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Homework Help: Stiffness (constant) of string/wire relationship to Amplitude/Energy output

  1. Apr 14, 2012 #1
    1. The problem statement, all variables and given/known data
    So i'm doing a string/wire telephone experiment where i'm using a signal generator to vibrate a wire at a certain input frequency. I am then taking results down for the Amplitude output. I'm not quite sure on the relationship between Stiffness constant K and Amplitude.
    I've worked out the stiffness constant for 3 wires Nichrome, Copper and Constantan, and just want to show the relationship between the stiffness from Hooke's law and the amplitude.

    2. Relevant equations
    F = KΔX
    Stored energy W = (1/2)KX2
    Amplitude ∞ Energy2

    3. The attempt at a solution
    I'm not sure if it's as simple as just finding the area under the Hooke's law graphs for each metal wire (up until it's no longer elastic/the non-liner part). As the stored energy in the stiffer wires would be greater, this energy is transferred into Kinetic energy for the wires which will vibrate faster and therefore give a greater amplitude.

    Would really appreciate some help, my calculations are all over the place!
  2. jcsd
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