. What is the formula for angular momentum (L) of an object in rotational motion?*1 pointA . L = m * vB . L = I * ωC . L = F * rD . L = P * t

Break Down the Problem

1. Identify the question type: It's a multiple-choice question regarding the formula for angular momentum.
2. List the given options and determine which relates to the concept of angular momentum.

Relevant Concepts

1. Understand angular momentum (L): Angular momentum is defined for an object in rotational motion.
2. Recognize the formulas associated with motion:
   • $L = m \cdot v$ involves linear momentum, not angular momentum.
   • $L = I \cdot \omega$ relates to angular momentum, where $I$ is the moment of inertia and $\omega$ is the angular velocity.
   • $L = F \cdot r$ relates to torque rather than angular momentum.
   • $L = P \cdot t$ relates to power and time, not angular momentum.

Analysis and Detail

1. The correct relationship for angular momentum incorporates the moment of inertia ($I$) and angular velocity ($\omega$). Thus, analyzing the options leads to:

   • Option B $L = I \cdot \omega$ is relevant to angular momentum.

Verify and Summarize

1. Verify that $I$ (moment of inertia) and $\omega$ (angular velocity) are fundamental components in determining the angular momentum of a rotating object.
2. Summarize that while other equations describe different physical relationships, only $L = I \cdot \omega$ accurately describes angular momentum.

Final Answer

The correct formula for angular momentum (L) of an object in rotational motion is:
$L = I \cdot \omega \quad \text{(option B)}$