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A horizontally oriented tube AB of lengt...

A horizontally oriented tube AB of length l rotates with a constant angular velocity `omega` about a stationary vertical axis `OO^'` passing through the end A (figure). The tube is filled with an ideal fluid. The end A of the tube is open, the closed end B has a very small orifice. Find the velocity of the fluid relative to the tube as a function of the column "height" h.

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