I am modelling the motion of a wheel that should rotate at a constant speed over time. Think of a Ferris wheel or a car wheel.
I am trying to determine at what angle the wheel will be at about the center at any given time.
Rotating in a friction free, gravity-less perfect environment, such that r and m etc. are irrelevant.
My first guess would be something like this, but I have a feeling this won't hold true for all quadrants of the rotation.
Can anybody help? It's driving me wild and I won't be in front of a computer to help me figure it out for a good few days!
Furthermore, I then want to work out an equation to accelerate and decelerate the angle of the wheel rotating. So any help on that would be great too!
Many thanks in advance :)