A disk of radius R and mass M is rotating about its axis with an angular velocity ω. What is its angular momentum?
Practice Questions
1 question
Q1
A disk of radius R and mass M is rotating about its axis with an angular velocity ω. What is its angular momentum?
(1/2)MR^2ω
MR^2ω
Mω
(1/4)MR^2ω
Angular momentum L = Iω, where I = (1/2)MR^2 for a disk.
Questions & Step-by-step Solutions
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Q
Q: A disk of radius R and mass M is rotating about its axis with an angular velocity ω. What is its angular momentum?
Solution: Angular momentum L = Iω, where I = (1/2)MR^2 for a disk.
Steps: 5
Step 1: Understand that angular momentum (L) is a measure of how much motion an object has while rotating.
Step 2: Know the formula for angular momentum, which is L = Iω, where I is the moment of inertia and ω is the angular velocity.
Step 3: Identify the moment of inertia (I) for a disk, which is given by the formula I = (1/2)MR^2, where M is the mass and R is the radius of the disk.
Step 4: Substitute the moment of inertia into the angular momentum formula: L = (1/2)MR^2 * ω.
Step 5: Simplify the expression to find the angular momentum: L = (1/2)M R^2 ω.
