### Angular Momentum: The Rotational Equivalent of Linear Momentum

Momentum is the product of an object’s mass and its velocity, representing the quantity of motion. Similarly, angular momentum serves as the rotational counterpart, specifically dealing with spinning or rotating objects.

#### What is Angular Momentum?

Angular momentum is defined as the property of any rotating object, determined by multiplying the moment of inertia by the angular velocity. It is mathematically expressed as:

$Angular Momentum=Moment of Inertia×Angular Velocity$

Angular momentum is a vector quantity, considering both magnitude and direction. When an object is in rotation, its angular momentum reflects its resistance to changes in rotational motion.

#### Angular Momentum vs. Linear Momentum

While linear momentum pertains to the motion of an object in a straight line, angular momentum specifically addresses the rotation or spinning of an object. In essence, angular momentum is the rotational equivalent of linear momentum, providing a measure of an object’s resistance to changes in its rotational state.

#### Practical Example

Consider a bicycle wheel. When stationary, it lacks angular momentum. However, when the wheel starts spinning, it gains angular momentum. This angular momentum contributes to the wheel’s stability and resistance to changes in its rotation. In this way, angular momentum plays a crucial role in understanding the behavior of rotating objects.

In summary, angular momentum is a fundamental concept in rotational motion, analogous to linear momentum in linear motion. It offers insights into the behavior of spinning objects, reflecting their resistance to changes in rotational state.