A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by the liquid at the other end is :

Question

Dr. Abubacker · Accepted Answer

[Solution from source] The liquid moves in circles about the axis and its centre of mass is at L/2, so the net centripetal force needed is Mω²(L/2). This force is provided by the closed far end of the tube, so the liquid presses on it with MLω²/2. Expressions with L² have the wrong dimensions for a force. Answer (1).

Q. A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by the liquid at the other end is :

Explanation

Reviewed by Dr. Abubacker

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