A water tank has an orifice in the bottom of the tank. The height, h, of water in the tank is kept

constant by a supply of water which is not shown. A jet of water emerges from the orifice. The

cross-sectional area of the jet, A(z) is a function of the vertical distance, z. Neglecting friction

(viscous effects) and surface tension, and assume that the area of the tank's free surface is very

large compared with A(0).

Part a: Name all of your variables, including those provided, along with their units.

Part b: Write the equations you are going to use and their names or where they come from.

Part c: List appropriate simplifying assumptions.

Part d: Plug in your known values to calculate the velocity and pressure. Show that your units

work out.

Part e: Do any symbolic math needed to calculate the exit speed of the flow at the outflow of the

orifice (2-0). Note that the area A(0) at this location is the cross-sectional area at z = 0.

Part f: Find an expression for A(z) in terms of A(0), h and z, where A(0) is the cross-sectional

area at z = 0. Show which governing equation you used, and what assumptions you had to make

to get there.

Part g: If you conduct this experiment on the moon (g = 1.62 m/s²), safely inside your rocket,

would you get a wider, narrower or equal water jet at location z? Why?