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Math Help - Difficult variable to solve for. includes hyperbolic cos.

  1. #1
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    Exclamation Difficult variable to solve for. includes hyperbolic cos.

    I have the equation y = 1/k * ln(cosh(SQRT(g*k)*t))

    My goal is to solve for k. This is for aerospace engineering and "k" includes a variable that I need.

    I have rearranged two ways already:
    1) k = (acosh2(eyk))/(g*t2)

    2) k = ln(cosh(SQRT(g*k)*t))/y

    I have NO IDEA as I am only a freshman. How do I get k to a single side? I would greatly appreciate help with this.

    Best regards,
    Dwight
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  2. #2
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    Re: Difficult variable to solve for. includes hyperbolic cos.

    You will not be able to get an explicit expression for k.
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  3. #3
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    Re: Difficult variable to solve for. includes hyperbolic cos.

    How can I remotely solve for it? I have MathCad available for use; however, we are expected to do this and I don't know where to start.
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    Re: Difficult variable to solve for. includes hyperbolic cos.

    That depends, do you have values of y and t to put in?
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    Re: Difficult variable to solve for. includes hyperbolic cos.

    yes I do. I have a table of data from an accelerometer.
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  6. #6
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    Re: Difficult variable to solve for. includes hyperbolic cos.

    You could try to use something like Newton's method...
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