1. The problem statement, all variables and given/known data A guitarist has a problem that the E-string (330Hz) often breaks when tuning it. The string is made of Copper and it has a diameter of 0.3mm. After some quick calculations based on the length of the guitar neck we can determine that the wave velocity is 530m/s It is known that string on musical instruments often break if the tension exceeds 2% what advice would you give the guitarist to avoid breaking the strings? 2. Relevant equations I'm not sure what to calculate using youngs modulus. 3. The attempt at a solution I have been battling this problem for some time and I'm not sure exactly what the "answer" should be. I have approached it the following way. first I calculated the wave length λ=v/f, λ=530/330, λ=1.6m I then know that the length of the string is L=λ/2, L=0.8m since I know the length and diameter of the wire i looked up the density and calculated the mass of the string according to the following calculation m=A*L*ρ m= (∏*0.00015*0.00015)*0.8*8900 m=5.03E-4 kg I then calculated the linear mass density according to formula μ= 5.03E-4 /0.8 μ=6.29E-4 kg/m finally I can calculate the string tension F=v2*μ F=530*530*6.29E-4 = 177N So now I know that the string tension is 177N. I'm not sure exactly what to do with it. my prof gave me the tip to use youngs modulus. I looked up youngs modulus for Cu to be 120GPa. The equation looks like Y = (F/A)/(ΔL/L) but I'm not sure exactly what answer he is looking for. I think ΔL/L = 1.02 because of the maximum tension allowed is 2% Should I rearrange the equation to see which stress is required to extend the wire 2%? Any help appreciated.