Guitar string physics problem?
A guitar string is made of nylon and has a diameter of 0.8mm. The elastic modulus of nylon is about 2.7 GPa (where 1 GPa = 10^9 Pa). If the string is tightened to a tension of 148N, by what percentage will its length be increased?
- az_lenderLv 71 month agoFavorite Answer
The cross-sectional area of the string is around
(pi)(0.4 mm)^2 = 5.03 x 10^(-7) m^2.
The stress on the string is F/A
= (148 N)/(5.03 x 10^(-7) m^2) = 0.2944 GPa.
So the "strain" is 0.2944/2.7 = 11%