Enter the spring constant (N-m) and the mass (kg) into the Damping Ratio Calculator. The calculator will evaluate and display the Damping Ratio. 

Damping Ratio Formula

The following formula is used to calculate the Damping Ratio. 

DMP = 2* SQRT(k*m)
  • Where DMP is the Damping Ratio ( )
  • k is the spring constant (N-m) 
  • m is the mass (kg) 

To calculate the damping ratio, take the square root of the product of the spring constant and mass, then multiply the result by 2.

How to Calculate Damping Ratio?

The following example problems outline how to calculate Damping Ratio.

Example Problem #1:

  1. First, determine the spring constant (N-m).
    • The spring constant (N-m) is given as: 3.
  2. Next, determine the mass (kg).
    • The mass (kg) is provided as: 5.
  3. Finally, calculate the Damping Ratio using the equation above: 

DMP = 2* SQRT(k*m)

The values given above are inserted into the equation below and the solution is calculated:

DMP = 2* sqrt(3*5) = 7.749

Example Problem #2: 

For this problem, the variables required are provided below:

spring constant (N-m) = 6

mass (kg) = 7

Test your knowledge using the equation and check your answer with the calculator above.

DMP = 2* SQRT(k*m) = ?