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The water system in a suburban area consist of an old $20cm$ diameter pipe line $750m$ long which conveys water form a pump to a reservoir whose water surface is $105m$ higher than the pump. Water is pumped at the rate of $70\frac{L}{s}.$ the energy added by the pump using $20cm$ pipeline, assume $f=0\mathrm{.}033$

A pump taking water from a reservoir at elevation $0,$ pump it through a $300mm$ dia pipe over a hill whose summt is a elevation of $52m$ and $600m$ from the pump. The pipe continues $300m$ farther when it terminates in a $75mm$ nozzle. The pump is to deliver $170\frac{L}{s}$ and the gage pressure at the top of the hill is $430$kPa. Use $f=0\mathrm{.}02$ for all pipes and $Cv=C=0\mathrm{.}95$ for the nozzle. Neglect the head loss at the pipe before the pump. a$)$ what is the elevation at the nozzle b$)$ compute the energy added of the pump in hp$.$

Answers:

$3.$ HA $=136\mathrm{.}58$ m

$4.$ Elnozzle $=6\mathrm{.}6373$m

HA$=107\mathrm{.}9159$ m

hp$=241\mathrm{.}2484$ m