When an airplane rolls using ailerons, the ailerons itself are changing their state quite instantly. However, in order for the airplane to actually start to roll, it should take a considerable amount of time for it to reach, say, 90 degrees. This holds even if we discard the mass, which is quite insignificant in the case of a bird. This lag occurs because the airplane needs to move through the air, and thus it needs the air to roll.
A RC airplane or bird does not really move fast, say, 10 m/s. I would think that the slower you go through the air, the more time it will take to roll.
I have looked around for flight dynamics formulas, but I only found formulas too complicated for a layman like me to understand. Maybe I didn't find the correct terms for it. Can you help me out with some method to approximate this roll lag?
Note: The most important thing for me to get out of this is the time it takes for an average sized bird to roll 90 degrees, with a speed of about 10 m/s. Like, is it 1 ms, 10 ms, 100 ms, 1 s, or even larger? (I would personally think somewhere between 100ms-2s)