If the angular frequency of the motion of a simple harmonic oscillator is doubled,by what factor does the maximum acceleration of the oscillator change?
A)2
B)4
C)It does not change.
D)1/2
E)1/4

Question

Quizplus · Accepted Answer

The maximum acceleration of a simple harmonic oscillator is proportional to the square of the angular frequency (a max = -ω^2x). Therefore, if the angular frequency is doubled (ω' = 2ω), the maximum acceleration becomes four times greater (a max' = -(2ω)^2x = -4ω^2x). So the factor by which the maximum acceleration changes is 4.

If the Angular Frequency of the Motion of a Simple