JP$-4$ fuel $)=(0\mathrm{.}77$ flows through the Venturi meter shown in the figure below with a velocity of $5\frac{m}{s}$ in the $15-cm$ pipe. If viscous effects are negligible, determine the elevation, $h,$ of the fuel in the open tube connected to the throat of the Venturi meter.

Hint:

Apply mass balance to determine v$1$

Apply hydrostatics to determine $22$

Apply Bernoulli's equation between points $1$ and $2$ to determine $p1.$ Note that $z1=0$ and $z2=0\mathrm{.}20m.$

Apply hydrostatics, $h=p\frac{1}{g}.$