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Question $1$

The equation below shows the expression for calculating the inlet volumetric flowrate

$(Q)$ of a venturi meter that uses water and mercury. Water flows into the inlet with

cross$-$sectional area $(A_1)$ and through a reduced cross$-$sectional area $(A_2).$

$Q=C_D{A}_2\sqrt[\phantom{2}]{\frac{2({}_f-)gh}{(1-(\frac{A_2}{A_1}{)}^2)}}$

Calculate $Q$ if the density of water and mercury is $1000k\frac{g}{m^3}$ and $13600k\frac{g}{m^3},$

respectively, $A_1$ and $A_2$ is $0\mathrm{.}018m^2$ and $0\mathrm{.}05m^2,$ respectively, and the change in

height $h$ is $200$ mm $.$ The coefficient of discharge $(C_D)$ for the flow is $0\mathrm{.}90.$