Calculadora de Frecuencia de Resonancia

Calcula la frecuencia de resonancia de sistemas oscilantes. Determina la frecuencia natural a partir de los parámetros del sistema.

m/s
m

Open Pipe Frequency

343.00 Hz

Closed Pipe Frequency (odd n)171.50 Hz

Open Pipe Frequency vs Harmonic Number (n)

Fórmula

Resonance in Pipes

Standing waves form in pipes at specific frequencies determined by the pipe length and boundary conditions.

Open Pipe (both ends open)

f_n = n * v / (2L) where n = 1, 2, 3, ...

Closed Pipe (one end closed)

f_n = n * v / (4L) where n = 1, 3, 5, ... (odd harmonics only)

Ejemplo Resuelto

Fundamental frequency of a 0.5 m open pipe at 343 m/s.

  1. 01f_open = n * v / (2L)
  2. 02f_open = 1 * 343 / (2 * 0.5)
  3. 03f_open = 343 Hz
  4. 04f_closed = 1 * 343 / (4 * 0.5)
  5. 05f_closed = 171.5 Hz

Preguntas Frecuentes

Why do closed pipes only have odd harmonics?

A closed end must be a displacement node and an open end must be an antinode. This boundary condition only supports odd-numbered harmonics.

What is the fundamental frequency?

The fundamental is the lowest resonant frequency (n = 1), also called the first harmonic.

How do organ pipes produce different notes?

By varying pipe length. Longer pipes produce lower frequencies, shorter pipes produce higher frequencies.

Aprender

Understanding Newton's Laws of Motion

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