Solution Found!
Section 15.6 ElasticityAn 80-cm-long, 1.0-mm-diameter
Chapter 15, Problem 26E(choose chapter or problem)
QUESTION:
An 80-cm-long, 1.0-mm-diameter steel guitar string must be tightened to a tension of 2000 N by turning the tuning screws. By how much is the string stretched?
Questions & Answers
QUESTION:
An 80-cm-long, 1.0-mm-diameter steel guitar string must be tightened to a tension of 2000 N by turning the tuning screws. By how much is the string stretched?
ANSWER:Step 1 of 2
Here we have to find the increase in the length of the string.
Here,
The steel string has a length of,
\(l=80 \mathrm{~cm}=0.80 \mathrm{~m}\)
The diameter of the string is,
\(D=1 \mathrm{~mm}=0.001 \mathrm{~m}\) .
So, the radius is,
\(r=D / 2=0.0005\)
The tension force in the string is,
\(F=2000 N\).