# Learn How to Calculate Root Mean Square Velocity - Tutorial

## How to Calculate RMS Velocity - Definition, Formula and Example

##### Definition:

Root mean square is the process of estimating the magnitude whose quantity always differs. Root mean square velocity is like a wave, which passes around subsurface layers of various interval velocity along a specific raypath. Normally, it is greater than the average velocity by distinct percent and acts as the square root of the average of the square of the velocity. This concept is utilized in the field of Physics.

##### Formula:

μ_{rms} = (3RT/M)^{½}
##### Example:

What is the root mean square velocity of a molecule in a Carbon Monoxide at 27 °C?

###### Step 1:

Here, R = Ideal gas constant = 8.3145 (kg m^{2}/sec^{2})/K mol

###### Step 2:

T = Absolute temperature in Kelvin . T = 27 °C + 274.15 (1 °C = 1 + 274.15 K)

###### Step 3:

M = Molecular weight of the gas in kilograms. M = 28.011 / 1000 (Weight of Carbon Monoxide = 28.011 g/mol)

###### Step 4:

Therefore, μ_{rms} = ((3*8.3145*301.15)/(28.011/1000))^{½}

###### Step 5:

μ_{rms} = (7511.74 / 0.028)^{½}

###### Step 6:

μ_{rms} = (268276.43)^{½}

###### Step 7:

μ_{rms} = 517.94 m/sec.

Learn how to Calculate Root Mean Square Velocity with this tutorial, given with the definition, formula and example.