Inertia Calculator

Step-by-Step Guide to Using the Moment of Inertia Calculator

This guide will help you understand how to effectively use the Moment of Inertia Calculator to compute the moment of inertia for different shapes. The calculator offers options for rectangles, circles, cylinders, and spheres.

Step 1: Select the Shape

Start by choosing the shape for which you want to calculate the moment of inertia. You can select from one of the following options:

• Rectangle/Square
• Circle
• Cylinder
• Sphere

Selecting a shape is a required step before proceeding to the next input fields.

Step 2: Enter the Mass

Input the mass of the object in kilograms. Ensure that the mass is a positive value, with a minimum threshold of 0.001 kg.

Step 3: Enter the Dimensions

Depending on the shape selected, you will need to input the relevant dimensions:

• Rectangle/Square: Provide the length/height and the width in meters.
• Circle: Input the radius in meters.
• Cylinder: Input the radius and the length/height in meters.
• Sphere: Only the radius in meters is required.

Each dimension must be a positive value of at least 0.001 meters.

Step 4: View the Result

Once all necessary inputs are provided, check the calculated moments of inertia. The results will be displayed in three axes (X, Y, Z) where applicable:

• Moment of Inertia (X-axis): Based on the shape selected and input dimensions, this calculation may involve different formulas.
• Moment of Inertia (Y-axis): Similar to the X-axis, but uses the appropriate formula for the Y-axis moment of inertia.
• Moment of Inertia (Z-axis): Typically calculated for cylindrical shapes, but might also be relevant for other shapes depending on use case.

The results are formatted to four decimal places and include the unit “kg⋅m²”.

Follow these steps to ensure accurate and efficient calculations of the moment of inertia for your desired object shape.