Calculadora de Momento Angular
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
L = I·ω
About this calculator
The Angular Momentum Calculator determines the angular momentum (L) of a rotating body, calculated as the product of the moment of inertia (I) and the angular velocity (ω). Angular momentum is a vector quantity representing the amount of rotational motion of an object, conserved in isolated systems. This tool is useful for students and professionals in physics and engineering who need to analyze rotational systems such as wheels, gyroscopes, or planets.
The operation is simple: enter the moment of inertia (in kg·m²) and the angular velocity (in rad/s) in the provided fields. The calculator applies the formula L = I × ω and displays the result in kg·m²/s. The moment of inertia depends on the mass distribution of the body relative to the rotation axis, while angular velocity indicates the speed of rotation. Ensure consistent units to obtain the correct value.
Use this calculator in situations such as: determining the angular momentum of a spinning bicycle wheel, calculating conservation of angular momentum in a figure skater pulling in their arms, or analyzing the motion of satellites and planets. It is especially useful in rotational dynamics problems where angular momentum is key to predicting behaviors like precession or stability.
Important precautions: verify that the moment of inertia is correct for the specific rotation axis, the same body can have different I values for different axes. Also, angular velocity must be in radians per second; if in rpm, convert by multiplying by π/30. Remember that angular momentum is a vector, so the direction of the vector is perpendicular to the rotation plane (right-hand rule).
Frequently asked questions
What is angular momentum?
It is the physical quantity that measures the amount of rotational motion of a body. It depends on mass, its distribution relative to the axis, and the rotation speed.
Can I use rpm instead of rad/s?
Not directly. The calculator expects rad/s. Convert rpm to rad/s by multiplying by π/30 (approximately 0.10472).
How do I calculate the moment of inertia?
The moment of inertia depends on the body's shape and the rotation axis. For common shapes, use standard formulas (e.g., disk: I = ½MR²). Consult a moment of inertia table.
Is angular momentum always conserved?
Yes, in isolated systems (no external torque) total angular momentum is conserved. Example: a spinning figure skater pulling in arms spins faster.
What is the unit of the result?
The result is given in kg·m²/s (kilogram meter squared per second), the SI unit of angular momentum.