It is quite intuitive that the linear speed for a point rotating around the origin at distance R is wR if w is the angular speed.
Since we are very much concerned about proofs in our math project, here is a proof.
I found it interesting how such an intuitive equation actually passes through quite some transformations, most relevantly, it is the chain rule and the trigonometric derivatives that play a crucial role, a little bit less intuitive than one might think!
