Vibrating String Fundamental
Ideal stretched-string fundamental frequency from length, tension, and mass per unit length.
Description
Ideal stretched-string fundamental frequency from length, tension, and mass per unit length.
Vibrating String Fundamental implements a focused acoustics calculation. Ideal stretched-string fundamental frequency from length, tension, and mass per unit length.1
When to use Vibrating String Fundamental
Use this calculation for a first-order acoustics estimate when the stated geometry, propagation model, averaging convention, reference quantity, and SI units match the measurement or design problem.
- Length Meters
- A finite measured or assumed value greater than or equal to 0, expressed in m.
- Tension Newtons
- A finite measured or assumed value greater than or equal to 0, expressed in N.
- Linear Density Kg Per Meter
- A finite measured or assumed value greater than or equal to 0, expressed in kg/m.
How Vibrating String Fundamental calculates the result
The implemented rule is: Ideal stretched-string fundamental frequency from length, tension, and mass per unit length.1
- Frequency Hertz
- The calculated frequency hertz, expressed in Hz.
Limitations of Vibrating String Fundamental
This is an idealized calculation rather than a complete acoustic simulation or measurement. Reflections, boundary conditions, directivity, damping, frequency dependence, near-field behavior, background noise, transducer response, temperature, humidity, and geometry can change a real result.
Alternative or Complementary measurements
Confirm important results with calibrated measurements or a model that includes the actual geometry, materials, boundaries, source directivity, and frequency-dependent losses. Preserve the reference quantity and weighting whenever a result is expressed in decibels.
References
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String vibration — Wikipedia contributors
Similar or alternative tools
- String Tension For Target Pitch
Tension needed for an ideal stretched string to reach a target fundamental frequency.
- Open Pipe Fundamental
Ideal first resonance of a pipe open at both ends, neglecting end corrections.
- Stopped Pipe Fundamental
Ideal first resonance of a pipe stopped at one end, neglecting end corrections.