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Learn how to calculate the rotational inertia and moment of inertia of different objects and how they relate to torque and angular acceleration. Find formulas, examples, and diagrams for various shapes and axes of rotation.
- Rotational Kinetic Energy
Example \(\PageIndex{1}\): Calculating the Work and Energy...
- Kinematics of Rotational Motion
This example illustrates that relationships among rotational...
- 7.4: Rotational Inertia
The SI units of rotational inertia are \( kg \cdot{m^2}\)....
- 5.3: Rotational Inertia
Use the parallel axis theorem and the result given by...
- Rotational Kinetic Energy
Learn about the rotational inertia of a rigid body, which is the ratio between the torque applied and the resulting angular acceleration about a rotational axis. Find out how it depends on the mass and its distribution, and how to calculate it for different shapes and reference frames.
2 sie 2023 · Moment of inertia is a physical quantity that resists a rigid body’s rotational motion. Learn how to calculate it for different objects and systems, and see its formulas and units in a table.
Learn how to calculate the rotational inertia of an object about a fixed axis, which is the rotational analog of mass. See the formulas for point masses, rings, rods, disks, spheres and other shapes.
Learn how to define and calculate rotational inertia, the quantity that determines the rotational kinetic energy of a rigid object. See examples of rotational inertia for different shapes and distributions of mass.
Learn how to calculate the moment of inertia for different shapes and axes using integrals, formulas, and examples. Find out how to apply the parallel axis theorem and the perpendicular axis theorem to rotational inertia.
Learn how moment of inertia, the rotational analog of mass, is defined and calculated for different objects and axes. See examples, common forms, and comparisons with linear momentum and angular momentum.
