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Problem 15.6: Liquid flowing through narrower pipes

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Assume an ideal fluid (position is given in meters and pressure is given in pascals). The dark blue in the animation is a section of water (density 1000 kg/m3) as it flows through the pipes (assume they are cylindrical; that is, the vertical distances in the animation correspond to the diameter of the circular cross section). The pressure indicator can slide along the center of the pipes. Restart.

  1. What will the length of the dark blue region be in the narrowest tube?
  2. How fast will it go in the narrowest tube?
  3. What is the pressure in that tube?

Note: The format of the pressure is written in shorthand. For example, atmospheric pressure, 1.01 x 105 Pa, is written as 1.01e+005.

Problem authored by Anne J. Cox.

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