Sound Wavelength Calculator

Formula

To calculate the wavelength (λ):

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

Where:

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

What is a Sound Wavelength?

The wavelength of a sound wave is the distance between successive crests (or troughs) of the wave. It is inversely proportional to the frequency of the wave and directly proportional to the speed of sound in the medium. The wavelength determines the pitch of the sound we hear.

Example Calculation 1

Let's assume the following values:

Frequency (\(f\)) = 210 Hz
Speed of Sound (\(v\)) = 343 m/s (in air at 20°C)

Using the formula:

\[ \lambda = \frac{343}{210} \approx 1.6333 \text{ meters} \]

The wavelength is approximately 1.6333 meters.

Example Calculation 2

Let's assume the following values:

Frequency (\(f\)) = 500 Hz
Speed of Sound (\(v\)) = 1481 m/s (in water at 20°C)

Using the formula:

\[ \lambda = \frac{1481}{500} = 2.962 \text{ meters} \]

The wavelength is 2.962 meters.