In contrast to the wave speed, which is a constant, the speed of any part of the medium, with equilibrium position \(x\), at the time \(t\), can be calculated from Eqs. The crest is the highest point of upward displacement of the wave moving through a medium. Regardless of whether the wave is longitudinal or transverse, if it is harmonic, the spatial pattern will repeat itself every wavelength; you can think of the wavelength \(\lambda\) as the distance between two consecutive crests (or two consecutive troughs) of the displacement function, as shown in the figure. What is the physical reason for the reflected wave? Transverse waves may also be complex, in which the curves representing them are composed of two or more sine or cosine curves. consent of Rice University. The surfer would forward and backward horizontally with no vertical motion. i+J;g y8& &QZf! This video is an introduction to transverse and longitudinal waves. Amplitude: Crest : Trough: Wavelength:, Label the parts of the longitudinal wave. Accordingly, taking the derivative of \(\xi\) gives us the velocity of the corresponding part of the medium: \[ v_{\operatorname{med}}=\frac{d \xi}{d t} \label{eq:12.2} .\]. You may ask, what determines the speed of a wave in a material medium? Physically, you should think of each of these particles as being large enough to contain many molecules, but small enough that its position in the medium may be represented by a mathematical point. Is the following statement true or false? Mechanical waves are classified as longitudinal waves and transverse waves. Wavelength . As we saw earlier (Equation (\ref{eq:12.8})), the energy per unit volume in a harmonic wave of angular frequency \(\omega\) and amplitude \(\xi_0\) is \(E/V = \frac{1}{2} \rho_{0}\omega^{2}\xi^{2}_{0}\). This is what I have tried to do with the density plots at the bottom of the figure. The middle of a transverse wave is called the equilibrium or rest position. Direct link to romkatarina's post _"Changing the frequency , Posted 10 months ago. For reference, the speed of sound in steel would be about \(c\) = 5,000 m/s; in water, about 1,500 m/s; and in air, only about 340 m/s. If you are redistributing all or part of this book in a print format, They are separate. Also called the propagation speed. succeed. Because the coils of the slinky are vibrating longitudinally, there are regions where they become pressed together and other regions where they are spread apart. 2In this respect, it may help you to think of the impedance of an extended medium as being somewhat analog to the inertia (mass) of a single particle. If you drop a pebble into the water, only a few waves may be generated before the disturbance dies down, whereas in a wave pool, the waves are continuous. Study with Quizlet and memorize flashcards containing terms like Label the parts of the transverse wave. transverse wave, motion in which all points on a wave oscillate along paths at right angles to the direction of the wave's advance. The trough of a wave is the point on the medium that exhibits the maximum amount of negative or downward displacement from the rest position. Wavelength is considered to be the distance between corresponding points on the wavei.e., the distance between two adjacent peaks or troughs of the wave. I find that the 'long' in longitudinal reminds me a bit of 'along'. The answer, qualitatively speaking, is that \(c\) always ends up being something of the form, \[ c \sim \sqrt{\frac{\text { stiffness }}{\text { inertia }}} \label{eq:12.10} \]. (Ljsurf, Wikimedia Commons), https://www.texasgateway.org/book/tea-physics, https://openstax.org/books/physics/pages/1-introduction, https://openstax.org/books/physics/pages/13-1-types-of-waves, Creative Commons Attribution 4.0 International License, Define mechanical waves and medium, and relate the two, Distinguish a pulse wave from a periodic wave, Distinguish a longitudinal wave from a transverse wave and give examples of such waves. The illustration below shows a series of transverse waves. Omissions? The first thing to notice is that, if the incident wave has a frequency \(f\), it will cause the medium boundary, when it arrives there, to oscillate at that frequency. A couple of snapshots of a harmonic wave are shown in Figure \(\PageIndex{3}\). We can make a horizontal transverse wave by moving the slinky vertically up and down. In a transverse wave, the particles are displaced perpendicular to the direction the wave travels. A transverse wave propagates so that the disturbance is perpendicular to the direction of propagation. Explain. Many people enjoy surfing in the ocean. A wave is matter that provides volume to an object. The highest point on a wave is the __ CREST __, while the lowest point is the __TROUGH___. See Answer. compressions: a. rarefactions: b. wavelength: c. which statement correctly describes the relationship between the energy of a wave and the wave's amplitude? Earthquake waves can cause cities to crumble, and the waves on a beach turn rock into fine sand. Crest is the highest point of the wave. An oscillation that transfers energy and momentum. Part 