Radius of Gyration Calculator

Calculate Radius of Gyration



Formula

The formula to calculate the radius of gyration is:

\[ k_x = \sqrt{\frac{I_x}{m}} \]

Where:

What is Radius of Gyration?

The radius of gyration is the distance to a point that would have a moment of inertia as a distributed mass. It is a useful concept in structural engineering and mechanics.

Example Calculation

Let's assume the following values:

Using the formula to calculate the radius of gyration:

\[ k_x = \sqrt{\frac{200}{50}} = 2 \text{ m} \]

The radius of gyration is 2 meters.