Science
Rotational kinetic energy
Calculate rotational kinetic energy from moment of inertia and the square of angular velocity; rotation direction does not change the energy.
Calculators / Science / Angular momentum
Angular momentum calculator
Multiply moment of inertia about a fixed axis by angular velocity to find signed angular momentum; reversing rotation reverses its sign.
On this page
Angular momentum6KG·m²/s
Calculator controls
How to calculate
Multiply moment of inertia about a fixed axis by angular velocity to find signed angular momentum; reversing rotation reverses its sign.
Angular momentum = I*w kg·m²/s
Worked example
Moment of inertia (kg·m²): 2; Angular velocity (rad/s): 3.
Angular momentum: 6 kg·m²/s.
Assumptions and limits
Multiply moment of inertia about a fixed axis by angular velocity to find signed angular momentum; reversing rotation reverses its sign. Assumes rotation about one fixed axis. Use the moment of inertia about that axis. Signed angular velocity sets the momentum direction.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Multiply moment of inertia about a fixed axis by angular velocity to find signed angular momentum; reversing rotation reverses its sign.
When this tool is useful
Angular momentum = I*w kg·m²/s
Understanding your inputs
| Input | What to enter |
|---|---|
| Moment of inertia (kg·m²) | Enter a number of at least 0 and no more than 1000000000000. |
| Angular velocity (rad/s) | Enter a number of at least -1000000000000 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Multiply moment of inertia about a fixed axis by angular velocity to find signed angular momentum; reversing rotation reverses its sign. Assumes rotation about one fixed axis. Use the moment of inertia about that axis. Signed angular velocity sets the momentum direction.
How is the result calculated?
Angular momentum = I*w kg·m²/s