# Stiffness (constant) of string/wire relationship to Amplitude/Energy output

1. Apr 14, 2012

### blahblah.

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!