Lesson 2 Properties of Waves Lesson Review Answers
The Anatomy of a Wave
A transverse wave is a wave in which the particles of the medium are displaced in a direction perpendicular to the management of free energy transport. A transverse wave can be created in a rope if the rope is stretched out horizontally and the stop is vibrated back-and-forth in a vertical direction. If a snapshot of such a transverse wave could be taken then as to freeze the shape of the rope in fourth dimension, then it would await like the following diagram. The dashed line drawn through the center of the diagram represents the equilibrium or rest position of the string. This is the position that the cord would assume if there were no disturbance moving through it. Once a disturbance is introduced into the string, the particles of the string begin to vibrate upwards and downwards. At whatsoever given moment in time, a particle on the medium could be above or below the remainder position. Points A, Eastward and H on the diagram represent the crests of this wave. The crest of a wave is the point on the medium that exhibits the maximum amount of positive or upwards displacement from the rest position. Points C and J on the diagram represent the troughs of this moving ridge. 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. The wave shown in a higher place can be described by a variety of properties. One such property is aamplitude. The amplitude of a wave refers to the maximum amount of displacement of a particle on the medium from its rest position. In a sense, the amplitude is the distance from rest to crest. Similarly, the amplitude can be measured from the residual position to the trough position. In the diagram above, the amplitude could be measured every bit the distance of a line segment that is perpendicular to the residual position and extends vertically upward from the rest position to point A. The wavelength is another property of a wave that is portrayed in the diagram above. The wavelength of a wave is simply the length of one complete wave bicycle. If you were to trace your finger across the wave in the diagram above, you lot would notice that your finger repeats its path. A wave is a repeating pattern. It repeats itself in a periodic and regular fashion over both time and space. And the length of one such spatial repetition (known equally a wave cycle) is the wavelength. The wavelength can be measured every bit the distance from crest to crest or from trough to trough. In fact, the wavelength of a wave tin be measured equally the altitude from a signal on a wave to the corresponding betoken on the side by side cycle of the wave. In the diagram above, the wavelength is the horizontal distance from A to E, or the horizontal distance from B to F, or the horizontal distance from D to K, or the horizontal distance from Due east to H. Any one of these distance measurements would suffice in determining the wavelength of this wave. A longitudinal wave is a moving ridge in which the particles of the medium are displaced in a direction parallel to the direction of free energy transport. A longitudinal wave can be created in a slinky if the slinky is stretched out horizontally and the stop coil is vibrated back-and-forth in a horizontal direction. If a snapshot of such a longitudinal wave could be taken and so equally to freeze the shape of the slinky in time, then information technology would look like the following diagram. 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. A region where the coils are pressed together in a minor corporeality of space is known as a compression. A compression is a point on a medium through which a longitudinal wave is traveling that has the maximum density. A region where the coils are spread autonomously, thus maximizing the distance between coils, is known as a rarefaction. A rarefaction is a point on a medium through which a longitudinal wave is traveling that has the minimum density. Points A, C and E on the diagram higher up represent compressions and points B, D, and F represent rarefactions. While a transverse wave has an alternating pattern of crests and troughs, a longitudinal wave has an alternate pattern of compressions and rarefactions. As discussed higher up, the wavelength of a wave is the length of one complete cycle of a wave. For a transverse wave, the wavelength is determined by measuring from crest to crest. A longitudinal wave does non have crest; and then how can its wavelength be determined? The wavelength can always be adamant by measuring the distance between whatsoever two corresponding points on adjacent waves. In the case of a longitudinal moving ridge, a wavelength measurement is made by measuring the distance from a compression to the next pinch or from a rarefaction to the next rarefaction. On the diagram above, the distance from signal A to point C or from signal B to betoken D would exist representative of the wavelength. Consider the diagram beneath in society to answer questions #1-2. 1. The wavelength of the wave in the diagram above is given by letter ______. two. The aamplitude of the moving ridge in the diagram above is given by letter _____. 3. Indicate the interval that represents 1 full wavelength. a. A to C b. B to D c. A to G d. C to Thousand
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Why but read about information technology and when y'all could be interacting with it? Collaborate - that's exactly what you exercise when yous employ one of The Physics Classroom's Interactives. We would like to suggest that yous combine the reading of this page with the use of our Simple Wave Simulator. You lot can observe it in the Physics Interactives section of our website. The Simple Moving ridge Simulator provides the learner an environment to explore the stardom between longitudinal and transverse waves, the wavelength-frequency-menstruum relationship, sound waves as force per unit area waves, and much more. Check Your Understanding
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