Conservation Question (Look at description for more details; PHYSICS Related)

Question

A large container of water is open to the air and develops a hole with area 10 cm² (.001 m²) at a point h below the surface of the water. If the water leaves the hole with a flow rate of 0.0033 m³/s, what is the distance h, between the surface of the water and the hole (in m) ?

Answer 1

If Q=.0033 m3/s through a hole with A=.001 m2 then the avg velocity is approximately Q/A=3.3 m/s. The flow out has an energy of v²/2g m and that is equal to the level of water above the hole or .555 m