Frequency Calculator

Frequency Calculator

Frequency calculator is a tool that helps to find the frequency of the sound/light wave using the wavelength of the wave and the speed of light in a vacuum. It determines the value of frequency for different units of wavelength such as millimeter, meter, micro-meter, and Nano-meter.

What is the frequency?

Frequency is the relationship between the wavelength of the wave and the speed of the wave in a vacuum.  It represents the total number of cycles of the wave repeated per unit time i.e. if a wave repeats fifteen times in a second then its frequency is equal to the 15 cycles in the seconds.

Formula and unit of frequency

The unit of frequency is Hertz is represented by “Hz” which is named after German physicist Heinrich Hertz, who first gave the hypothesis of the existence of electromagnetic waves. The mathematical formula of the frequency in the form of wavelength can be stated as,

f = C/λ

Where,

• C = speed of light in a vacuum = 299,792,458 m/s ≈ 3 × 10⁸ m/s
• λ = wavelength of the wave

How to calculate the frequency of a wave?

Our frequency calculator is a friendly tool and easy to use that helps to find the value of the frequency in the blink of an eye by just clicking on the calculate button. Moreover, we solved some examples of manual calculations.

Example 1

If the wavelength of the wave is "65" meters then determine the frequency of the wave.

Solution

Step 1: Write the value of the wavelength from the given data.

λ = 65 m,           f =?

Step 2: Put the values in the frequency formula and get the required results.

Taken, C = 299,792,458

f = C/λ

= (299,792,458)/65

= 4612191.66 Hz

= 4.61219166 × 10⁶ Hz

f = 4.61219166 MHz

Example 2

The wavelength of the sound wave is "75.5" meters then determine the frequency of the wave.

Solution

Step 1: Write the value of the wavelength from the given data.

λ = 75.5 m,       f =?

Step 2: Put the values in the frequency formula and get the required results.

Taken, C = 299,792,458

f = C/λ

= (299,792,458)/75.5

= 3970761.03 Hz

= 3.97076103 × 10⁶ Hz

f = 3.97076103 MHz