is closed. A standing wave is formed in the pipe. The diagram represents the displacement of molecules
More informationExam III. Solutions. Part A. Multiple choice questions. Check the best answer. Each question carries a value of 4 points.
Exam III Solutions Part A. Multiple choice questions. Check the best answer. Each question carries a value of 4 points.. In Pascal s demonstration the barrel shown has height h and crosssection area A.
More informationProperties and Applications
Properties and Applications What is a Wave? How is it Created? Waves are created by vibrations! Atoms vibrate, strings vibrate, water vibrates A wave is the moving oscillation Waves are the propagation
More informationPre Test 1. Name. a Hz b Hz c Hz d Hz e Hz. 1. d
Name Pre Test 1 1. The wavelength of light visible to the human eye is on the order of 5 10 7 m. If the speed of light in air is 3 10 8 m/s, find the frequency of the light wave. 1. d a. 3 10 7 Hz b. 4
More informationWaves & Interference
Waves & Interference I. Definitions and Types II. Parameters and Equations III. Sound IV. Graphs of Waves V. Interference - superposition - standing waves The student will be able to: HW: 1 Define, apply,
More informationSECTION A Waves and Sound
AP Physics Multiple Choice Practice Waves and Optics SECTION A Waves and Sound 1. Which of the following statements about the speed of waves on a string are true? I. The speed depends on the tension in
More informationSound, acoustics Slides based on: Rossing, The science of sound, 1990.
Sound, acoustics Slides based on: Rossing, The science of sound, 1990. Acoustics 1 1 Introduction Acoustics 2! The word acoustics refers to the science of sound and is a subcategory of physics! Room acoustics
More informationPC1141 Physics I. Speed of Sound. Traveling waves of speed v, frequency f and wavelength λ are described by
PC1141 Physics I Speed of Sound 1 Objectives Determination of several frequencies of the signal generator at which resonance occur in the closed and open resonance tube respectively. Determination of the
More informationA mechanical wave is a disturbance which propagates through a medium with little or no net displacement of the particles of the medium.
Waves and Sound Mechanical Wave A mechanical wave is a disturbance which propagates through a medium with little or no net displacement of the particles of the medium. Water Waves Wave Pulse People Wave
More informationMusic. Sound Part II
Music Sound Part II What is the study of sound called? Acoustics What is the difference between music and noise? Music: Sound that follows a regular pattern; a mixture of frequencies which have a clear
More information1. Transverse Waves: the particles in the medium move perpendicular to the direction of the wave motion
Mechanical Waves Represents the periodic motion of matter e.g. water, sound Energy can be transferred from one point to another by waves Waves are cyclical in nature and display simple harmonic motion
More informationA Level. A Level Physics. WAVES: Combining Waves (Answers) OCR. Name: Total Marks: /30
Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources. OCR A Level A Level Physics WAVES: Combining Waves (Answers) Name: Total Marks: /30 Maths Made Easy Complete Tuition Ltd 2017 1. To produce
More informationResonance in Air Columns
Resonance in Air Columns When discussing waves in one dimension, we observed that a standing wave forms on a spring when reflected waves interfere with incident waves. We learned that the frequencies at
More informationPhysics 1C. Lecture 14C. "The finest words in the world are only vain sounds if you cannot understand them." --Anatole France
Physics 1C Lecture 14C "The finest words in the world are only vain sounds if you cannot understand them." --Anatole France Standing Waves You can also create standing waves in columns of air. But in air,
More informationCopyright 2009 Pearson Education, Inc.
