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  4. At what speed, the velocity head of water is equal to pressure head of 40 cm of mercury?

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Q. At what speed, the velocity head of water is equal to pressure head of $40\, cm$ of mercury?

Mechanical Properties of Fluids

Solution:

$\frac{1}{2} \rho_{\text {water }} V^{2}=\rho_{\text {mercury }} g h$
$V=\sqrt{2 \times \frac{\rho_{\text {mercury}}}{\rho_{\text {water }}} \times g \times h}$
$=\sqrt{2 \times 13.6 \times 9.8 \times \frac{40}{100}}$
$\Rightarrow V=10.32\, m / s$