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Waves and Sound Chapter 16
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16.1 The Nature of Waves A Wave: 1.Traveling disturbance 2.Carries energy from place to place Two Different Types: 1.Transverse 2.Longitudinal
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Slinky If the end is jerked up and down, an upward pulse is sent traveling toward the right. If the end is then jerked down, a downward pulse is generated and also moves to the right.
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Transverse Wave Wave in which the disturbance occurs perpendicular to the direction of travel of the wave. Ex. Radio waves, light waves, microwaves, guitars and banjo strings
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Longitudinal Wave The disturbance occurs parallel to the line of travel of the wave. Ex. Sound wave
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Transverse and Longitudinal Some waves have both. Water waves Particles at the surface move on nearly circular paths.
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16.2 Periodic Waves Transverse and longitudinal waves are types of periodic waves. Cycles or patterns that are produced over and over again by the source. Cycle: Amplitude A: maximum excursion of a particle of the medium from the particle’s undisturbed position. Distance between a crest, or highest point on the wave pattern, distance between a trough, or lowest point on the wave pattern. Wavelength: horizontal length of one cycle of the wave, horizontal distance between two successive crests.
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Period T: time required for one complete up/down cycle, just as it is for an object vibrating on a spring. Time required to travel one wavelength. Frequency: cycles per second or Hertz Hz
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Example Ex. One cycle of a wave takes one-tenth of a second to pass an observer, then ten cycles pass the observer per second. F = 1/(0.1s) = 10 cycles/s = 10 Hz
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Train example Fig 16.6 Train moves by at a constant speed v. The train consists of a long line of identical boxcars, each of which has a length and requires a time T to pass, so the speed is v = /T Same equation applies for a wave and relates the speed of the wave to the wavelength and the period T. Since the frequency of a wave is f = 1/T, the expression for the speed is
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Example 1: The Wavelengths of Radio Waves AM and FM radio waves are transverse waves consisting of electric and magnetic disturbances traveling at a speed of 3.00 x 10^8 m/s. A station broadcasts an AM radio wave whose frequency is 1230 x 10^3 Hz (1230 kHz on the dial) and an FM radio wave whose frequency is 91.9 x 10^6 Hz (91.9 MHz on the dial). Find the distance between adjacent crests in each wave.
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The distance between adjacent crests is the wavelength. Since the speed of each waves is v = 3.00 x 10^8 m/s and the frequencies are known, the relation v = f can be used to determine the wavelengths.
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Slinky Experiment HOMEWORK Pg. 504 1, 2, 3, 4, 5
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Terminology Crest: the top of a wave Trough: the bottom of a wave Amplitude: how far the material is displaced from rest (from crest to trough) Wavelength: the length of one full wave (between two identical points, like two crests) Speed: how fast the wave moves Frequency: how many waves there are in a certain amount of time.
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