1 In the diagram below, identify the parts of a wave by using the provided definitions. If you're seeing this message, it means we're having trouble loading external resources on our website. and you must attribute Texas Education Agency (TEA). Direct link to Maisha Ahmed Mithi's post How can we associate ener, Posted 3 years ago. He has a Masters in Education, and a Bachelors in Physics. Examples include waves on a string, sound, and water waves. This resource is great for a distant learning science lessons, learn vocabulary, and as an extension activity. Energy propagates differently in transverse and longitudinal waves. | 1 Use the next four slides and your Wave Diagram sheet to label and define the parts of a Transverse wave. This is the point at which the particles experience no disturbance. In fact, the wavelength of a wave can be measured as the distance from a point on a wave to the corresponding point on the next cycle of the wave. Draw and label a diagram of a transverse wave. Note that both transverse and longitudinal waves can be periodic. amplitude: b. crest: a. trough: c. wavelength: d. label the parts of the longitudinal wave. As mentioned in the introduction, the wave also carries energy. Some examples of longitudinal waves are sound waves, seismic P-waves, and ultrasound waves. Oscillations where particles are displaced parallel to the wave direction. Mathematically, the period ( T T) is simply the reciprocal of the wave's frequency ( f f ): T=\dfrac {1} {f} T = f 1 The units of period are seconds ( \text {s} s ). A point of minimum spacing between particles of a medium for longitudinal waves. Under these conditions, the function \(\xi(x, t)\) (which is often called the wave function) gives us the shape of the displacement wave, that is to say, the displacement of every part of the medium, labeled by its equilibrium \(x\)-coordinate, at any instant in time. <>/ExtGState<>/XObject<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> x[rF}Wahry:kNJZ)}{ &fDn4[>38~h/Fu[)gH7+XT!OOR In Equation (\ref{eq:12.3}), \(f\) stands for the frequency, and plays the same role it did in the previous chapter: it tells us how often (that is, how many times per second) the corresponding part of the medium oscillates around its equilibrium position. [What's the difference between the crest and the amplitude? If we think of the momentum of a volume element in the medium as being proportional to the product of the instantaneous density and velocity, we see that for this wave, which is traveling in the positive \(x\) direction, there is more positive momentum than negative momentum in the medium at any given time (of course, if the wave had been traveling in the opposite direction, the sign of \(v_{med}\) in Equation (\ref{eq:12.6}) would have been negative, and we would have found the opposite result). Direct link to asha chatani's post I am confused about using, Posted 2 years ago. Glencoe Chemistry - Matter And Change: Online Textbook Help, Glencoe Physical Science: Online Textbook Help, Holt McDougal Modern Chemistry: Online Textbook Help, Holt McDougal Physics: Online Textbook Help, WBJEEM (West Bengal Joint Entrance Exam): Test Prep & Syllabus, CSET Science Subtest II Life Sciences (217): Practice Test & Study Guide, SAT Subject Test Chemistry: Practice and Study Guide, SAT Subject Test Biology: Practice and Study Guide, UExcel Microbiology: Study Guide & Test Prep, High School Biology: Homework Help Resource, Create an account to start this course today. A rarefaction is a point on a medium through which a longitudinal wave is traveling that has the minimum density. Except where otherwise noted, textbooks on this site In the process, regions of rarefaction (where the density drops below its average value) are typically produced, alongside the regions of compression (increased density). Again, this is a familiar result from the theory of simple harmonic motion: the velocity is 90 degrees out of phase with the displacement, so it is maximum or minimum where the displacement is zero (that is, when the particle is passing through its equilibrium position in one direction or the other). The trough is the point of lowest displacement. Direct link to Kinjal's post what does '*unchanging me, Posted a year ago. Include compression, rarefaction and wavelength, Give examples of the waves drawn in #1 and #2. and more. The wavelength is the distance from crest to crest (or from trough to trough) (or between any two corresponding points on adjacent waves). This is a worthwhile detour, because impedance in various forms recurs in a number of physics and engineering problems. It also covers the differences between transverse and longitudinal waves, and between pulse and periodic waves. The amplitude of a wave is the highest amount of vibration that the medium gives from the rest position. The wavelength of the wave in the diagram above is given by letter ______. Discover the definition, features, and parts of transverse waves, understand the difference between time period and wavelength, and improve your understanding through examples. Book: University Physics I - Classical