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Math Help - How to find an oscillations formula?

  1. #1
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    How to find an oscillations formula?

    The frequency or number of oscillations per second, F, of an object of mass m attached to a spring is inversely proportional to the square root of m.

    a) Write a formula for F in terms of m.

    Please help me find the formula for this problem. All I got is f(x) = m but I don't know if it is a sin or cos function. Also explain and show your work. Thanks.
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  2. #2
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    Quote Originally Posted by krzyrice View Post
    The frequency or number of oscillations per second, F, of an object of mass m attached to a spring is inversely proportional to the square root of m.

    a) Write a formula for F in terms of m.
    Put in your brain...

    "Blank is proportional to stuff" MEANS Blank = k*(stuff)
    "Blank is inversely proportional to stuff" MEANS Blank = k/(stuff)

    Thus, "F is inversely proportional to the square root of m." is trivially written:

    F = \frac{k}{\sqrt{m}}

    Done.
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    So what what does k mean in terms of the problem? The constant mass?
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  4. #4
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    It has a name. The "Constant of Proportionality".

    1) You need the formula.
    2) One test case.
    3) Then solve for 'k'.
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