A rigid body is rotating 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 is rotating 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 is rotating 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: 7
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 has a property called angular velocity (ω), which tells us how fast it is spinning.
Step 3: Learn 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 4: Know that angular momentum (L) is a quantity that represents the amount of rotation an object has.
Step 5: The formula to calculate angular momentum for a rigid body rotating about a fixed axis is L = Iω.
Step 6: In this formula, 'I' is the moment of inertia and 'ω' is the angular velocity.
Step 7: To find the angular momentum, simply multiply the moment of inertia (I) by the angular velocity (ω).
