Task id16409

An open vessel filled with water to a height h = 10 cm is rotated with a constant angular velocity in a vertical plane on a rope of such length that the distance from the end of the rope to the bottom of the vessel is l = 80 cm. At what minimum angular velocity must this vessel be rotated so that the water didn't it spill out? How many times is the tension in the rope greater than the force of gravity acting on a container of water at the moment when the container passes through the lowest point?