One type of steel has density `7800 kg//m^(3)` and will break if the tensile stress exceeds `7.0 xx 10^(8) N//m^(2)`. You want to make a guitar string using `4.0 g` of this type of steel. While in use, the guitar string must be able to withstand a tension of `900 N` without breaking.
(a) Determine the maximum length and minimum radius the string can have.
(b) Determine the highest possible fundamental frequency of standing waves on this string, if the entire length of the string is free to vibrate.

Answer

(a) `0.40 m, 6.4xx10^(-4) m`
(b) 376 Hz