Calculateur de Vibration de Corde Gratuit
Calculez la fréquence de vibration d'une corde tendue. Déterminez les harmoniques selon la longueur, tension et masse.
Fréquence
207.83 Hz
Frequency vs Harmonic Number (n)
Formule
Vibrating String
A string fixed at both ends supports standing waves whose frequencies depend on string length, tension, and mass per unit length.
Formula
f_n = (n / 2L) * sqrt(T / mu)
where T is tension, mu is linear mass density (kg/m), L is string length, and n is the harmonic number.
Exemple Résolu
A guitar string: L = 0.65 m, T = 73 N, mu = 0.001 kg/m, fundamental.
- 01v = sqrt(T / mu) = sqrt(73 / 0.001) = sqrt(73000) = 270.2 m/s
- 02f = (1 / (2 * 0.65)) * 270.2
- 03f = 0.769 * 270.2
- 04f = 207.8 Hz
Questions Fréquentes
How does tightening a guitar string change the pitch?
Increasing tension increases the wave speed on the string, which raises the frequency and thus the pitch.
Why do thicker strings produce lower notes?
Thicker strings have greater linear density (mu), which reduces wave speed and lowers the frequency.
What are harmonics on a string?
Harmonics are integer multiples of the fundamental frequency. The second harmonic is twice the fundamental, the third is three times, and so on.
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