Standing Wave on String

f_{n} = \frac{n}{2 L} \frac{T}{μ}

Resonant frequencies for string fixed at both ends.

Variables

f_n

Resonant frequency

nth harmonic

Hz

n

Harmonic number

Integer 1, 2, 3...

unitless

L

String length

Fixed at both ends

m

T

Tension

String tension

N

μ

Linear density

Mass per length

kg/m

Derivation

λ_n = 2L/n, f_n = v/λ_n = (n/2L)√(T/μ).

Your notes

0/5000