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Periodic Waves: Calculate time given speed of a transverse wave, amplitude, distance.

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The speed of a transverse wave on a string is 450 m/s, while the wavelength is 0.18m. The amplitude of the wave is 2.0mm. How much time is required for a particle of the string to move through a total distance of 1.0 km?

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The step-by-step solution is easily understandable regarding periodic waves.

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speed = frequency * wavelength
450 m/s = frequency * 0.18 m
frequency = 450/0.18 per sec
= 2 500 per sec
Since amplitude = ...

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