Question: (a) Determine as a function of w. (b) At what angular speed will the surface of the liquid touch the bottom? At what speed will

(a) Determine as a function of w.
(b) At what angular speed will the surface of the liquid touch the bottom? At what speed will it spill over the top?
(c) Suppose the radius of the container is 2 ft, the height is 7 ft, and the container and liquid are rotating at the same constant angular speed. The surface of the liquid is 5 ft below the top of the tank at the central axis and 4 ft below the top of the tank 1 ft out from the central axis.
(i) Determine the angular speed of the container and the volume of the fluid.
(ii) How far below the top of the tank is the liquid at the wall of the container?

wr? y =h + 2g

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