Moment of Inertia Calculator – Quickly Determine Rotational Inertia

This moment of inertia calculator helps you quickly determine the rotational inertia of different shapes with ease.

Moment of Inertia Calculator

This calculator will help you to find the moment of inertia for a solid cylinder. You just need to input the mass and the radius of the cylinder.

How to use this calculator

To use this Moment of Inertia Calculator, follow these simple steps:

  1. Enter the mass of the cylinder in kilograms (kg) into the ‘Mass’ input field.
  2. Enter the radius of the cylinder in meters (m) into the ‘Radius’ input field.
  3. Click “Calculate” to get the result.
  4. The calculated moment of inertia will be displayed in the ‘Result’ field.

How it calculates the result

The formula to calculate the moment of inertia for a solid cylinder is I = 1/2 * m * r², where:

  • I is the moment of inertia,
  • m is the mass of the object,
  • r is the radius of the object.

Limitations

Please note that this calculator assumes a homogeneous and solid cylindrical object and does not take into account factors such as varying density, asymmetrical shapes, or other irregularities that could affect the result. If you’re calculating the moment of inertia for an object that doesn’t meet these criteria, you should use a more complex approach or consult an expert.

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