# Fundamental Frequency Calculator

## About Fundamental Frequency Calculator (Formula)

A “Fundamental Frequency Calculator” is a tool used to determine the fundamental frequency of a vibrating object or sound wave. The fundamental frequency, also known as the first harmonic, is the lowest and most dominant frequency produced by a vibrating system. This calculator is essential in physics, music, and acoustics to analyze the fundamental tone of various vibrating objects and musical instruments. The formula for calculating the fundamental frequency provides insights into the primary frequency component of a vibrating system.

The formula for calculating Fundamental Frequency is:

Fundamental Frequency (f) = 1 / Period (T)

Where:

• Fundamental Frequency (f) is the lowest frequency produced by the vibrating object or wave.
• Period (T) is the time taken for one complete vibration or oscillation.

This formula calculates the fundamental frequency by taking the reciprocal of the period, which is the time it takes for the vibrating object to complete one full cycle of vibration. The fundamental frequency is often expressed in hertz (Hz).

For example, if a vibrating string completes one full oscillation in 0.02 seconds (T = 0.02 s), the fundamental frequency would be:

Fundamental Frequency (f) = 1 / 0.02 s = 50 Hz

This means that the vibrating string produces a fundamental frequency of 50 hertz.

The Fundamental Frequency Calculator is used in various fields to analyze and understand the primary tone produced by vibrating systems. In music, it helps musicians and instrument makers tune instruments to their desired pitches. In physics and acoustics, it aids in analyzing the harmonic content of sounds and vibrations.