Answer
Please see the work below.
Work Step by Step
We know that
$t=\frac{x}{v}=\frac{150}{25}=6s=\frac{6}{60}=0.1m$
We can find the angular frequency of flagellum as
$f=\frac{\omega}{2\pi}=\frac{600}{2\pi}=95rps=5700rpm$
We can find the number of revolutions as
$N=ft=(5700)(0.1)=570revolutions$
