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Angular Momentum Formula:
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Angular momentum is a physical quantity that represents the rotational analog of linear momentum. It describes the rotational inertia and rotational velocity of an object around a particular axis. In classical mechanics, angular momentum is conserved in the absence of external torques.
The calculator uses the angular momentum formula:
Where:
Explanation: The angular momentum of a rotating object is directly proportional to both its moment of inertia and its angular velocity.
Details: Angular momentum calculations are crucial in various fields including physics, engineering, astronomy, and mechanical design. They help in understanding rotational dynamics, designing rotating machinery, analyzing celestial motions, and solving problems involving conservation of angular momentum.
Tips: Enter moment of inertia in kg·m² and angular velocity in rad/s. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is moment of inertia?
A: Moment of inertia is a measure of an object's resistance to changes in its rotation rate. It depends on the mass distribution relative to the axis of rotation.
Q2: How is angular velocity measured?
A: Angular velocity is typically measured in radians per second (rad/s) and represents the rate of change of angular displacement.
Q3: What are typical units for angular momentum?
A: The SI unit for angular momentum is kilogram meter squared per second (kg·m²/s).
Q4: Is angular momentum conserved?
A: Yes, in a closed system with no external torques, the total angular momentum remains constant (conservation of angular momentum).
Q5: How does this relate to linear momentum?
A: Angular momentum is the rotational equivalent of linear momentum, with similar conservation principles but applied to rotational motion.