Please use the equation in the image!

A reducing elbow is used to deflect water flow at a rate of $30$ kg$/$s in a horizontal pipe upward by an angle of $45\backslash$deg from the flow direction while accelerating it$.$ The elbow discharges water into the atmosphere. The cross$-$sectional area of the elbow is $150$ cm$2$ at the inlet and $25$ cm$2$ at the exit. The elevation difference between the centres of the exit and the inlet is $40$ cm$.$ The mass of the elbow and the water in it is $50$ kg$.$ Assume the flow is Inviscid.QUESTION $4$QUESTION $4$

$[$TOTAL MARKS: $35]$

A reducing elbow is used to deflect water flow at a rate of $30k\frac{g}{s}$ in a horizontal

pipe upward by an angle of $45$ from the flow direction while accelerating it$.$ The

elbow discharges water into the atmosphere. The cross$-$sectional area of the elbow

centres of the exit and the inlet is $40cm.$ The mass of the elbow and the water in

it is $50kg.$ Assume the flow is Inviscid.

Q$4($a$)$

$(\frac{r_1}{g}+\frac{v_1}{2g}+z_1)-(\frac{r_2}{g}+\frac{v_2}{2g}+z_2)$

$[10$ Marks$]$

Draw a clearly labelled FBD for the assembly.

Q$4($b$)$

$[10$ Marks$]$

Find the average velocity at the assembly exit $($Section $2)$

Q$4($c$)$

$[10$ Marks$]$

Find the pressure at the inlet of the assembly $($Section $1)$

Q $4($d$)$

$[5$ Marks$]$

Find the magnitude of the X$-$component of Force exerted by the fluid on the assembly.

$[$TOTAL MARKS: $35]$

A reducing elbow is used to deflect water flow at a rate of $30k\frac{g}{s}$ in a horizontal

pipe upward by an angle of $45$ from the flow direction while accelerating it$.$ The

elbow discharges water into the atmosphere. The cross$-$sectional area of the elbow

centres of the exit and the inlet is $40cm.$ The mass of the elbow and the water in

it is $50kg.$ Assume the flow is Inviscid.

Q$4($a$)$

$[10$ Marks$]$

Draw a clearly labelled FBD for the assembly.

Q$4($b$)$

$[10$ Marks$]$

Find the average velocity at the assembly exit $($Section $2)$

Q$4($c$)$

$[10$ Marks$]$

Find the pressure at the inlet of the assembly $($Section $1)$

Q $4($d$)$

$[5$ Marks$]$

Find the magnitude of the X$-$component of Force exerted by the fluid on the assembly.