CE $3273$ Water & Waste Systems $/$ HW #$10$

A water system with two valves is shown in Fig. $1$ and Table $1.$ Pump is located $6$ ft below the surface of the source tank. show complete hand calculation and graph to determine,

a$)$ pump operation point, $Q=$

GPM$,$ H$=$

ft

b$)$ operation efficiency, Eff $=$

$\%$

c$)$ input horsepower to the pump, Power $=$

HP

Table $1.$ Characteristics of $14\mathrm{.}74$ in diameter pump @ $1800$ rpm

$\backslash$table$[[$Q $($GPM$),H(ft),W(hp),$Efficiency $(\%)],[0,230,76\mathrm{.}5,0],[1000,228\mathrm{.}5,107,54],[2000,221,142\mathrm{.}3,78\mathrm{.}4],[3000,200\mathrm{.}5,174\mathrm{.}5,87],[3500,183\mathrm{.}5,185,87\mathrm{.}6],[4000,157,189\mathrm{.}5,83\mathrm{.}7]]$

Fig $1.$ Diagram of Pump System

Use the minor loss coefficients, K $,$ as $K_{\text{c}\text{h}\text{e}\text{c}\text{k}\text{v}\text{a}\text{l}\text{v}\text{e}}=3\mathrm{.}0,K_{\text{c}\text{o}\text{n}\text{t}\text{r}\text{o}\text{l}\text{l}\text{v}\text{a}\text{l}\text{v}\text{e}}=5\mathrm{.}5,K_{\text{e}\text{n}\text{t}\text{r}\text{a}\text{n}\text{c}\text{e}}=0\mathrm{.}5,K_{\text{e}\text{x}\text{i}\text{t}}=1\mathrm{.}0,$ and $K_{\text{t}\text{e}\text{e}}=1\mathrm{.}4*f=0\mathrm{.}022$