Answer
$f=64Hz$
Work Step by Step
We know that,
$v=x\omega$
This can be written as:
$\omega=\frac{v}{x}$
Substituting the values and solving:
$\omega=\frac{16}{0.04}=400\frac{rad}{s}$
We also know that,
$\omega=2\pi{f}$
This can be written as;
$f=\frac{\omega}{2\pi}$
We plug in the known values to obtain:
$f=\frac{400}{2(3.1416)}=64Hz$