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

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?

  1. First, determine the spring constant.

    Determine the spring constant by applying a force and measuring the displacement.

  2. Next, determine the mass of the spring.

    Using an accurate scale, measure the mass of the spring.

  3. Finally, calculate the natural frequency.

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


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.