A disc of mass M and radius R is rotating about its axis with an angular velocity ω. What is the angular momentum of the disc?
Practice Questions
1 question
Q1
A disc of mass M and radius R is rotating about its axis with an angular velocity ω. What is the angular momentum of the disc?
(1/2)MR^2ω
MR^2ω
MRω
(1/4)MR^2ω
Angular momentum L = Iω, where I = (1/2)MR^2 for a disc.
Questions & Step-by-step Solutions
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Q
Q: A disc of mass M and radius R is rotating about its axis with an angular velocity ω. What is the angular momentum of the disc?
Solution: Angular momentum L = Iω, where I = (1/2)MR^2 for a disc.
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: L = Iω, where L is angular momentum, I is the moment of inertia, and ω is the angular velocity.
Step 3: Identify the moment of inertia (I) for a disc. The formula for the moment of inertia of a disc is I = (1/2)MR^2, where M is the mass and R is the radius of the disc.
Step 4: Substitute the moment of inertia into the angular momentum formula: L = (1/2)MR^2 * ω.
Step 5: This gives you the final formula for the angular momentum of the disc: L = (1/2)MR^2ω.
