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

  1. String vibration — Wikipedia contributors

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