Enter the spring rate (N/m) and the displacement (m) into the calculator to determine the Spring Work. 

Spring Work Formula

The following formula is used to calculate the Spring Work. 

Ws = k * x^2

  • Where Ws is the Spring Work (Joules (N-m/s))
  • k is the spring rate (N/m) 
  • x is the displacement (m) 

How to Calculate Spring Work?

The following two example problems outline how to calculate the Spring Work.

Example Problem #1:

  1. First, determine the spring rate (N/m). In this example, the spring rate (N/m) is given as 4.
  2. Next, determine the displacement (m). For this problem, the displacement (m) is given as 12.
  3. Finally, calculate the Spring Work using the equation above: 

Ws = k * x^2

Inserting the values from above and solving the equation with the imputed values gives: 

Ws = 4 * 12^2 = 576 (Joules (N-m/s))


Example Problem #2: 

Using the same process as above, first define the variables required by the formula. In this case, these values are:

spring rate (N/m) = 5

displacement (m) = 60

Entering these values yields:

Ws = k * x^2 = 18,000 (Joules (N-m/s))