Natural Frequency Calculator

Calculate Natural Frequency



Formula

The formula to calculate the natural frequency of a spring is:

\[ f = \frac{\sqrt{\frac{k}{m}}}{2\pi} \]

Where:

What is Natural Frequency?

A natural frequency is a frequency that a system will naturally oscillate at. It is determined by the physical properties of the system, such as the spring constant and mass in the case of a spring-mass system.

Example Calculation 1

Let's assume the following values:

Using the formula:

\[ f = \frac{\sqrt{\frac{200}{5}}}{2\pi} = 1.0066 \text{ Hz} \]

The Natural Frequency is 1.0066 Hz.

Example Calculation 2

Let's assume the following values:

Using the formula:

\[ f = \frac{\sqrt{\frac{300}{10}}}{2\pi} = 0.8704 \text{ Hz} \]

The Natural Frequency is 0.8704 Hz.