The mass of a string is 9.1 × 10-3 kg, and it is stretched so that the tension in it is 240 N. A transverse wave traveling on this string has a frequency of 240 Hz and a wavelength of 0.42 m. What is the length of the string?

Answer 1

The speed of the transverse wave is
V = (frequency) x (wavelength)
= 100.8 m/s

V = sqrt(T/sigma)
where T is the tension (240 N) and sigma is the mass per unit length. Solve for sigma and use it to compute the length.

Length = (Mass)/(sigma)