Rectangular Cavity Resonator Calculator

Resonance Frequency Formula:

\[ f = \frac{c}{2 \times L} \]

Resonance Frequency (Hz):

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1. What is a Rectangular Cavity Resonator Calculator?

Definition: This calculator determines the resonance frequency of a rectangular cavity based on its length and the speed of sound.

Purpose: It helps acoustics engineers and physicists calculate fundamental resonance frequencies for cavity resonator design and analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ f = \frac{c}{2 \times L} \]

Where:

\( f \) — Resonance frequency (Hertz, Hz)
\( c \) — Speed of sound (meters/second, m/s)
\( L \) — Cavity length (meters, m)

Explanation: The resonance frequency is determined by the speed of sound divided by twice the cavity length, representing the fundamental mode where the cavity length equals half the wavelength.

3. Importance of Resonance Frequency Calculation

Details: Accurate resonance frequency calculation is crucial for designing acoustic filters, noise control systems, and musical instruments.

4. Using the Calculator

Tips: Enter the cavity length in meters and speed of sound (default 343 m/s for air at 20°C). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What affects the speed of sound in the cavity?
A: Temperature, medium (air, water, etc.), and humidity all affect sound speed. The default 343 m/s is for dry air at 20°C.

Q2: Does this calculate all possible resonance frequencies?
A: No, this calculates only the fundamental frequency. Higher harmonics would be integer multiples of this frequency.

Q3: How does cavity width or height affect the result?
A: This simple calculator assumes length is the dominant dimension. For more complex calculations including width and height, use advanced acoustic modeling software.

Q4: What materials is this calculator valid for?
A: It works for any medium where sound propagates (air, water, metals), but you must use the appropriate speed of sound for that medium.

Q5: How accurate is this calculation?
A: It provides theoretical results. Real-world factors like wall material, damping, and temperature variations may affect actual resonance frequencies.