# Frequency Calculator

Use our frequency calculator to find a wave’s frequency given its length and velocity.

**Calculate:**

## Frequency:

### Frequency Formula

### Wavelength Formula

### Velocity Formula

## On this page:

## How to Calculate Frequency

Frequency is one of the fundamental concepts in the study of waves, whether they be sound waves, light waves, or any other type. Frequency, denoted as *𝑓*, refers to the number of cycles of a wave that pass a fixed point in one second.

It is measured in Hertz (Hz), where one Hertz is equivalent to one cycle per second.

The frequency of a wave is crucial because it determines many of the wave’s characteristics.

For instance, in sound waves, frequency affects the pitch of the sound: higher frequencies correspond to higher pitches and vice versa. In light waves, frequency determines the color of the light.

### Relationship Between Frequency, Wavelength, and Velocity

Wave frequency is inherently linked to the wavelength (*λ*) and the wave velocity (*𝑣*). The wavelength is the distance between consecutive corresponding points of the same phase on a wave, such as from crest to crest or trough to trough. Wave velocity is the speed at which the wave propagates through a medium.

These three properties are interconnected through a simple, yet fundamental formula in wave physics:

### Frequency Formula

The formula that relates wave frequency, wavelength, and wave velocity is given by:

𝑓 = 𝑣 / λ

**Where:**

*𝑓* = wave frequency

*λ* = wavelength

*𝑣* = wave velocity

Thus, the frequency of a wave *𝑓* is equal to its velocity *𝑣* divided by its length *λ*. This relationship is pivotal because it allows us to calculate any one of the three variables if the other two are known.

**For example,** suppose a sound wave travels through air at a speed of 343 meters per second and has a wavelength of 0.85 meters. Let’s calculate the frequency of the sound wave.

𝑓 = 343 m⁄s / 0.85 m = 403.53 Hz

So, the frequency of the sound wave is about 403.53 Hertz, meaning that roughly 403.53 cycles of the sound wave pass a fixed point each second.