Mechanics (Gea-Banacloche), { "12.01:_Traveling_Waves" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "12.02:_Standing_Waves_and_Resonance" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "12.03:_Conclusion_and_Further_Resources" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "12.04:_In_Summary" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "12.05:_Examples" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "12.06:_Advanced_Topics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "12.07:_Exercises" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "00:_Front_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "01:_Reference_Frames_Displacement_and_Velocity" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "02:_Acceleration" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "03:_Momentum_and_Inertia" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "04:_Kinetic_Energy" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "05:_Interactions_I_-_Energy" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "06:_Interactions_II_-_Forces" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "07:_Impulse_Work_and_Power" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "08:_Motion_in_Two_Dimensions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "09:_Rotational_Dynamics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "10:_Gravity" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "11:_Simple_Harmonic_Motion" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "12:_Waves_in_One_Dimension" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "13:_Thermodynamics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "zz:_Back_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, [ "article:topic", "impedance", "intensity", "wave function", "longitudinal wave", "transverse wave", "bulk modulus", "energy flux", "license:ccbysa", "showtoc:no", "traveling wave", "wave motion", "Young Modulus", "authorname:jgeabanacloche", "licenseversion:40", "source@https://scholarworks.uark.edu/oer/3" ], https://phys.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fphys.libretexts.org%2FBookshelves%2FUniversity_Physics%2FBook%253A_University_Physics_I_-_Classical_Mechanics_(Gea-Banacloche)%2F12%253A_Waves_in_One_Dimension%2F12.01%253A_Traveling_Waves, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), The "Wave Shape" Function- Displacement and Velocity of the Medium, Reflection and Transmission of Waves at a Medium Boundary, source@https://scholarworks.uark.edu/oer/3. The dashed line drawn through the center of the diagram represents the equilibrium or rest position of the string. Why cannot we increase wave speed just pulling the string more vigorously? On the other hand, if the media have different impedances, then it will in general be impossible to match the energy flux with only a transmitted wave, and reflection will occur. The wavelength is another property of a wave that is portrayed in the diagram above. This website helped me pass! When the first person reaches the line, he starts running, but the second one is still walking, so by the time the second one reaches the line the first one has increased his distance from the second. how to calculate lambda,whats the formula? A transverse wave is one in which the energy of the wave displaces particles perpendicular to the energy wave. Direct link to Phoebe Allanson's post Is there an easy way (an , Posted 4 years ago. But if you move it up and down, then the slinky with go up and down until you stop, like the string in the video, creating a transverse wave? Parts of a Transverse Wave The crest is the highest point on a wave. The uppermost position is called the crest and the lowest is the trough. I highly recommend you use this site! After a compression wave, some molecules move upward temporarily. However, light is not a mechanical wave; it can travel through a vacuum such as the empty parts of outer space. Advertisement. After a compression wave, some molecules move backward temporarily. endobj Also called the peak. In contrast, in a longitudinal wave, the disturbance is parallel to the direction of propagation. Vibrations and Waves - Lesson 2 - Properties of a Wave. You can see that if the two media have the same impedance, then the energy flux in medium 2 will exactly match that in medium 1, provided the incident and transmitted waves have the same amplitudes. If the wave is traveling at a speed \(c\), then the energy flux (energy transported per unit time per unit area) is equal to \((E/V )c\), which is to say, \[ I=\frac{1}{2} c \rho_{0} \omega^{2} \xi_{0}^{2} \label{eq:12.14} .