The water level in

Problem $4(15$ points$)$

The figure below depicts a water supply inlet that is submerged in a lake at a depth of $h=0\mathrm{.}5m.$ Cross$-$sections $1$ and $2$ of the inlet are both under pressure and are located at an elevation of $6\mathrm{.}5$ and $2\mathrm{.}0m,$ respectively above the bottom of the lake. Cross$-$section $1$ does not open to the atmosphere as the pipe continues beyond that point. The flow velocities at cross$-$sections $1$ and $2$ of the inlet are uniformly distributed and measured to be equal to $7\mathrm{.}96\frac{m}{s}$ and $2\mathrm{.}46\frac{m}{s},$ respectively. a$)$ Is the Bernoulli equation applicable here? Why? b$)$ Find the pressure at cross$-$section $1$ and comment on its value relative to the atmospheric pressure.

Werna

$V_1=7\mathrm{.}96\frac{m}{s}$

$V_2=2\mathrm{.}46\frac{m}{s}$

$h=0\mathrm{.}5m$

$h_1=6\mathrm{.}5m$

$h_2=2m$

$P_2=$Patm