If the frequency of the motion of a simple harmonic oscillator is doubled, by what factor does the maximum speed of the oscillator change?

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If the frequency of the motion of a simple harmonic oscillator is doubled, by what factor does the maximum speed of the oscillator change?

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Jezebel 3 years 2021-08-11T11:36:53+00:00 1 Answers 43 views 0

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  1. Vodka
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    2021-08-11T11:38:30+00:00
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    Answer:

    If the frequency of the motion of a simple harmonic oscillator is doubled , then maximum speed of the oscillator changes by the factor 2

    Explanation:

    We know that in a simple harmonic oscillator the maximum speed is given by

        v_{max} = Aw

      Here A is amplitude which is constant , so from above equation we see that maximum speed is directly proportional to w\\ of the oscillation .

      Since  w = 2 \pi f

          v_{max}^{|}/v_{max} = 2f/f = 2

      Where v_{max}^{|} is the maximum speed when frequency is doubled .

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