A rotating body has an angular momentum L. If its moment of inertia is I, what i

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Question: A rotating body has an angular momentum L. If its moment of inertia is I, what is the angular velocity ω of the body?

Options:

Correct Answer: L/I

Solution:

Angular momentum L is given by L = Iω, thus ω = L/I.

A rotating body has an angular momentum L. If its moment of inertia is I, what is the angular velocity ω of the body?

A rotating body has an angular momentum L. If its moment of inertia is I, what is the angular velocity ω of the body?

Step 1: Understand that angular momentum (L) is a measure of how much motion a rotating body has.
Step 2: Know that the formula for angular momentum is L = Iω, where I is the moment of inertia and ω is the angular velocity.
Step 3: To find the angular velocity (ω), you need to rearrange the formula. Start with L = Iω.
Step 4: Divide both sides of the equation by I to isolate ω. This gives you ω = L/I.
Step 5: Now you can calculate the angular velocity (ω) if you know the values of L and I.

Angular Momentum – Angular momentum (L) is the product of a body's moment of inertia (I) and its angular velocity (ω).
Moment of Inertia – Moment of inertia (I) is a measure of an object's resistance to changes in its rotation.
Angular Velocity – Angular velocity (ω) is the rate of rotation of an object, typically measured in radians per second.