Answer
$\omega=9.13rad/s$
Work Step by Step
The speed at which the fishing line is wound is $$v=\frac{2.6m}{9.5s}=0.274m/s$$
This speed is also the tangential speed at the outer edge of the reel whose radius $r=3cm=0.03m$. Therefore, the angular speed of the reel is $$\omega=\frac{v}{r}=9.13rad/s$$
