L = I·ω
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The solid angular momentum calculator is an online tool that allows you to calculate the angular momentum of a rotating object. Angular momentum is a physical quantity that describes the amount of rotational motion of an object and is represented by the letter L. It is calculated as the product of the object's moment of inertia (I) and its angular velocity (ω).
The moment of inertia is a measure of an object's resistance to changes in its rotation and depends on the distribution of the object's mass relative to the axis of rotation. The angular velocity, on the other hand, is a measure of the rate of change of the object's angular position with respect to time. The formula L = I·ω is essential to understanding how angular momentum is generated and maintained in physical systems.
The solid angular momentum calculator is useful in various situations, such as studying rotational motions in mechanics, analyzing complex physical systems, and solving engineering problems. However, it is crucial to be mindful of the units used and ensure that the input values are consistent and accurate.
It's worth noting that angular momentum is a vector quantity, and its direction is perpendicular to the object's plane of rotation. Furthermore, angular momentum is conserved in isolated systems, meaning that its magnitude and direction remain constant over time, unless an external force acts on the system.
Frequently asked questions
What is angular momentum?
Angular momentum is a physical quantity that describes the amount of rotational motion of an object.
What are the units of angular momentum?
The units of angular momentum are kg·m²/s.
How to calculate angular momentum?
Angular momentum is calculated as the product of the moment of inertia (I) and angular velocity (ω): L = I·ω.
In what situations is angular momentum conserved?
Angular momentum is conserved in isolated systems where no external force acts.
What are the practical applications of angular momentum?
Angular momentum has applications in various fields, such as engineering, physics, and astronomy, especially in problems involving rotational motions.