$3.$ Water is discharged through the $40-$ mm $-$diameter elbow at $\backslash (0\mathrm{.}012\backslash$mathrm$\{$~m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash ).$ The pressure at A is $160$ kPa and the mass of the elbow and water in it is $20$ kg $.$ Determine the water flow velocity through the elbow and the force the elbow exerts on the pipe. $[4+20$ points$]$

Flow Direction and Velocity Components:

Is there a specific direction for the water flow before and after the elbow? The diagram suggests a change in direction $($possibly from horizontal to vertical$),$ but confirmation of the exact flow direction and angles is important for resolving momentum forces in the xxx$-$ and yyy$-$directions.

Pressure Details:

The pressure at point AAA is given as $160$kPa$160\backslash ,\backslash$text$\{$kPa$\}160$kPa. Are there any other pressure readings downstream $($e$.$g$.,$ at the outlet of the elbow$),$ or should we assume atmospheric pressure at the outlet?

Gravitational Effects:

Should gravitational effects $($due to elevation change$)$ be considered? If so$,$ what is the height difference between the inlet and outlet of the elbow?

Pipe Orientation:

Is the pipe at point AAA horizontal or at an angle? This can influence the force calculations if gravity is included.

Elbow Mass and Support:

Is the elbow rigidly fixed, or does it have any motion or flexibility that affects the force exerted on the pipe? This would clarify if the system is in dynamic equilibrium.

Outlet Condition:

What is the condition at the outlet of the elbow $($e$.$g$.,$ open to the atmosphere$)?$ This can influence pressure force calculations and velocity continuity.