1. The problem statement, all variables and given/known data angular acceleration of line a= -2w^2 rad/s when theta=pi/6, w= 10 rad/s what is angular velocity when theta= pi/3? 2. Relevant equations chain rule 3. The attempt at a solution w= e^-2theta is my answer, but I know this is wrong I know that this question is really easy, but I just don't know how to get it
Well you should know that α= -2ω^{2} means that dω/dt = -2ω^{2} which is an easily solvable DE once you 'separate the variables' i.e. put all the things with ω on one side and t on the other then integrate both sides.
I now saw that you have ω and θ so forget my above post and replace α with ω*dω/dθ and integrate again. Do not forget the constant of integration which you can find with the conditions they gave you.