What is the definition of angular momentum?

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Angular momentum refers to the rotational equivalent of linear momentum and is a fundamental concept in physics, particularly in mechanics. The correct definition involves the relationship between an object's mass, its distance from the center of rotation (the radius), and its velocity. Specifically, angular momentum is defined as the product of the mass of the object, the distance from the center of mass (often called the radius), and the velocity of the object as it travels in a circular path.

This relationship highlights how an object's mass and speed, combined with how far it is from the point of rotation, determine its rotational motion. When an object moves in a circular path, the speed and the radius play crucial roles in how much angular momentum the object possesses. Thus, option B accurately captures this essential relationship, making it the correct answer.

Other definitions mentioned in the choices do not accurately reflect the physical principles governing angular momentum. For example, merely summing mass and distance does not convey the necessary components of angular momentum, nor do speed and acceleration alone provide a complete description. Additionally, total distance traveled over time pertains more to linear motion than rotational dynamics, further distinguishing it from the concept of angular momentum.

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