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Standing Wave Speed? 
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#1
Jan2213, 08:46 PM

P: 27

My Friend and I were discussing standing waves and I made problem about speed, inspired off a concept taught in my Physics book: [itex]v = \sqrt {\frac {F_T}{m/L}}[/itex]. My Friend asked a very valid question: "How in the whole can you defined speed of a standing wave when it's not changing position?"  He understands the formula but not what velocity in a standing wave means. And he stumped me on it. I couldn't find an answer to that question.
Can you? 


#2
Jan2213, 09:31 PM

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P: 7,175

You can think of a standing wave as the superposition of two travelling waves moving in opposite directions.
For example ##\cos(x  vt)## and ##\cos (x + vt)## are two travelling waves, and their sum is ##\cos(x  vt) + \cos(x + vt) = 2\cos x \cos(vt)## which is a standiing wave. 


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