basic

Standing Wave Harmonic Frequencies on a String Calculator

f_n = n·v/(2L) — harmonics for a fixed-fixed string.

Calculates the harmonic frequencies f_n = n·v/(2L) for a string of length L fixed at both ends, with wave speed v = √(F/μ). Shows the first 5 harmonics.

Priya Venkatesan By Priya Venkatesan
Published Last reviewed 1 min read

Inputs

m
m/s

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

f_n = n·v/(2L); v = √(F/μ)

In depth

Calculates the harmonic frequencies f_n = n·v/(2L) for a string of length L fixed at both ends, with wave speed v = √(F/μ). Shows the first 5 harmonics.