Homework $18$: Due on or before $11$:$59$ pm Friday March $\backslash (6^\{\backslash$text $\{$th $\}\}\backslash )$

Water flows through a $180$ deg. reducing bend. Neither end is open to the atmosphere. The discharge is $0\mathrm{.}25\backslash (\backslash$mathrm$\{$m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash )$ and the pressure at the top inlet is $150$ KPa gauge. The bend itself weighs $500$ N $.$

$1.$ What reaction force in the $\backslash ($ x $\backslash )$ plane, $\backslash ($ F$\_\{$A x$\}\backslash ),$ is required to hold the bend in place? Positive $\backslash ($ x $\backslash )$ is to the right.

$2.$ What reaction force in the $\backslash ($ z $\backslash )$ plane, $\backslash ($ F$\_\{$A z$\}\backslash ),$ is required to hold the bend in place? Positive $\backslash ($ z $\backslash )$ is up$.$