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 1.0km?


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  1. You know the speed of a transverse wave on a string is related to the frequency, and therefore to the period which is 1/frequency
    Now some people call amplitude the single amplitude of the motion from 0 to Ymaximum like A in y = A sin (2 pi f t) (others do the full motion from below to above)
    I will assume that to be the case in your class.
    in a period, the particle goes up A, then down 2 A then up A for a total motion of 4A
    So in a period it moves 4*(2*10^-3) meters
    av speed = that distance / peiod
    distance = av speed * time

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  2. actually you do not need the frequency because the period is wavelength/speed directly

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