A string or rope will break apart ifit is placed under too much tensile stress. Thicker ropescan withstand more tension without breaking because the thicker therope, the greater the cross-sectional area and the smaller the stress. Onetype of steel has density 7800 kg/m3 and will break if the tensile stressexceeds 7.0 * 10^8 N/m2. You want to make a guitar string from 4.0 gof this type of steel. In use, the guitar string must be able to withstanda tension of 900 N without breaking. Your job is to determine (a) themaximum length and minimum radius the string can have; (b) the highestpossible fundamental frequency of standing waves on this string, ifthe entire length of the string is free to vibrate.
A string or rope will break apart if
it is placed under too much tensile stress. Thicker ropes
can withstand more tension without breaking because the thicker the
rope, the greater the cross-sectional area and the smaller the stress. One
type of steel has density 7800 kg/m3 and will break if the tensile stress
exceeds 7.0 * 10^8 N/m2. You want to make a guitar string from 4.0 g
of this type of steel. In use, the guitar string must be able to withstand
a tension of 900 N without breaking. Your job is to determine (a) the
maximum length and minimum radius the string can have; (b) the highest
possible fundamental frequency of standing waves on this string, if
the entire length of the string is free to vibrate.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
