Angular displacement
= Angular displacement
{title2=$\Delta\phi=\int_{t_0}^{t_1}\omega(t)\,dt$}
The signed accumulated rotation about a specified fixed axis. Unlike an angle specified only modulo $2\pi$, <angular displacement> counts complete revolutions as well as the final orientation. Its <derivative> with respect to <time> is <angular velocity>. The displayed formula therefore follows from the <fundamental theorem of calculus>.