Problem No$.4|||$ Determination of an operating point

Plot the system curve?

Determine, by highlighting at the plot, all possible operating points?

Select the operating point that corresponds to the maximum efficiency?

$,$ReadQ and $H_{\text{p}\text{u}\text{m}\text{p}}$ at this selected operating point?

How much is the delivered hydraulic power $(W_h^{})$ by the pump to the fluid?

How much is the supplied power by the motor to the pump?

The given condition is as follows: $L=80ft,D=4in,f=0\mathrm{.}025$

Hint: for $1,$ apply the energy conservation equation between point A and B $,$ consider only the major losses $(f(\frac{L}{D})\frac{V^2}{2g}),$ use the continuity to express V as $QA.$

for $6,$ take the advantage of the fact that the ${}_p$ and $W_h^{}$ are both known at this step.

Always remember this statement: Pump energy $(H_{\text{p}\text{u}\text{m}\text{p}})=$ elevation energy $({}_{A-B}$:$\frac{P}{}+\frac{V^2}{2g}+z)+$ friction energy $(h_{lT})$