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Write a wave equation given the constants amplitude, frequency and speed

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One end of a long brass wire is moved up and down with simple harmonic motion (SHM), with amplitude 0.08 m and a frequency of 45 cycles per second. The wave travels along the wire at a speed of 80 m/sec.
Write the wave equation in terms of k and angular frequency w.

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The solution writes a wave equation given the constants amplitude, frequency and speed. With explanations and formulas, the problem is solved.

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