1. What is Angular Momentum?

Angular momentum is a physical quantity that represents the rotational analog of linear momentum. It describes the quantity of rotation of a body and is conserved in a closed system in the absence of external torques.

2. How Does the Calculator Work?

The calculator uses the angular momentum formula:

Where:

• \( L \) — Angular momentum (kg·m²/s)
• \( I \) — Moment of inertia (kg·m²)
• \( \omega \) — Angular velocity (rad/s)

Explanation: Angular momentum is the product of an object's moment of inertia and its angular velocity about a particular axis.

3. Importance of Angular Momentum Calculation

Details: Angular momentum is crucial in understanding rotational dynamics, conservation laws, and is fundamental in fields ranging from classical mechanics to quantum physics and astronomy.

4. Using the Calculator

Tips: Enter moment of inertia in kg·m² and angular velocity in rad/s. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the SI unit of angular momentum?
A: The SI unit of angular momentum is kilogram meter squared per second (kg·m²/s).

Q2: How is angular momentum conserved?
A: In a closed system with no external torques, the total angular momentum remains constant according to the law of conservation of angular momentum.

Q3: What's the difference between linear and angular momentum?
A: Linear momentum describes motion in a straight line (mass × velocity), while angular momentum describes rotational motion (moment of inertia × angular velocity).

Q4: Can angular momentum be negative?
A: Yes, angular momentum can be negative, which indicates rotation in the opposite direction relative to a chosen coordinate system.

Q5: How is angular momentum related to torque?
A: Torque is the rate of change of angular momentum, similar to how force is the rate of change of linear momentum (τ = dL/dt).