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Published bySylvia Hart Modified over 9 years ago
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Wave Calculations
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There are different physical parts of a wave. Amplitude, Crest, Trough, Wave Length
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Wave Speed But what if I want to know how long it takes for a wave to travel or how many waves go by in a second? Do I have to stand there and count waves? Answer: NOPE! We can use math.
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Period Period is how long it takes for one wave length to pass by or one full rotation of a particle. Period is represented by the symbol “T”. It is measured in seconds.
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Frequency Frequency is how many waves can pass by in a given time frame. (How rapidly the vibrations occur). The symbol for Frequency is: It is measured in hertz (Hz). 1 Hz is 1 wave per second.
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Frequency and Period Equation The more waves per second the faster each wave is traveling. That means Frequency and the Period are related. Frequency = 1/Period Written as symbols:
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Wave Speed You already know the formula for speed: So lets apply that to waves: – Wave speed = wave length / Period – In symbols:
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Wave Speed But there is another way…. Since the frequency is 1/T I can multiply the wave length times the frequency. Wave speed = In symbols:
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The Medium Matters The speed of a wave depends upon the medium it is traveling through. State of the medium, the type of medium and the temperature of the medium all matter.
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The Type of Wave Matters The type of wave also determines the speed. Electromagnetic waves do not need a medium. All electromagnetic waves travel through a vacuum at c = 2.99792458 x 10 8 m/s. Put them in a medium and they get bounced around.
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Doppler Effect How a wave sounds (pitch) depends upon the frequency. Meaning the more waves pass by in a second the higher the pitch. This can be created by the Doppler effect.
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