\], This is often called the intensity of the wave. Transverse Wave royalty-free images 723 transverse wave stock photos, vectors, and illustrations are available royalty-free. (for a string, the mass per unit length \(\mu\) instead of the mass per unit volume \(\rho_0\) should be used). Direct link to springfield.vonzell's post Why does the changing of , Posted 4 years ago. Direct link to Areej Maqsood's post So if you move the slinky, Posted 4 years ago. These curves represent how a standing transverse wave might look at consecutive (1, 2, 3, 4, and 5) intervals of time. For a transverse wave, the wavelength is determined by measuring from crest to crest. The wavelength is the length of the wave. - Definition & Overview, What is Ultraviolet Light? We can make a horizontal transverse wave by moving the slinky vertically up and down. The wavelength is the length it takes for the wave to complete one cycle. Question: Waves Unit 2, Worksheet 5 T. The illustration below shows a series of transverse waves. This resource contains 3 worksheets for students to label the common/major Parts of a Transverse and Longitudinal Wave and complete a chart defining each part. So, when a wave is trying to go from a low impedance to a large impedance medium, it will find it hard to set up a transmitted wave: the transmitted wave amplitude will be small (compared to that of the incident wave), and the only way to satisfy the condition \(\xi_{0, \text { inc }}+\xi_{0, \text { refl }}=\xi_{0, \text { trans }}\) will be to set up a reflected wave with a negative amplitude3in effect, to flip the reflected wave upside down, in addition to left-to-right. Parts of a Transverse wave: The crest is the top of the wave. The distance from the undisturbed level to the It is important to know the type of the wave in which energy is propagating to understand how it may affect the materials around it. As such, the wave it represents could equally well be longitudinal or transverse. Amplitude . Actual ocean waves are more complicated than the idealized model of the simple transverse wave with a perfect sinusoidal shape. The cycle of the tides from the Moons gravitational pull also plays a small role in creating waves. The opposite of a longitudinal wave is a transverse wave, in which the displacement of the mediums parts takes place in a direction perpendicular to the waves direction of travel. Direct link to Captain Flash101's post what happens if both type, Posted 12 days ago. here its written "Sometimes people forget wave speed isn't the same as the speed of the particles in the medium" but wont the increase in particle speed increase wave speed. The work to produce a big wave amplitude requires both large forces and displacements, which results in more wave energy. Points A, C and E on the diagram above represent compressions and points B, D, and F represent rarefactions. EnEfci ]&fw:1_QU#(&EtGOqPQ*Vx.YaL&*h^Df8j>,L8{RXg8 u7aThud$LSay{4!hD.0N,Goo , Even radio waves are most easily understood using an analogy with water waves. The wavelength can be measured as the distance from crest to crest or from trough to trough. The waves on the strings of musical instruments are transverse (as shown in Figure 13.5), and so are electromagnetic waves, such as visible light. 3. . The stronger the wind, the more energy transferred. Hope it helps. - Definition & Examples, What are Sound Waves? Enrolling in a course lets you earn progress by passing quizzes and exams. This turns out to be equal to the time average of the elastic potential energy of the same part of the medium (recall that we had the same result for harmonic oscillators in the previous chapter). A non-periodic pulse, when reflected, will therefore not be stretched or squeezed, but it will be turned around back-to-front, since the first part to reach the boundary also has to be the first to leave. Hence, a mediums density will typically be a good proxy for its impedance, at least as long as the stiffness factor is independent of the density (as for strings, where it is just equal to the tension) or, even better, increases with it (as is typically the case for sound waves in most materials). If ocean waves work exactly like the idealized transverse waves, surfing would be much less exciting as it would simply involve standing on a board that bobs up and down in place, just like the seagull in the previous figure. Direct link to cattuongvy1804's post Hi, I would like to ask a, Posted 2 years ago. Transverse wave: students should move their hands back and forth. It is actually also relatively easy to produce a transverse wave on a slinky: again, just stretch it somewhat and give one end a vigorous shake up and down. a. high energy waves have high amplitudes Great practice activity or test review exercise. Why is the speed unchanged if speed is calculated by the wavelength and frequency and how does a change in medium cause the wave speed to change? Similarly, we can consider a plane sound wave as a longitudinal wave traveling in the \(x\) direction, where the density of the medium is independent of \(y\) and \(z\) (that is, it is constant on planes perpendicular to the direction of propagation). How do waves reach such extreme heights? Another way to see this is to dig in a little deeper into the physical meaning of the impedance. 