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Bernoulli Continuity Water Jet Problem

  1. Oct 3, 2007 #1
    1. The problem statement, all variables and given/known data
    A disk with mass M=5.0 lbm is constrained horizontally but is allowed to freely move vertically. The disk is struck from below by a vertical jet of water the water jet has a velocity V=35ft/s and a diameter d=1 inch at the exit of the nozzle.
    (a) Derive the general expression for the speed of the water jet as a function of height h
    (b) what is the height which the disk rises to and will remain stationary?

    2. Relevant equations
    Bernoulli's equation: P1/rho1+g*h1+V1^2/2=P2/rho2+g*h2+V2^2/2
    Continuity equation

    3. The attempt at a solution
    Basically i've figured out that i need to use both Bernoulli's equation and the continuity expression to solve this, but i can't seem to figure out how they fit together. I'm stuck...
  2. jcsd
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