Rotational kinetic energy
Rotational kinetic energy: use moment of inertia, angular velocity. Review the formula, worked example and calculation steps.
Inputs
Use the units shown—
Enter your values and select Calculate.
Formula & explanation
E = ½Iω²
Variables & units
- Moment of inertia
- kg·m² · minimum 0, maximum 1000000000000
- Angular velocity
- rad/s · minimum -1000000000000, maximum 1000000000000
Worked example
Use the displayed example inputs, then follow the substituted values in the solution.
Assumptions
Rigid-body rotation about the axis used for the entered inertia.
References
Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.
Practice with an example
Use the default input values to find the answer. The reset icon restores those values.
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