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12 January, 07:09

A slinky forms it's third harmonic standing wave when the input frequency is 24 Hz. What is the fundamental frequency of the slinky? Will an input frequency of 28 Hz create a standing wave? Explain your answer.

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  1. 12 January, 09:32
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    Answer: The fundamental frequency of the slinky = 8Hz

    An input frequency of 28 Hz will not create a standing wave

    Explanation:

    Let Fo = fundamental frequency

    At third harmonic,

    F = 3Fo

    If F = 24Hz

    24 = 3Fo

    Fo = 24/3 = 8Hz

    If an input frequency = 28 Hz at 3rd harmonic

    Let find the fundamental frequency

    28 = 3Fo

    Fo = 28/3

    Fo = 9.33333Hz

    Since Fo isn't a whole number, it can't create a standing wave
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