contestada

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

Respuesta :

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

    [tex]v_{max}[/tex] = [tex]Aw[/tex]

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

  Since  [tex]w = 2 \pi f[/tex]

      [tex]v_{max}^{|}/v_{max} = 2f/f[/tex] = 2

  Where [tex]v_{max}^{|}[/tex] is the maximum speed when frequency is doubled .