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Homework Help: Solving for Spring Constant of Oscillating Spring

  1. Apr 6, 2010 #1
    1. The problem statement, all variables and given/known data
    A 7.0 kg mass is hung from the bottom end of a vertical spring fastened to the ceiling. The mass is set into veritcal oscillations with a period of 2.6s

    Find the spring constant.

    2. Relevant equations
    w = [tex]\sqrt{k/m}[/tex]
    w = 2pi * f
    f = 1/T

    3. The attempt at a solution
    f = 1/T
    = 1/2.6
    = 0.385 Hz
    w = 2pi * 0.385
    = 2.42
    w = [tex]\sqrt{k/m}[/tex]
    w = k/7
    5.85 = k/7
    k = 40.96

    Feel like my math could be wrong at the end there. Overall though, is this how its to be done? I tried using F = -kx...ma = -kx but I didn't have an 'x'.
  2. jcsd
  3. Apr 6, 2010 #2


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    Homework Helper

    Yes that is how it should be done. Don't have a calculator to check your answers though.
  4. Apr 6, 2010 #3


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    Homework Helper

    There is some rounding inaccuracy but otherwise it is correct.

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