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Hydrostatics- rearranging formula

  1. Aug 22, 2012 #1
    1. The problem statement, all variables and given/known data

    Derive an equation for the pressure difference p – B in terms of ρM, ρ, L, θ, a, A
    and the acceleration due to gravity g

    2. Relevant equations

    (LHS p')= B+(ρm)g(Lsinθ+h+Δ) = (RHS p') P+ρg(Lsinθ+H)

    Δ=delta = La/A

    a= area of tube, A= area of reservoir

    h= ρH/ρm


    3. The attempt at a solution

    P-B= ρmg(Lsinθ+(ρH/ρm)+(La/A)) - ρg(Lsinθ+H)

    = (ρm-ρ)g(Lsinθ)+ (Lsinθ+(ρ/ρm)+(La/A)

    I was just wondering if this is the correct formula for P-B
     
  2. jcsd
  3. Aug 22, 2012 #2
    A sketch or more of a description of the problem would be helpful here.
     
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