Chapter 16 Sound 16-1 Characteristics of Sound Sound can travel through h any kind of matter, but not through a vacuum. The speed of sound is different in different materials; in general, it is slowest
More informationLecture Presentation Chapter 16 Superposition and Standing Waves
Lecture Presentation Chapter 16 Superposition and Standing Waves Suggested Videos for Chapter 16 Prelecture Videos Constructive and Destructive Interference Standing Waves Physics of Your Vocal System
More informationPhysics Standing Waves. Tues. 4/18, and Thurs. 4/20
Physics 116 2017 Standing Waves Tues. 4/18, and Thurs. 4/20 A long string is firmly connected to a stationary metal rod at one end. A student holding the other end moves her hand rapidly up and down to
More informationAS Physics Unit 5 - Waves 1
AS Physics Unit 5 - Waves 1 WHAT IS WAVE MOTION? The wave motion is a means of transferring energy from one point to another without the transfer of any matter between the points. Waves may be classified
More informationChapter 12. Preview. Objectives The Production of Sound Waves Frequency of Sound Waves The Doppler Effect. Section 1 Sound Waves
Section 1 Sound Waves Preview Objectives The Production of Sound Waves Frequency of Sound Waves The Doppler Effect Section 1 Sound Waves Objectives Explain how sound waves are produced. Relate frequency
More information4. WAVES Waves in one dimension (sections )
1 4. WAVES 4.1. Waves in one dimension (sections 4.1-4.6) Oscillation An oscillation is a back-and-forwards-movement like a mass hanging on a spring which is extended and released. [In this case, when
More informationLecture 19. Superposition, interference, standing waves
ecture 19 Superposition, interference, standing waves Today s Topics: Principle of Superposition Constructive and Destructive Interference Beats Standing Waves The principle of linear superposition When
More informationName: Date: Period: Physics: Study guide concepts for waves and sound
Name: Date: Period: Physics: Study guide concepts for waves and sound Waves Sound What is a wave? Identify parts of a wave (amplitude, frequency, period, wavelength) Constructive and destructive interference
More informationdescribe sound as the transmission of energy via longitudinal pressure waves;
1 Sound-Detailed Study Study Design 2009 2012 Unit 4 Detailed Study: Sound describe sound as the transmission of energy via longitudinal pressure waves; analyse sound using wavelength, frequency and speed
More informationMusic: Sound that follows a regular pattern; a mixture of frequencies which have a clear mathematical relationship between them.
The Sound of Music Music: Sound that follows a regular pattern; a mixture of frequencies which have a clear mathematical relationship between them. How is music formed? By STANDING WAVES Formed due to
More informationSound Waves Practice Problems PSI AP Physics 1. (D) It cannot be determined with the given information.
Sound Waves Practice Problems PSI AP Physics 1 Name Multiple Choice 1. Two sound sources S 1 and S 2 produce waves with frequencies 500 Hz and 250 Hz. When we compare the speed of wave 1 to the speed of
More informationResonant Tubes A N A N
1 Resonant Tubes Introduction: Resonance is a phenomenon which is peculiar to oscillating systems. One example of resonance is the famous crystal champagne glass and opera singer. If you tap a champagne
More informationStanding Waves. Lecture 21. Chapter 21. Physics II. Course website:
Lecture 21 Chapter 21 Physics II Standing Waves Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Lecture Capture: http://echo360.uml.edu/danylov201415/physics2spring.html Standing
More informationSuperposition and Standing Waves
chapter 18 Superposition and Standing Waves 18.1 nalysis Model: Waves in Interference 18.2 Standing Waves 18.3 nalysis Model: Waves Under Boundary Conditions 18.4 Resonance 18.5 Standing Waves in ir Columns
More informationSound Waves and Beats
Sound Waves and Beats Computer 32 Sound waves consist of a series of air pressure variations. A Microphone diaphragm records these variations by moving in response to the pressure changes. The diaphragm
More informationpoint at zero displacement string 80 scale / cm Fig. 4.1
1 (a) Fig. 4.1 shows a section of a uniform string under tension at one instant of time. A progressive wave of wavelength 80 cm is moving along the string from left to right. At the instant shown, the
More informationQ1. (Total 1 mark) Q2. cannot (Total 1 mark)
Q1.Two points on a progressive wave are one-eighth of a wavelength apart. The distance between them is 0.5 m, and the frequency of the oscillation is 10 Hz. What is the minimum speed of the wave? 0.2 m
More informationOSCILLATIONS and WAVES
OSCILLATIONS and WAVES Oscillations Oscillations are vibrations which repeat themselves. EXAMPLE: Oscillations can be driven externally, like a pendulum in a gravitational field EXAMPLE: Oscillations can
More informationChapter 16 Sound. Copyright 2009 Pearson Education, Inc.
