QUESTION $4$

During the practical component of the Water Engineering I module at the laboratory, a group of students observed the flow through an Orifice apparatus and saw that when the water above the $14$ mm orifice plate is $370$ mm $,$ the volume of water collected in a tank is $0\mathrm{.}0054m^3($area of tank x rise of water$)$ in $20$ seconds. If the co$-$ordinates of a point on the jet, measured from the vena$-$contracta are $0\mathrm{.}36$ m horizontal and $0\mathrm{.}095$ m vertical, verify the values of the coefficients $C_d,C_v$ and $C_c$ that the students should have recorded in their experimental results. Show all calculations and frechand drawings.

$(10)$

$[10$ Marks$]$