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Rotational Kinetic Energy — result sheet
Calculate the rotational kinetic energy of an ideal rigid body from its moment of inertia and angular speed.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Rotational kinetic energy K = 0.5 I omega^2, where I is moment of inertia and omega is angular speed. This is a rigid-body textbook relation only.
This ideal rigid-body relation calculates the kinetic energy associated with rotation about a stated axis. It does not infer the body's inertia, account for losses, or provide machine, bearing, or structural design advice.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Moment of inertia — kg m^2; Finite nonnegative moment of inertia about the selected axis.; minimum 0; maximum 1000000000000
- Angular speed — rad/s; Finite nonnegative angular-speed magnitude in radians per second.; minimum 0; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Moment of inertia | 2 |
| Angular speed | 3 |
Rotational kinetic energy is 9 J.
Assumptions and limits
- Moment of inertia is a finite nonnegative value in kg m^2 about the axis being considered, and angular speed is a finite nonnegative magnitude in rad/s.
- The body is treated as a rigid body with one fixed moment of inertia for the entered state; radians are dimensionless in the energy unit path.
- The formula is a rigid-body textbook relation only. Deformation, friction, changing inertia, containment, and design or safety decisions are outside scope.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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