Chapter 16 Sound 16-6 Interference of Sound Waves; Beats Sound waves interfere in the same way that other waves do in space. 16-6 Interference of Sound Waves; Beats Example 16-12: Loudspeakers interference.
More informationWAVES. Chapter Fifteen MCQ I
Chapter Fifteen WAVES MCQ I 15.1 Water waves produced by a motor boat sailing in water are (a) neither longitudinal nor transverse. (b) both longitudinal and transverse. (c) only longitudinal. (d) only
More informationChapter 17. The Principle of Linear Superposition and Interference Phenomena
Chapter 17 The Principle of Linear Superposition and Interference Phenomena 17.1 The Principle of Linear Superposition When the pulses merge, the Slinky assumes a shape that is the sum of the shapes of
More informationDate Period Name. Write the term that corresponds to the description. Use each term once. beat
Date Period Name CHAPTER 15 Study Guide Sound Vocabulary Review Write the term that corresponds to the description. Use each term once. beat Doppler effect closed-pipe resonator fundamental consonance
More information(3) A traveling wave transfers, but it does not transfer.
AP PHYSICS TEST 9 Waves and Sound (1) Give a good physics definition of a wave. (2) Any wave has as its source. (3) A traveling wave transfers, but it does not transfer. (4) What is a mechanical wave?
More informationCHAPTER WAVE MOTION
Solutions--Ch. 12 (Wave Motion) CHAPTER 12 -- WAVE MOTION 12.1) The relationship between a wave's frequency ν, its wavelength λ, and its wave velocity v is v = λν. For sound in air, the wave velocity is
More information3) For vibrational motion, the maximum displacement from the equilibrium point is called the
WAVES & SOUND Conceptual Questions 1) The time for one cycle of a periodic process is called the 2) For a periodic process, the number of cycles per unit time is called the 3) For vibrational motion, the
More information28 The diagram shows an experiment which has been set up to demonstrate two-source interference, using microwaves of wavelength λ.
PhysicsndMathsTutor.com 28 The diagram shows an experiment which has been set up to demonstrate two-source interference, using microwaves of wavelength λ. 9702/1/M/J/02 X microwave transmitter S 1 S 2
More informationRarefaction Compression
::Sound:: Sound is a longitudinal wave Rarefaction Sound consists of a series of compressions and rarefactions. However, for simplicity sake, sound is usually represented as a transverse wave as exemplified
More informationSTANDING WAVES MISN STANDING WAVES by J. S. Kovacs, Michigan State University
STANDING WAVES STANDING WAVES by J. S. Kovacs, Michigan State University 1. Introduction a. Properties of Running Waves............................ 1 b. Standing Waves and Normal Modes.....................
More informationWaves. Topic 11.1 Standing Waves
Waves Topic 11.1 Standing Waves Standing Waves The Formation When 2 waves of the same speed and wavelength and equal or almost equal amplitudes travelling in opposite directions meet, a standing wave is
More informationDemonstrate understanding of wave systems. Demonstrate understanding of wave systems. Achievement Achievement with Merit Achievement with Excellence
Demonstrate understanding of wave systems Subject Reference Physics 3.3 Title Demonstrate understanding of wave systems Level 3 Credits 4 Assessment External This achievement standard involves demonstrating
More informationVibrations on a String and Resonance
Vibrations on a String and Resonance Umer Hassan and Muhammad Sabieh Anwar LUMS School of Science and Engineering September 7, 2010 How does our radio tune into different channels? Can a music maestro
More informationChapter PREPTEST: SHM & WAVE PROPERTIES
2 4 Chapter 13-14 PREPTEST: SHM & WAVE PROPERTIES Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A load of 45 N attached to a spring that is hanging vertically
More informationLAB 10: OSCILLATIONS AND SOUND
159 Name Date Partners LAB 10: OSCILLATIONS AND SOUND (Image from http://archive.museophile.org/sound/) OBJECTIVES To understand the effects of damping on oscillatory motion. To recognize the effects of
