First slide
Fluid statics
Question

A tank with base area L2 is filled with a liquid to height H. The tank is accelerated horizontally with acceleration a as shown in figure. If a small hole is made at the point A, then it is observed that the liquid does not come out of the tank. The magnitude of acceleration should be

Moderate
Solution

The liquid will not come out of the tank at the point A if the free surface passes through the point itself.

 tan θ = 2HL = ag or a = (2HL)g

Note that volume of water in the tank remains constant.

 

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