Enter the peak/maximum velocity into the calculator to determine the root mean square of the velocity.

Root Mean Square Velocity Formula

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

VelocityRMS = Vp * .7071
  • Where velocity rms is the root mean square velocity (m/s)
  • Vp is the peak velocity (m/s)

To calculate the root mean square velocity, multiply the peak velocity by .7071.

What is Root Mean Square Velocity?


A root mean square velocity describes the average velocity of the sine wave of a velocity.

How to Calculate Root Mean Square Velocity?

Example Problem:

The following example outlines the steps and information needed to calculate Root Mean Square Velocity.

First, determine the peak velocity. In this example, the peak velocity is found to be 600 m/s.

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

VelocityRMS = Vp * .7071

VelocityRMS = 600 * .7071

VelocityRMS = 424.26 m/s