More informationAssessment Schedule 2014 Physics: Demonstrate understanding of wave systems (91523)
NCEA Level 3 Physics (91523) 2014 page 1 of 5 Assessment Schedule 2014 Physics: Demonstrate understanding of wave systems (91523) Assessment Criteria Achievement Achievement with Merit Achievement with
More informationPhysics I Notes: Chapter 13 Sound
Physics I Notes: Chapter 13 Sound I. Properties of Sound A. Sound is the only thing that one can hear! Where do sounds come from?? Sounds are produced by VIBRATING or OSCILLATING OBJECTS! Sound is a longitudinal
More informationCHAPTER 12 SOUND ass/sound/soundtoc. html. Characteristics of Sound
CHAPTER 12 SOUND http://www.physicsclassroom.com/cl ass/sound/soundtoc. html Characteristics of Sound Intensity of Sound: Decibels The Ear and Its Response; Loudness Sources of Sound: Vibrating Strings
More informationChapter 3. Experiment 1: Sound. 3.1 Introduction
Chapter 3 Experiment 1: Sound 3.1 Introduction Sound is classified under the topic of mechanical waves. A mechanical wave is a term which refers to a displacement of elements in a medium from their equilibrium
More informationPHYSICS 102N Spring Week 6 Oscillations, Waves, Sound and Music
PHYSICS 102N Spring 2009 Week 6 Oscillations, Waves, Sound and Music Oscillations Any process that repeats itself after fixed time period T Examples: Pendulum, spring and weight, orbits, vibrations (musical
More informationTuesday, Nov. 9 Chapter 12: Wave Optics
Tuesday, Nov. 9 Chapter 12: Wave Optics We are here Geometric optics compared to wave optics Phase Interference Coherence Huygens principle & diffraction Slits and gratings Diffraction patterns & spectra
More informationQuiz on Chapters 13-15
Quiz on Chapters 13-15 Chapter 16 Waves and Sound continued Final Exam, Thursday May 3, 8:00 10:00PM ANH 1281 (Anthony Hall). Seat assignments TBD RCPD students: Thursday May 3, 5:00 9:00PM, BPS 3239.
More informationg L f = 1 2π Agenda Chapter 14, Problem 24 Intensity of Sound Waves Various Intensities of Sound Intensity Level of Sound Waves
Agenda Today: HW #1 Quiz, power and energy in waves and decibel scale Thursday: Doppler effect, more superposition & interference, closed vs. open tubes Chapter 14, Problem 4 A 00 g ball is tied to a string.
More informationKey Vocabulary: Wave Interference Standing Wave Node Antinode Harmonic Destructive Interference Constructive Interference
Key Vocabulary: Wave Interference Standing Wave Node Antinode Harmonic Destructive Interference Constructive Interference 1. Work with two partners. Two will operate the Slinky and one will record the
More informationChapter 16. Waves and Sound
Chapter 16 Waves and Sound 16.1 The Nature of Waves 1. A wave is a traveling disturbance. 2. A wave carries energy from place to place. 1 16.1 The Nature of Waves Transverse Wave 16.1 The Nature of Waves
More informationToday s Topic: Beats & Standing Waves
Today s Topic: Beats & Standing Waves Learning Goal: SWBAT explain how interference can be caused by frequencies and reflections. Students produce waves on a long slinky. They oscillate the slinky such
More informationLAB 12: OSCILLATIONS AND SOUND
193 Name Date Partners LAB 12: OSCILLATIONS AND SOUND Animals can hear over a wider frequency range of humans, but humans can hear over a wide frequency from 20 Hz to 20,000 Hz (Image from http://archive.museophile.org/sound/)
More informationConcepts in Physics. Friday, November 26th 2009
1206 - Concepts in Physics Friday, November 26th 2009 Notes There is a new point on the webpage things to look at for the final exam So far you have the two midterms there More things will be posted over
More informationDescriptors crest(positive), trough (negative), wavelength, amplitude
Review of Waves Definition transfer of energy through a medium Pulse single disturbance Wave repeated or periodic disturbance Medium a substance or material which carries the wave Particle displacement
More information