Consider an object of mass $m$, e.g. an electron, moving in a straight line with constant non-relativistic velocity $\vec{v}$ in a vacuumed chamber, such that there are no collisions. Imagine the chamber as a sphere of radius $r$, and while the electron is exactly in the center, it rotates clockwise by an angle $\theta$ radians.
To find the point at which the electron hits the chamber, relative to the point that it would have hit if the chamber was not rotating, can I use 'simple' mechanics, i.e. without having to account for things like Coriolis force and rotating frames?