Enter the peak acceleration into the calculator to determine the Root Mean Square Acceleration. 

Root Mean Square Acceleration Formula

The following equation is used to calculate the Root Mean Square Acceleration.

RMSA = PA * .7071

  • Where RMSA is the Root Mean Square Acceleration (m/s^2)
  • PA is the peak acceleration (m/s^2)

What are the units for Root Mean Square Acceleration?

The most common units for Root Mean Square Acceleration are m/s^2.

How to Calculate Root Mean Square Acceleration?

Example Problem:

The following example problem outlines the steps and information required to calculate the Root Mean Square Acceleration.

First, determine the peak acceleration. In this example, the peak acceleration is measured to be 100 (m/s^2).

Finally, calculate the Root Mean Square Acceleration using the formula above: 

RMSA = PA * .7071

Inserting the values from above and solving the equation gives us: 

RMSA = 100 * .7071 = 70.71 (m/s^2)