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Math Help - hyperbolic assignment question

  1. #1
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    hyperbolic assignment question

    Hi all, Im having trouble with this question:

    A chain hangs so that its shape is of the form y=56ch(x/56).
    Determine correct to 4 SF

    a) the value of y when x is 35

    I simply plugged this into the calculator and got the answer 67.29

    and

    b) the value of x when y is 65.

    Im not sure how i rearrange the equation or what to do really at all.

    Thanks, Dan
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  2. #2
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    Quote Originally Posted by danieljamie View Post
    Hi all, Im having trouble with this question:

    A chain hangs so that its shape is of the form y=56ch(x/56).
    Determine correct to 4 SF

    a) the value of y when x is 35

    I simply plugged this into the calculator and got the answer 67.29

    and

    b) the value of x when y is 65.

    Im not sure how i rearrange the equation or what to do really at all.

    Thanks, Dan
    Does your calculator have a ch^{-1} button (I assume by ch you mean cosh ....?)

    If not, then you will first need to substitute the definition for ch (the one with the exponentials - can you do this? Please show your work).
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  3. #3
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    calculator

    Yes I do have the ch^{-1} button, but I am not sure how i rearrange the equation to find out what X is. How can I find X by using inverse cosh when it is X/56? Thanks, Dan
    Last edited by mr fantastic; September 25th 2009 at 03:00 AM. Reason: Fixed a glitch caused by copying and pasting the latex code.
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  4. #4
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    Quote Originally Posted by danieljamie View Post
    Yes I do have the ch^{-1} button, but I am not sure how i rearrange the equation to find out what X is. How can I find X by using inverse cosh when it is X/56? Thanks, Dan
    65 = 56 ch(x/56)

    => 65/56 = ch(x/56)

    => ch^{-1} (65/56) = x/56

    => x = 56 ch^{-1} (65/56) = ....
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  5. #5
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    Thankyou very much! Now I can get ahead in my assignments!

    Daniel
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