Enter the spring constant and the mass of a spring into the calculator to determine the natural frequency.

- Fundamental Frequency Calculator
- Resonant Frequency Calculator
- Pendulum Calculator (Frequency & Period)
- Spring Constant Calculator (F=-kx)

## Natural Frequency Formula

The following formula is used to calculate the natural frequency of a spring.

f = sqrt ( k / m ) / 2*π

- Where f is the natural frequency (Hz)
- k is the spring constant (N/m)
- m is the mass of the spring (kg)

To calculate natural frequency, take the square root of the spring constant divided by the mass, then divide the result by 2 times pi.

## Natural Frequency Definition

A natural frequency is a frequency that a system will naturally oscillate at.

## Natural Frequency Example

How to calculate natural frequency?

**First, determine the spring constant.**Determine the spring constant by applying a force and measuring the displacement.

**Next, determine the mass of the spring.**Using an accurate scale, measure the mass of the spring.

**Finally, calculate the natural frequency.**Enter the spring constant and mass into the formula to calculate the natural frequency.

## FAQ

**What is a natural frequency?**

A natural frequency is a certain frequency at which a system will naturally oscillate.

**What is oscillation?**

Oscillation is the back and forth movement of a vibrating object.