Question

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

Answer 1

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 .