Mass Moment of Inertia Calculator

Formula

The formula to calculate the Mass Moment of Inertia (I) is:

\[ I = m \cdot r^2 \]

Where:

I is the moment of inertia (kg·m²)
m is the mass (kg)
r is the distance from the point of rotation to the point mass (m)

What is Mass Moment of Inertia?

Mass moment of inertia is a measure of the resistance to rotational movement of a point mass about a point of rotation. It is calculated using the mass of the object and the distance from the point of rotation to the mass.

Example Calculation

Let's assume the following:

Mass (m): 5 kg
Distance (r): 2 m

Step 1: Calculate the moment of inertia:

\[ I = m \cdot r^2 = 5 \cdot 2^2 = 5 \cdot 4 = 20 \text{ kg·m²} \]

Therefore, the mass moment of inertia (I) is 20 kg·m².