Basic properties of waves One-dimensional wave t=0 t circular wave-number wave-number angular frequency frequency phase speed phase measures the position.

Slides:



Advertisements
Similar presentations
Prof. dr. A. Achterberg, Astronomical Dept., IMAPP, Radboud Universiteit.
Advertisements

Properties of Mechanical Waves
Chapter 25 Vibrations and Waves General definitions of vibrations and waves n Vibration: in a general sense, anything that switches back and forth, to.
10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt Wave Interactions.
Chapter 19 Vibrations and Waves.
Waves and Sound.
Wave Properties Chapter 14.
Chapter 17 Sound Waves. Introduction to Sound Waves Waves can move through three-dimensional bulk media. Sound waves are longitudinal waves. They travel.
CHAPTER 10: Mechanical Waves (4 Hours)
Physics 110G Waves TOC 1 Transverse Waves in Space Transverse Waves in Time Longitudinal Waves in Space Longitudinal Waves in Time.
Waves on a string THIS LECTURE Standing waves Standing waves Dispersive and non-dispersive waves Dispersive and non-dispersive waves.
This lecture A wide variety of waves
Phy 212: General Physics II Chapter 16: Waves I Lecture Notes.
- sound in air - AC electricity in a wire -an earthquake in rock -ocean waves in water radio waves - light - infrared radiation - X-rays - gamma rays -microwaves.
Waves Traveling Waves –Types –Classification –Harmonic Waves –Definitions –Direction of Travel Speed of Waves Energy of a Wave.
Longitudinal Waves In a longitudinal wave the particle displacement is parallel to the direction of wave propagation. The animation above shows a one-dimensional.
Conceptual Physics Chapter 251 Chapter 25 Waves. Conceptual Physics Chapter 252 Vibration of a Pendulum ¤The back-and-forth motion of a pendulum demonstrates.
Waves Wave Properties Waves are propagated by a vibrating source Pulse – single disturbance created by a single oscillation Periodic Wave – periodic.
Waves 5/22/2012. Waves Waves travel and transfer energy in an oscillating fashion (they wiggle). The amplitude, y, of a wave describes its height from.
WAVES AS 2.3: Demonstrate an understanding of wave phenomenon.
Herriman High Honors Physics Chapter 11 Vibrations and Waves.
Chapter 19 Vibrations and Waves Vibration: A disturbance “wiggle” in time.
1 Characteristics of Sound Waves. 2 Transverse and Longitudinal Waves Classification of waves is according to the direction of propagation. In transverse.
Chapter 17 Sound Waves: part two HW 2 (problems): 17.22, 17.35, 17.48, 17.58, 17.64, 34.4, 34.7, Due Friday, Sept. 11.
WAVES. The Nature of Waves A. Wave - a repeating disturbance or movement that transfers energy through matter or space. 1. Molecules pass energy on to.
Vibrations and Waves. Periodic Motion u Motion that follows the same path over equal time intervals u Include orbiting planets, moons, vibrating objects,
Properties of Waves 8.1. Mechanical Waves Require a medium to transfer energy from one place to another.
Properties of Waves. Mechanical Waves Mechanical wave requires a medium – such as rope, air, water or soil The wave begins at a source, this causes molecules.
1 Vibration: A repeated back-and-forth or up-and-down motion. Energy: The ability to do work.
WAVES Wave motion allows a transfer of energy without a transfer of matter.
Lecture Outline Chapter 13 College Physics, 7 th Edition Wilson / Buffa / Lou © 2010 Pearson Education, Inc.
Lecture Outline Chapter 13 College Physics, 7 th Edition Wilson / Buffa / Lou © 2010 Pearson Education, Inc.
Spring Constant, K The constant k is called the spring constant. SI unit of k = N/m.
Waves & Sound. What is a wave? Waves are… Disturbances that transfer energy from one place to another Waves do not transfer matter from one place to.
C H A P T E R 16 Waves and Sound A fighter jet emerges from a cloud caused when it breaks through the sound barrier.
Waves and Sound. A disturbance or oscillation that travels through space and matter, accompanied by a transfer of energy. Big Idea 6: Waves can transfer.
Phase Velocity and Group Velocity
Physics 11 n Mr. Jean n January 4 th, 2012 The plan: n Video Clip of the day n Wave motion n Wave speed n Types of waves n Interference u Demonstrations.
Wave Motion Types waves –mechanical waves require a medium to propagate –sound wave, water wave –electromagnetic waves not require a medium to propagate.
1 Linear Wave Equation The maximum values of the transverse speed and transverse acceleration are v y, max =  A a y, max =  2 A The transverse speed.
WAVES By Hieronimus Fredy Sestywan. Waves Waves is the movement of oscilation Vibration of SHM Water wave.
Wave Properties Chapter 14.2 Page 381. Wave Properties Both particles and waves carry energy. – Particles move with the energy – Waves carry energy WITHOUT.
PHY238Y Lecture 5 Waves (general discussion) Transverse and longitudinal waves Properties of waves: - Amplitude and phase - Wavelength and angular number.
Waves What does energy have to do with waves?. What does energy have to do with the wave? All forms of energy travel from one point to another point in.
1 15 Traveling Waves Hk: 25, 45, 55, 79. Simple wave motion Periodic waves Waves in three dimensions Waves encountering barriers The Doppler Effect (shock.
Chapter 17 Sound Waves 17.1 Pressure variation in Sound Waves 17.2 speed of Sound Waves 17.3 Intensity of Periodic Sound Waves 17.4 The Doppler Effect.
General Physics 2Induction1 Introduction to Waves A wave is a disturbance that moves through a medium while the medium remains essentially at rest Examples.
Vibrations and Waves. General definitions of vibrations and waves  Vibration: in a general sense, anything that switches back and forth, to and fro,
Physics Section 11.3 Apply the properties of waves A wave is a periodic disturbance that transfers energy by the vibration of matter, rather than the transfer.
AQA Physics Waves Section 1 Introduction and Definitions in Waves.
1. What is a wave? It is a disturbance that is transmitted progressively from one place to the next with no actual transport of matter.
Waves and Vibrations Vibration: The repeated back and forth motion about an equilibrium position.
College Physics, 7th Edition
Lecture 11 WAVE.
Vibrations and Waves.
CHAPTER 25 Vibration & Waves.
Making Waves.
Basic properties of waves
Properties of Waves Chapter 15 Section 2.
Essential Question: What are the types and properties of waves?
Wave Definitions.
Lesson 4C Basic Wave Concepts
wave – a regularly repeating pulse
Chapter 13 Waves and Sound.
Waves Wave- a disturbance that transfers energy through matter or space. - particles of matter don’t move along with wave. Medium- substance or region.
Chapter 13 Waves and Sound.
Introduction to Waves Chapter 17.
WAVES.
Waves Chapter 11 part 2.
Wave Definitions.
Presentation transcript:

