A rigid body is rotating about a fixed axis with an angular velocity ω. If its m

A rigid body is rotating about a fixed axis with an angular velocity ω. If its moment of inertia is I, what is its angular momentum?

A rigid body is rotating about a fixed axis with an angular velocity ω. If its moment of inertia is I, what is its angular momentum?

Correct Answer: L = Iω

Step 1: Understand that a rigid body is an object that does not deform when forces are applied to it.
Step 2: Recognize that when a rigid body rotates, it does so around a fixed axis.
Step 3: Identify the angular velocity (ω), which is the rate at which the object is rotating.
Step 4: Know that the moment of inertia (I) is a measure of how mass is distributed in the object relative to the axis of rotation.
Step 5: Learn the formula for angular momentum (L), which is given by L = Iω.
Step 6: Substitute the values of moment of inertia (I) and angular velocity (ω) into the formula to find the angular momentum.

Angular Momentum – Angular momentum is a measure of the rotational motion of a rigid body, calculated as the product of its moment of inertia and angular velocity.
Moment of Inertia – Moment of inertia is a scalar value that represents how mass is distributed relative to the axis of rotation, affecting the body's resistance to changes in its rotational motion.
Angular Velocity – Angular velocity is the rate of change of angular displacement and indicates how fast an object is rotating about an axis.