What is the product of mass and angular velocity for an object undergoing circular motion called?

What is the product of mass and angular velocity for an object undergoing circular motion called?

• A. Angular acceleration
• B. Angular impulse
• C. Angular momentum
• D. Circular momentum

Answer: (C)

The product of mass and angular velocity for an object undergoing circular motion is defined as angular momentum. Angular momentum is a vector quantity that describes the rotational motion of an object about a specific axis. It is calculated by multiplying the mass of the object by its velocity at any point in circular motion and also by the radius at which it is moving from the point of rotation. Mathematically, angular momentum (L) can be expressed as: L = m * r * ω where m is the mass, r is the radius (distance from the axis of rotation), and ω (omega) represents the angular velocity. This relationship reflects how both the mass of the object and how fast it is rotating influence its momentum in circular motion. By understanding this concept, one can appreciate how angular momentum is conserved in isolated systems, which is a fundamental principle in mechanics. This conservation implies that unless an external torque acts on the system, the total angular momentum remains constant.

The product of mass and angular velocity for an object undergoing circular motion is defined as angular momentum. Angular momentum is a vector quantity that describes the rotational motion of an object about a specific axis. It is calculated by multiplying the mass of the object by its velocity at any point in circular motion and also by the radius at which it is moving from the point of rotation.

Mathematically, angular momentum (L) can be expressed as:

L = m * r * ω

where m is the mass, r is the radius (distance from the axis of rotation), and ω (omega) represents the angular velocity. This relationship reflects how both the mass of the object and how fast it is rotating influence its momentum in circular motion.

By understanding this concept, one can appreciate how angular momentum is conserved in isolated systems, which is a fundamental principle in mechanics. This conservation implies that unless an external torque acts on the system, the total angular momentum remains constant.