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sum_lecture06 - or leads the other Phase • What happens...

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The Physics of Light & Sound Properties of Waves Drs. Paulson and Scully GSCI 121 Summer 2011
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A wave is a disturbance or variation which travels through a medium. The wave speed depends on the medium. Particles in the medium do NOT travel with the wave . Waves transfer energy (but not matter) from a place to another and can do work. Properties of Waves
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We can characterize waves with three properties including wavelength , frequency , and wave speed . Properties of Waves λ f = c Wavelength λ Frequency f Wave Speed c Energy=E ~ A 2
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Properties of Waves What are the amplitude, period and frequency of the following wave? -4 -3 -2 -1 0 1 2 3 4 0 0.5 1 1.5 2
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Properties of Waves The period of a particular wave is 0.01 s. What is the frequency of this wave? The speed of light is 3 x 10 8 m/s. What is the frequency of a radio wave of wavelength 1 m? The speed of sound is 345 m/s. What is the wavelength of a sound wave of frequency 440 Hz?
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The phase of one of the waves could be different from the other. Phase is the angle within the cycle that one trails
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Unformatted text preview: or leads the other: Phase • What happens when we combine more than one wave? The principle of superposition says we just add the amplitudes directly to find the resultant wave. Superposition • What happens when the phase of one wave is different from the other? The result is another sine wave: Superposition • When waves are completely out of phase (that is they differ by 180 or π radians), they may completely cancel! Superposition • When waves add to produce a larger amplitude, we say that the waves constructively interfere . • When waves cancel one another out, we say that the waves destructively interfere . • Adding two waves of differing frequencies can produce beats . The beat frequency is the difference between the two frequencies of the waves being added. Superposition f beat = f 2-f 1 Beats Beats • This is how you tune an instrument. You count beats. Superposition f beat = f 2-f 1...
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