Cross section of a stream flowing from a hole

rbwang1225 · Jan 16, 2012

Homework Statement

Consider a cylindrical tank filled with water with 2.5-m depth. The water emerges from a small hole at the center of the bottom, as shown in the figure. The diameter of the hole is 1 mm. The cross-section area of the vertical water stream decreases as it falls. Find the diameter of the water stream at the position 7.5 m from the hole.

Diagram of a water tank with a 2.5 m water depth, with a 7.5 m vertical fall below the bottom hole, and the stream diameter labeled d = ?.

Homework Equations

I think I have to address the continuity equation [itex]v_{1}a_2=v_2a_2[/itex], but I don't know how to start.

Any help would be appreciated.

LawrenceC · Jan 16, 2012

Hint: After the stream leaves the tank, does its velocity remain constant?

Cross section of a stream flowing from a hole

Homework Statement

Homework Equations

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