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  4. A vessel containing water has area of cross- section 16 cm 2 . A small square hole of side 1 cm is at the bottom. What will be the time taken by the water to empty the vessel if vessel is filled up to the height of 32 cm ? ( g =9.8 m / s -2)

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Q. A vessel containing water has area of cross- section $16 cm ^{2} $. A small square hole of side $1 cm$ is at the bottom. What will be the time taken by the water to empty the vessel if vessel is filled up to the height of $32 \,cm$ ? $\left( g =9.8 m / s ^{-2}\right)$

Mechanical Properties of Fluids

Solution:

$t=\frac{A}{A_{0}} \sqrt{\frac{2 H}{g}}=\frac{16 \times 10^{-4}}{1 \times 10^{-4}} \sqrt{\frac{2 \times 32 \times 10^{-2}}{9.8}}$
$t=\frac{16 \times 8 \times 10^{-1}}{\sqrt{0.8}}=\frac{12.8}{313}=4.08 \sec$