Without seeing the question it's hard to determine what the actual answer is. Because you are talking about angular velocity and given the values you have provided you most likely need to calculate the moment of inertia which for a cylinder is 1/2mr^2. However you still need parameters such as...
You also want to be careful here when discussing "Potential Flow Theory" as this has a huge paradox. The integration states that yes lift can be generated, and it is generated. However the paradox states that the flow is "drag free" which defies the laws of physics. Be careful when using this...
In order to solve this problem use the Euler-Bernoulli principle for simple bending theory, it does also appear from your drawing that you have a "point end load" in oppose to uniformly distributed load.
This does make the answer somewhat easier to interpret