g A special laboratory has been built, comprising of a room rotating with counter-clockwise angular velocity w around a fixed vertical axis. You are in this laboratory observing an experiment which consists of water draining from a circular pan through a centrally located hole at the bottom of the pan. Originally, the water had been allowed to come to rest in the laboratory relative to the laboratory so that you see no motion before the drain was opened. As the water in the pan drains, you observe the formation of a vortex. As the water drains, does the vorticity increase or decrease. Explain by using (a) Coriolis force (b) Helmholtz vortex laws You can assume that the Earth is an inertial reference frame.