String Vibration Calculator
Calculate the frequency of a vibrating string using f = (n / (2L)) * sqrt(T / mu).
आवृत्ति
207.83 Hz
Frequency vs Harmonic Number (n)
सूत्र
## 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.
हल किया गया उदाहरण
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
अक्सर पूछे जाने वाले प्रश्न
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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