Answer
$\omega=3.0rad/s$
Work Step by Step
We first find the formula for angular velocity as:
$\omega=\frac{d}{dt}\theta=\frac{d}{dt}0.30t^2=0.60t$
We then substitute $t=5$ in the above formula to find angular velocity at $t=5$:
$\omega_5=0.60(5.0)=3.0rad/s$
