Answer
The oscillation frequency of the wing tips is $2.5~Hz$
Work Step by Step
We can find the angular frequency $\omega$:
$a_m = A~\omega^2$
$\omega = \sqrt{\frac{a_m}{A}}$
$\omega = \sqrt{\frac{12~m/s^2}{0.050~m}}$
$\omega = 15.49~rad/s$
We can find the oscillation frequency:
$2\pi~f = \omega$
$f = \frac{\omega}{2\pi}$
$f = \frac{15.49~rad/s}{2\pi}$
$f = 2.5~Hz$
The oscillation frequency of the wing tips is $2.5~Hz$.