Problem #$2(20$ points$)$

Water $)$

$()water(62\mathrm{.}4l\frac{b}{f}{t}^3$ is pumped through the pipeline depicted in the following figure $)=(0\mathrm{.}012$inch from the lower reservoir $($elevation $200ft$ to the upper reservoir at a rate $Q=7$ cfs$.$ The pump delivers $900HP$ to the system.

a$)10$ points. Find the water elevation in the upper reservoir. Consider major and all minor losses.

$K_{\text{e}\text{n}\text{t}\text{r}\text{a}\text{n}\text{c}\text{e}}=0\mathrm{.}5($reservoir to pipe$),K_{\text{b}\text{e}\text{n}\text{d}}=1\mathrm{.}2($only $1$ bend$),K_{\text{v}\text{a}\text{l}\text{v}\text{e}}=6\mathrm{.}0,K_{\text{e}\text{x}\text{i}\text{t}}=1\mathrm{.}0$

b$)10$ points. Sketch the energy and hydraulic grade lines $($a table of values is not required$).$