Physics - Rotation Question with Solution | TestHub

Given: initial angular velocity ${\omega }_0=0$ (starts from rest), angular acceleration $\alpha =2{\text{ rad/s}}^2$, time $t=5\text{ s}$. Using the rotational kinematic equation for angular displacement: $$\theta ={\omega }_{0}t+\frac{1}{2}\alpha t^2$$. Substituting the values: $$\theta =(0)(5)+\frac{1}{2}(2)(5{)}^2=0+\frac{1}{2}(2)(25)=25\text{ rad}$$.