A stretched steel string has linear mass density 3.0gm−1 and length 0.90m. It is kept under a tension of 81N. Assume the speed of transverse waves in the string depends only on the given parameters.
(a) Calculate the fundamental frequency of the string in this condition.
(b) The same string is now shortened to 0.60m without changing the tension. Determine its new fundamental frequency.
(c) Instead of part (b), suppose the original 0.90m string is kept but the tension is doubled. Find the fundamental frequency in this case.
a. (a) Fundamental frequency for given length and tension.
b. (b) New fundamental frequency after shortening.
c. (c) Fundamental frequency after doubling tension.