If I have any given axis, e.g. $\frac{1}{\sqrt{2}}\left[ \begin{array}{ccc} 0 & -1 & 1 \end{array} \right]$ and a rotational speed of $\omega = 1.5$ [deg/s] around that axis. How can I check that I performed a full 360 rotation around the axis using only the angle measurements?
I know I can use a velocity formula $\omega = \frac{\theta}{\delta_t}$ but in this case I need to check the rotation using the angle.