A rigid body rotates about a fixed axis with an angular velocity ω. If the moment of inertia of the body is I, what is the angular momentum of the body?
Practice Questions
1 question
Q1
A rigid body rotates about a fixed axis with an angular velocity ω. If the moment of inertia of the body is I, what is the angular momentum of the body?
Iω
ω/I
I/ω
Iω^2
Angular momentum L = Iω, where I is the moment of inertia and ω is the angular velocity.
Questions & Step-by-step Solutions
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Q
Q: A rigid body rotates about a fixed axis with an angular velocity ω. If the moment of inertia of the body is I, what is the angular momentum of the body?
Solution: Angular momentum L = Iω, where I is the moment of inertia and ω is the angular velocity.
Steps: 6
Step 1: Understand that a rigid body is an object that does not deform when it rotates.
Step 2: Recognize that the body is rotating around a fixed axis, which means it spins around a specific line that does not move.
Step 3: Identify the angular velocity (ω), which tells us how fast the body is rotating.
Step 4: Know that the moment of inertia (I) is a measure of how mass is distributed in the body and how difficult it is to change its rotation.
Step 5: Learn the formula for angular momentum (L), which is given by L = Iω.
Step 6: Substitute the values of I (moment of inertia) and ω (angular velocity) into the formula to find the angular momentum.
