# Wave Velocity Calculator

The wave velocity calculator helps you determine **how fast a wave propagates through the medium**. The velocity of a wave is a function of its wavelength and frequency. When you hit a metal rod with a hammer, the sound wave originates and propagates through the rod from one face to another. This sound wave is a longitudinal wave that depends on Young's modulus and the density of the material (refer, density calculator). Read on to understand how to calculate the velocity of a wave using its wavelength.

## What is wave velocity?

The **wave velocity**, which we denote as $v$, is a measure of how fast a wave travels across the medium. And longitudinal waves travel much faster as they have a longer wavelength. Wave velocity is a function of wavelength, $\lambda$, and frequency, $f$. The **wave velocity formula** we use to quantify it is:

## Using the wave velocity calculator

Let's calculate the velocity of a wave having a frequency of `15 Hz`

and a wavelength of `0.5 m`

.

- Enter the wave frequency, $f$.
- Fill in the wavelength, $\lambda$.
- The calculator will return the wavenumber (the reciprocal of wavelength) as $2$ and wave velocity, $v$ as $7.5 \text{ m/s}$.

## Similar calculators

If you like this calculator, you can find more information on wavelength in our related calculators:

### How do I calculate wave velocity?

To calculate wave velocity:

- Note down the wave's
**frequency**and**wavelength**. - Make sure the wave's frequency is in
**Hertz**, and the wavelength is in**meters**. - Find the
**product**of the frequency and wavelength to obtain the wave velocity in**meters per second**.

### What is the wave velocity of light in vacuum?

The wave velocity of light in a vacuum is `299,792,458 m/s`

. That implies that a wave with a frequency of `10 Mhz`

would have a wavelength equivalent to `v / λ = 29.98 m`

.