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Thread: SAT Maths

  1. #1
    Newbie JLin7's Avatar
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    SAT Maths

    How would answer this question? Do you need to set up equations with variables?
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  2. #2
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    Re: SAT Maths

    You can set up two equations for the two different conditions:

    q_1 = \frac 1 2 n v_1^2

    q_2 = \frac 1 2 n v_2^2 \ = \ \frac 1 2 n (1.5 v_1)^2

    Then determine the ratio of q2 to q1.
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  3. #3
    Newbie JLin7's Avatar
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    Re: SAT Maths

    Let q1 be the dynamic pressure of the slower fluid moving with velocity v1, and let q2 be the dynamic pressure of the faster fluid moving with velocity v2. Then

    v^2=1.5v1

    Given the equation q=1/2nv^2, substituting the dynamic pressure and velocity of the faster fluid gives q2=1/2n(v2)^2. Since v2=1.5v1, the expression 1.5v1 can be substituted for v2 in this equation, giving q2=1/2n(1.5v1)^2. By squaring 1.5, you can rewrite the previous equation as

    q2=(2.25)(1/2)n(v1)^2=(2.25)q1

    Therefore, the ratio of the dynamic pressure of the faster fluid is

    q2/q1=2.25q1/q1=2.25

    Would this be the solution?
    Last edited by JLin7; Oct 28th 2016 at 05:05 AM.
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  4. #4
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    Re: SAT Maths

    Quote Originally Posted by JLin7 View Post
    Therefore, the ratio of the dynamic pressure of the faster fluid is

    q2/q1=2.25q1/q1=2.25

    Would this be the solution?
    Yes indeed! Although you have a typo in your first equation - that should be v2=1.5v1 instead of v^2=1.5v1.
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