In a precision timing calibration, a micro-electromechanical (MEMS) silicon cantilever undergoes simple harmonic motion with an amplitude AAA. The cantilever's maximum velocity is vmaxv_{\text{max}}vmax and its maximum acceleration is amaxa_{\text{max}}amax.
Which expression correctly gives the frequency f f\,f of the cantilever's oscillation?
f=amax2πvmaxf = \frac{a_{\text{max}}}{2\pi v_{\text{max}}}f=2πvmaxamax
f=vmax2πamaxf = \frac{v_{\text{max}}}{2\pi a_{\text{max}}}f=2πamaxvmax
f=12πamaxvmaxf = \frac{1}{2\pi}\sqrt{\frac{a_{\text{max}}}{v_{\text{max}}}}f=2π1vmaxamax
f=amax4π2vmaxf = \frac{a_{\text{max}}}{4\pi^2 v_{\text{max}}}f=4π2vmaxamax
