Problem #$5$:

A pump in the system shown below draws water from a sump and delivers it to an open tank through $1250$ ft of new, $4$ nominal schedule $40$ commercial steel pipe. The vertical suction pipe is $5$ ft long and includes a foot valve with hinged disk and a $90$ standard elbow. The discharge line includes two $90$ standard elbows, an angle lift check valve, and a fully open gate valve. The design flow rate is $200$ gpm $.$ To do $($a$)$ Find the head losses in the suction and discharge lines, $($b$)$ Calculate the $NPS{H}_A,($c$)$ Determine the system resistance curve of the piping system, and $($d$)$ Sizing a Taco centrifugal pump for the flow rate of $Q=200gpm.$