Question

A guitar string transmits waves at

315 m/s, and oscillates at 370 Hz.
What is the length of the string?
(Unit = m)

Answer 1

The wavelength of the waves on the string is found using v = λf:

λ = v/f = 315/370 = 0.85135m

The first harmonic (fundamental) standing wave formed on the string has nodes only at the ends (see diagram in link) so:

String length = λ/2 = 0.85135/2 = 0.426m (to 3 sig. figs.)