Applied Hydraulics #$5\mathrm{.}5\mathrm{.}4.$

A $1\mathrm{.}75-$ft$-$diameter pipeline conveys water from reservoir $A$ to $B.$ The pipeline is $13,800ft$ long and has a Darcy$-$Weisbach friction factor of $0\mathrm{.}016.$ The water surface in reservoir $A$ is $14\mathrm{.}7ft$ higher than that of $B.$ Accounting for minor losses $($square$-$edged entrance and exit, swing type check valve, and two rotary valves$),$ determine the flow rate, pump head, and flow velocity. The pump characteristics are tabulated below.