Question $2.$

The pump$-$turbine system in the Figure below draws water from the upper reservoir in the

daytime to produce power for a city. At night, it pumps water from lower to upper reservoirs to

restore the situation. For a design flow rate of $15,000ga\frac{l}{m}in$ in either direction, the friction

head loss is $17ft.$ Estimate the power in $kW($a$)$ extracted by the turbine and $($b$)$ delivered by

the pump. The specific weight of water is $62\mathrm{.}4l\frac{b}{f}{t}^3.($Note: Gallon $=0\mathrm{.}133681f{t}^3,$min$=3600$

$s.$ Density of water is $62\mathrm{.}4lb\frac{s}{f}{t}^3.$