Wavelength to Sound Frequency Calculator

Formula

To calculate the frequency (f):

\[ f = \frac{v}{\lambda} \]

Where:

\(f\) is the Frequency in Hz
\(v\) is the Speed of Sound in m/s
\(\lambda\) is the Wavelength in meters

What is Sound Frequency?

The frequency of a sound wave is the number of vibrations or cycles per second. It is inversely proportional to the wavelength of the wave and directly proportional to the speed of sound in the medium. The frequency determines the pitch of the sound we hear.

Example Calculation 1

Let's assume the following values:

Wavelength (\(\lambda\)) = 1.6333 meters
Speed of Sound (\(v\)) = 343 m/s (in air at 20°C)

Using the formula:

\[ f = \frac{343}{1.6333} \approx 210 \text{ Hz} \]

The frequency is approximately 210 Hz.

Example Calculation 2

Let's assume the following values:

Wavelength (\(\lambda\)) = 2.962 meters
Speed of Sound (\(v\)) = 1481 m/s (in water at 20°C)

Using the formula:

\[ f = \frac{1481}{2.962} \approx 500 \text{ Hz} \]

The frequency is approximately 500 Hz.