Rotational Inertia Calculator

Formula

To calculate the Rotational Inertia (I):

\[ I = \frac{L}{w} \]

Where:

\( I \) is the rotational inertia (kg*m^2)
\( L \) is the angular momentum (kg*m^2*s^{-1})
\( w \) is the angular velocity (rad/s)

What is Rotational Inertia?

Rotational inertia, also known as moment of inertia, is a fundamental property of rotating objects that determines their resistance to changes in rotational motion. It quantifies how mass is distributed around an axis of rotation and influences how quickly or slowly an object can rotate.

Example Calculation

Let's assume the following values:

Angular Momentum \( L \) = 50 kg*m^2*s^{-1}
Angular Velocity \( w \) = 10 rad/s

Step 1: Use the rotational inertia calculation formula:

\[ I = \frac{50}{10} = 5 \text{ kg*m}^2 \]

The Rotational Inertia is 5 kg*m^2.