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Question

a cylindrical container of radius r and height h is completely filled with a liquid. two horizontal l shaped pipes of small cross sectional area a are connected to the cylinder. now the two pipes are opened and fluid starts flowing out of the pipe horizontally in opposite direction. than the torque due to eject liquid on the system is

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Solution

Pressure at the bottom of the container, P=hρgThe force exerted by the water flow on the container, F=hρgaThe torque,
τ=F×2r=2hρgar

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