Water at $20C$ flows in a $1\mathrm{.}25m$ diameter vertical $100m$ concrete pipe at a flowrate of

$1\mathrm{.}1\frac{m^3}{s}.$ A $90$ bend is installed in between point $1$ and $2$ to change the direction of the

flow by $90.$ After the bend, the flow continues in a $1\mathrm{.}25m$ diameter horizontal $100m$

concrete pipe. The pressure at point $1$ is $12$ bar $(\frac{1}{b}ar={10}^5\frac{N}{m^2}).$

Assume a Darcy$-$Weisbach friction factor, $f=0\mathrm{.}019,$ and assume a minor head loss

coefficient due to the bend, $k=0\mathrm{.}131.{}_{H_{2}O}=997k\frac{g}{m^3}$;$g=9\mathrm{.}81\frac{m}{s^2}$

$($a$)$ Determine the major head loss due to the pipe friction between points $1$ and $2.$

$($b$)$ Determine the minor head loss due to the bend between points $1$ and $2.$

$($c$)$ Determine the pressure at point $2.$

$90$ mitered bend; $k=0\mathrm{.}131$

$p_2?$

$D=1\mathrm{.}25m$

$L=100+100=200m$

$Q=1\mathrm{.}1\frac{m^3}{s}$

$p_1=\frac{12}{b}ar$