A centrifugal pump, whose operating characteristics at $1800$rpm are given in

the illustrative example $17\mathrm{.}5,$ is to be placed in a $6-$in$-$diameter pipe line and

used to deliver water from reservoir A to reservoir B$.$ The water$-$surface level in

$B$ is $10$ ft lower than in $A.$ The pipe line is $1500$ ft long, has a diameter of $6$ in

and $f=0\mathrm{.}03.$ The pump is located very close to reservoir $A.$ If the suction side of

the pump is set $5$ ft below the water$-$surface elevation of reservoir $A,$ at what

rate could water be reliably pumped? Assume the pump speed can be changed

to any value and the pump efficiency remains constant. The water

temperature is $50$ degrees $F.$ and this installation is in the mountains at

elevation $10000$ ft $.$

A$)$ Solve for the maximum reliable flow rate by computing $N_s$ using the

value of ${}_c$ suggested in the text.

B$)$ Determine the maximum operating speed of the pump below which

cavitation will not occur.

C$)$ What size homologous pump and rotative speed would you recommend

for this situation?