Calcolatrice Frequenza di Risonanza Gratuita

Calcola la frequenza di risonanza di un 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)

Formula

## 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)

Esempio Risolto

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

Domande Frequenti

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.

Impara

Understanding Newton's Laws of Motion

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