A component on a high-frequency vibration test rig undergoes simple harmonic motion with an amplitude of oscillation s0 s_0\,s0 and a maximum speed v0v_0v0.
Which expression correctly represents the maximum acceleration amaxa_{\text{max}}amax of the component?
amax=v022πs0a_{\text{max}} = \frac{v_0^2}{2\pi s_0}amax=2πs0v02
amax=v02s0a_{\text{max}} = \frac{v_0^2}{s_0}amax=s0v02
amax=2πv02s0a_{\text{max}} = \frac{2\pi v_0^2}{s_0}amax=s02πv02
amax=4π2v02s0a_{\text{max}} = \frac{4\pi^2 v_0^2}{s_0}amax=s04π2v02