Question $1(20$min$)$ : Water in being discharged in the Venturi meter below. The difference in pressure is measured using the U$-$tube manometer containing air.

a$)$ Write out the system equations that can be used to calculate the discharge $($volumetric flowrate$).$

b$)$ Find the discharge.

c$)$ How is total pressure at point $2$ compared to the one at point $1?$ Explain.

d$)$ For a pressure of $2$ kPa at point $1,$ what is the force acting on the tube?