#$2(50$ point$)$:

$4f\frac{t^3}{s},$ as sho pumped through $1400$ ft of pipe from the lower to upper reservoir at a rate of efficient.

$($a$)$ Find the velocity and Reynolds number of flow through pipe.

$($b$)$ Find the head loss due to friction, hi in ft$.$ Neglect minor losses.

$($c$)$ Compute the pump head, $h_p$ in $f$ and the pump power needed, $P_{\text{p}\text{u}\text{m}\text{p}}$ in horse power $($hp$).$

Given: Density of water, $p_{\text{w}\text{a}\text{t}\text{e}\text{r}}=1\mathrm{.}94$ slug $\frac{?}{f{t}^3}$; Viscosity of water, $=2\mathrm{.}05{10}^{-5}$ slug $\frac{?}{ffts}$; Friction factor from Moody Chan, $f=0\mathrm{.}021.$

Draw sketch and show all calculations.