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Cross section of a stream flowing from a hole

  1. Jan 16, 2012 #1
    1. The problem statement, all variables and given/known data

    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.
    cylinder.jpg

    2. Relevant 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.
     
  2. jcsd
  3. Jan 16, 2012 #2
    Hint: After the stream leaves the tank, does its velocity remain constant?
     
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