Basic properties of waves One-dimensional wave t=0 t circular wave-number wave-number angular frequency frequency phase speed phase measures the position of a wave feature, such as a wave peak or trough wavelength distance between repeating units of a propagating wave period T duration of one cycle in a repeating event number of occurrences of a repeating event per unit time

Euler formula i: imaginary unit Harmonic wave : one amplitude and one frequency Waves superimpose together Example 1: standing wave Right moving wave Left moving wave

Example 2: Non-dispersive and dispersive wave Specific case 1 Non-dispersive wave-packet Specific case 2 Dispersive wave-packet Non-dispersive wave: wave phase speed dos not depend on wave number. Dispersive wave: wave phase speed depends on wave number.

Specific case 3 Specific case 4 Because of the reinforcement or cancellation of wave amplitude, the energy of wave group will be concentrated in regions where the wave amplitude is large, and those regions with small wave amplitude contain less energy. Thus, wave energy does not propagate at the phase speed of individual waves, but at the speed of wave envelope, called group velocity.

Group velocity high frequency carrier wave slow moving envelope wave group velocity

Longitudinal wave: parcel's oscillation is in the same direction as the direction of wave propagation. Transverse wave: parcel's oscillation is perpendicular to the direction of wave propagation. Orbital wave: involving components of both longitudinal and transverse wave.

X direction acoustic wave Momentum equation Mass conservation equation Energy conservation equation Non-dispersive wave Adiabatic sound speed Doppler effect Sound frequency

Stationary sound source

Sound source moving at a speed slower than sound speed Sound source is moving at the same speed as the sound speed This pressure wall is called shock wave

supersonic sound speed barrier Wave front

sound source moving faster than sound speed so-called Mach cone 2.45 c