Frequency Calculator

Understanding Frequency Calculator

Frequency is the number of wave cycles per second. For electromagnetic waves, f = c/λ where c is the speed of light.

How to use this calculator

1. Enter the wave speed \(v\) in the chosen unit, such as \(\text{m/s}\).
2. Enter the wavelength \(\lambda\) in the matching length unit, such as \(\text{m}\).
3. Use the same unit system so the answer comes out correctly in \(\text{Hz}\).
4. Read the frequency result, then check that it makes sense, because higher speed or shorter wavelength gives a larger frequency.

The formula explained

The formula \(f = \frac{v}{\lambda}\) computes frequency by dividing wave speed by wavelength. It tells you how often the wave repeats each second.

• f = frequency, measured in \(\text{Hz}\)
• v = wave speed, for example \(\text{m/s}\)
• \(\lambda\) = wavelength, for example \(\text{m}\)

Step by step method

1. Write down the wave speed \(v\) and wavelength \(\lambda\).
2. Substitute them into \(f = \frac{v}{\lambda}\).
3. Divide the speed by the wavelength.
4. State the answer in \(\text{Hz}\).

Worked example

Problem. A sound wave travels at \(340\ \text{m/s}\) and has a wavelength of \(0.85\ \text{m}\). Find the frequency.

1. Use the formula \(f = \frac{v}{\lambda}\).
2. Substitute the values, \(f = \frac{340}{0.85}\).
3. Compute the result, \(f = 400\).

Tips and common mistakes

• Make sure the units match. If speed is in \(\text{m/s}\), wavelength should be in \(\text{m}\).
• A smaller wavelength gives a larger frequency, because the waves are packed more closely together.

Frequently asked questions