Enter the moment of inertia about the axis and the total mass into the calculator to determine the radius of gyration.

- Hydraulic Radius Calculator (+ Wetted Perimeter)
- Orbital Period Calculator
- Mass Moment of Inertia Calculator (Point Mass)

## Radius of Gyration Formula

The following equation can be used to calculate the radius of gyration.

kx = Sqrt ( Ix / m )

- Where k
_{x}is the radius of gyration - Ix is the moment of inertia of the point mass
- m is the total mass

To calculate the radius of gyration, take the square root of the result of the momentum of inertia divided by the total mass.

## Radius of Gyration Definition

A radius of gyration is the distance to a point that would have a moment of inertia as a distributed mass.

## Radius of Gyration Example

How to calculate radius of gyration?

**First, determine the moment of inertia.**Calculate the moment of inertia of the point mass. If you are unsure of how to calculate this value, you can visit the calculator linked above.

**Next, determine the total mass.**Calculate or measure the total mass of the point.

**Finally, calculate the radius of gyration.**Using the formula presented above, calculate the radius of gyration.

## FAQ

**What is a radius of gyration?**

A radius of gyration is the distance to a point that would have the same moment of inertia as a body distributed mass if all of the mass was located at the one point.