A disc of mass M and radius R is rotating about its axis with an angular velocit

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?

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?

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.

Angular Momentum – Angular momentum is a measure of the rotational motion of an object, calculated as the product of its moment of inertia and angular velocity.
Moment of Inertia – The moment of inertia is a property of a body that quantifies its resistance to angular acceleration, depending on the mass distribution relative to the axis of rotation.