A thin rod of mass $$0.9\,\text{kg}$$ and length $$1\,\text{m}$$ is suspended, at rest, from one end so that it can freely oscillate in the vertical plane. A particle of mass $$0.1\,\text{kg}$$ moving in a straight line with velocity $$80\,\text{m s}^{-1}$$ hits the rod at its bottom most point and sticks to it (see figure). The angular speed (in $$\text{rad s}^{-1}$$) of the rod immediately after the collision will be...........