Angular Momentum of a Particle

📊 intermediate

$$L = mvr \sin \theta$$

A measure of the quantity of rotation of an object, taking into its mass and speed relative to an axis.

Variables & Units

$L$

Angular Momentum

Unit: $kg \cdot m^2/s$

$\theta$

Angle between $r$ and $v$ vectors

Unit: Degrees

Key Information

📐 Derived From

Cross product $\vec{r} \times \vec{p}$.

💡 Example

Angular momentum of a satellite orbiting Earth.

🔧 Applications

Gyroscopic stability and planetary orbits.

⚠️ Constraints

Defined relative to a specific axis.

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