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  4. A vertical tank with depth H is full with water. A hole is made on one side of the walls at a depth h below the water surface. At what distance from the foot of the wall does the emerging stream of water strike the foot?

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Q. A vertical tank with depth $H$ is full with water. A hole is made on one side of the walls at a depth h below the water surface. At what distance from the foot of the wall does the emerging stream of water strike the foot?

Mechanical Properties of Fluids

Solution:

Time taken by water to reach the foot
image
$t=\sqrt{\frac{2(H-h)}{g}}$
Velocity of water coming out of hole $v=\sqrt{2 g h}$
$\therefore $ Emerging stream of water strike the foot at, $x=v \times t$
$\therefore =\sqrt{2 gh } \times \sqrt{\frac{2( H - h )}{ g }} $
$=2 \sqrt{ h ( H - h )}$