4 0 obj where stiffness is some measure of how rigid the material is (how hard it is to compress it or, in the case of a transverse wave, shear it), whereas inertia means some sort of mass density. > N P K L M bjbjII | +c+c 8 3 , _ 4 &. Answer key included. For sound waves, the disturbance is caused by a change in air pressure, an example of which is when the oscillating cone inside a speaker creates a disturbance. At any given moment in time, a particle on the medium could be above or below the rest position. This book uses the In the case of a longitudinal wave, a wavelength measurement is made by measuring the distance from a compression to the next compression or from a rarefaction to the next rarefaction. This creates higher wavesan effect known as shoaling. 'The wave speed is how quickly the disturbance travels through a medium. Oscillations where particles are displaced perpendicular to the wave direction. Label & Draw Transersve Waves: Amplitude, Frequency, Wavelength, Crest, and Trough Anne Schmidt 8.22K subscribers Subscribe 1.2K 104K views 4 years ago ATOM, ELECTRON & PERIODIC TABLE Learn how. % Perhaps the most important (and remarkable) property of wave motion is that it can carry energy and momentum over relatively long distances without an equivalent transport of matter. Thermal Physics: Overview & Examples | What is Thermal Physics? A surfer negotiates a steep take-off on a winter day in California while his friend watches. Refraction Examples | What is Refraction? There's no constant in this formula. The time period of a wave is the time it takes for one full wave to pass a particular point. Resource comes in both PDF and Microsoft Word formats.This resource can be used as an introduction to new material or a study guide for a quiz. High amplitude for a transverse wave: students should move their hands back and forth a large distance. Waves move in different ways and have different properties. By a disturbance we typically mean a displacement of the parts that make up the medium, away from their rest or equilibrium position. Transverse waves are waves where the vibration is at right angles (90 degrees) to the direction of motion. 3 0 obj After a compression wave, some molecules move forward temporarily. It is, however, a little hard to draw the resulting pulse on a long spring with all the coils, so in Figure \(\PageIndex{2}\) below I have instead drawn a transverse wave pulse on a string, which you can produce in the same way. Interestingly, this result applies also to a transverse wave! A wave is a repeating pattern. Surface ripples on water, seismic S (secondary) waves, and electromagnetic (e.g., radio and light) waves are examples of transverse waves. <>>> OpenStax is part of Rice University, which is a 501(c)(3) nonprofit. 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Transverse Wave, In this wave oscillates perpendicular to the energy transfer. What are the effects of waves on a medium? Points C and J on the diagram represent the troughs of this wave. Indicate the interval that represents one full wavelength. Label the parts and include the measurements. For a sound wave in a solid, for instance, we can see from Eqs. Low amplitude for a longitudinal wave: student should push soft. The idea here is to regard each part of an elastic medium as, potentially, an oscillator, which couples to the neighboring parts by pushing or pulling on them (for an example of how to model this mathematically, see Advanced Topic 12.6 at the end of this chapter). Surface Waves Movement & Examples | What are Surface Waves? Since (amplitude)^2 is directly proportional to the energy a wave carries, it is a direct proportion. Specifically, for a sinusoidal wave we have, \[ \xi(x, t)=\xi_{0} \sin \left[\frac{2 \pi x}{\lambda}-2 \pi f t\right] \label{eq:12.3} .\]. Figure 2: The parts of the slinky in a longitudinal wave and the wave disturbance travel horizontally. Waves carry energy from one place to another. Direct link to Natrium Chloride's post Nope, increasing particle, Posted 4 years ago. A wave is a disturbance that travels or propagates from the place where it was created. The surfer would move side-to-side/back-and-forth vertically with no horizontal motion. A pulse wave is a gradual disturbance with only one or a few waves generated. Image credit: Adapted from OpenStax College Physics. The illustration below shows a series of transverse waves. Earthquakes also have surface waves that are similar to surface waves on water. This chapter deals with a very common type of organized (as opposed to incoherent) motion exhibited by extended elastic objects, namely, wave motion. The wave can be visualized as compressions and expansions travelling along the medium. Examples of media connected this way could be two different strings tied together, or two springs with different spring constants joined at the ends; or, for sound waves, it could just be something like water with air above it: a compression wave in air traveling towards the water surface will push on the surface and set up a sound wave there, and vice-versa. Since the displacements are added with their signs, one may get destructive interference if the signs are different, or constructive interference if the signs are the same. As in along the medium. Figure 1: The parts of the slinky in a transverse wave move vertically up and down while the wave disturbance travels horizontally.
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