Enter the maximum displacement, spring constant, and mass into the calculator to determine the spring velocity.

Spring Velocity Formula

The following equation is used to calculate the Spring Velocity.

Vs = SQRT ( k*x^2 / m)
  • Where Vs is the spring velocity (m/s)
  • k is the spring constant (N/m)
  • x is the maximum displacement (m)
  • m is the mass (kg)

To calculate the spring velocity, multiply the spring constant by the displacement squared, divide by the mass, then finally, take the square root of the result.

What is a Spring Velocity?


A spring velocity describes the maximum velocity of a spring when the spring returns to its initial position after being compressed or stretched.

How to Calculate Spring Velocity?

Example Problem:

The following example outlines the steps and information needed to calculate

First, determine the spring constant (N/m). In this example, the spring constant (N/m) is found to be 5 N/m.

Next, determine the maximum displacement. For this problem, the maximum displacement is found to be 3m.

Next, determine the mass. In this case, the mass is measured to be 2kg.

Finally, calculate the Spring Velocity using the formula above:

Vs = SQRT ( k*x^2 / m)

Vs = SQRT ( 5*3^2 / 2)

Vs = 4.74 m/s