Question $1$

Water is being pumped at $60F$ from reservoir A to reservoir B using the $32-$in pump of the figure below. The elevation difference between the $2$ reservoirs is $120ft.$ Water will flow inside a $16-$in diameter pipe with a friction factor $f=0\mathrm{.}03.$ Minor pressure losses are neglected.

Determine $($at operating point$)$:

$($a$)$ Volume flow rate

$($b$)$ Required Power input

$($c$)$ Pump efficiency

$($d$)$ How using a $8-$in diameter pipe would affect the flow rate and pump efficiency?