$Pr2(50$ pt$)$: The $17$ in impeller diameter pump given below, operating at $1770$ rpm is to pump $3500$ gpm of water at $68F$ in the system shown below. The total length of pipe is $1500$ ft with $500$ ft on the suction side and $1000$ ft on the discharge side and the inner pipe diameter is $10$ in $.$ The surface of the left tank is $Z_1=100ft$ There are two $90$ deg regular elbows $(K=1\mathrm{.}5,$ both downstream of the pump$),$ and entrance $)=(0\mathrm{.}8$ and exit $)=(1\mathrm{.}0$ losses. The absolute roughness for cast iron is $0\mathrm{.}00085$ ft $.$ The density of the water is $68F62\mathrm{.}3lb\frac{m}{f}{t}^3,$ and the dynamic viscosity is $=6\mathrm{.}556{10}^{-4}lb\frac{m}{f}t-s.$

$($a$)(5$ pt$)$ Compute the minor friction losses.

$($b$)(5$ pt$)$ Compute major friction losses

$($c$)$ pt$)$ What is the head delivered by the pump?

$($d$)(10$ pt$)$ Determine the value of $z_2.$

$($e$))$ Compute the power delivered to the water by the pump.

$($f$)(5$ pt$)$ Compute the power supplied by the motor.

$($g$)(5$ pt$)$ What is the NPSHr for the pump for the flow condition.

$($h$)(10$ pt$)$ If the water is at $150F$ instead of $68F,$ what is the NPSHa at the pump inlet. Assume the left tank is at atmospheric pressure and the inlet line to the pump is at $z=25ft.$ Will cavitation occur at the inlet to the pump? Give all calculations to support your answer.