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Homework Help: Algebra Help for Bernoulli's Equation

  1. Jul 11, 2012 #1
    Solve for v1

    P1 + (1/2)ρv1^2 = P2 + (1/2)(v1r1^s/r2^2)^2

    I am attempting to solve this equation for v1, but I am getting stuck on some algebra. How do I solve for v1? I can't figure out how to do it without eliminating v1 altogether because I have a v1^2 on both sides of the equation.
    Last edited: Jul 11, 2012
  2. jcsd
  3. Jul 11, 2012 #2


    Staff: Mentor

    No on the left you have v1^s and on the right you v1^2 so you still have v1 around to solve for.
  4. Jul 11, 2012 #3
    I just caught that! I had intended v1^s on the left side to be v1^2
  5. Jul 11, 2012 #4


    Staff: Mentor

    so you're going to get something like

    (P1 - P2)

    = (1/2v1^2 * r1^2 / r2^2 - 1/2 * p * v1^2)


    so then factor out 1/2 and v1^2 then solve for v1
  6. Jul 11, 2012 #5
    I feel like a moron. Thank you very much.
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