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Homework Help: Pressure measuring device sensitivity

  1. Nov 12, 2008 #1
    1. The problem statement, all variables and given/known data
    An inclined tube reservoir manometer is constructed as shown in the figure. Analyze the manometer to obtain a general expression for the liquid deflection L in the inclined tube in terms of the applied pressure difference [itex] \Delta p[/itex]. Also obtain a general expression for the manometer sensitivity, and determine the parameter values that gives maximum sensitivity

    2. Relevant equations
    The diameter of the large area is D
    diameter of the tube is d
    H is the difference in heights between the h and H
    SGL is the specific gravity of the liquid in question

    3. The attempt at a solution
    I already solved for L and that expression is used to get the sensitivity
    i have no problem getting the sensitivity which is given as
    [tex] S=\frac{L}{h_{e}}=\frac{1}{SG_{L}\left(\sin\theta+\left(\frac{d}{D}\right)^2\right)}[/tex]

    but they ask to maximize the sensitivity
    should i simply differentiate D with respect to theta, D and d and then determine the critical points?

    is this enough to maximize sensitivity or i there more i should consider?

    thanks for your help

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  3. Nov 27, 2008 #2
    can anyone offer any help or input?

    thanks a lot
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