Equations
Fundamental frequency of a string fixed at both ends
Waves · id string_fundamental
f_1 = \frac{v}{2 L}
| Symbol | Quantity | Unit | Meaning | Usual range |
|---|---|---|---|---|
f | fundamental frequency | Hz | Lowest standing-wave frequency | 0 to 1e+06 |
v | wave speed | m/s | Speed of waves along the string | 0 to 10000 |
L | string length | m | Length between the fixed ends | 0.001 to 1000 |
Assumptions
- Both ends fixed
- Fundamental mode
Valid when
- No extra conditions.
Found by
Questions with these words retrieve this equation: standing wave, harmonic, fundamental, guitar string, pitch, note, frequency.
Source
OpenStax University Physics Volume 1, Chapter 16 (reference; entry written by the project). License: MIT. Entry confidence: 0.98.