The pump shown in Fig.

$4$

$$adds a

$15$

$-$

ft head to the water

$($

$\backslash$

rho

$=$

$1\mathrm{.}94$

$$slugs

$/$

f

$$

$3$

$$

$=$

$2\mathrm{.}34$

$$x

$1$

$0$

$-$

$5$

Ibf

$*$

s

$/$

f

$$

$2$

$$and

$$

$=$

$62\mathrm{.}4$

$$llf

$/$

f

$$

$3$

being pumped from the upper tank to the lower tank. If the pipe has a roughness

$\backslash$

epsi

$=$

$0\mathrm{.}003$

$$ft

$,$

$$determine the flow rate Q

$.$

$$Use f

$=$

$0\mathrm{.}03$

$$as the initial guess then the following equation for the remaining iterations until converges to the thousandth decimal

place.

$($

Note:

$1$

$$psi

$=$

$144$

$$Ibf

$/$

f

$$

$2$

$$and

g

$=$

$32\mathrm{.}2$

ft

$/$

$$

$2$