Mechanics
Angular Momentum
Rotational analog of linear momentum.
Variables
Lkg·m²/s
Angular momentum
Rotational momentum
Ikg·m²
Moment of inertia
Rotational inertia
Allowed values: 0 or more
ωrad/s
Angular velocity
Rate of rotation
Derivation
L = Iω (compare p = mv).
Your notes
0/5000
Check value
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- I = 2 kg·m² (Moment of inertia)
- ω = 3 rad/s (Angular velocity)
Result: L = 6 kg·m²/s
Other mechanics formulas with the same quantities
- Rotational Kinetic Energy (Rotational Motion) shares Moment of inertia, Angular velocity
- Rolling Kinetic Energy (Rotational Motion) shares Moment of inertia, Angular velocity
- Angular Velocity (Rotational Motion) shares Angular velocity
- Linear-Angular Velocity Relation (Rotational Motion) shares Angular velocity
- Centripetal Acceleration (Rotational Motion) shares Angular velocity
- Moment of Inertia (Point Mass) (Rotational Motion) shares Moment of inertia
Where this formula is listed
- Mechanics formulas, under Rotational Motion, alongside Angular Acceleration, Centripetal Force, Newton's Second Law (Rotation), Rotational Kinematic 1 and Rotational Kinematic 2.
- In the mechanics list it comes after Rotational Kinetic Energy and before Rotational Kinematic 1.
- Mechanics formula sheet, one of 58 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Angular Momentum formula?
Angular Momentum is written L = Iω. Rotational analog of linear momentum. It belongs to Mechanics, under Rotational Motion.
What are the units in L = Iω?
In SI units, L is angular momentum, measured in kg·m²/s; I is moment of inertia, measured in kg·m²; ω is angular velocity, measured in rad/s.
How is the Angular Momentum formula derived?
L = Iω (compare p = mv). The result is L = Iω.