8.5 Angular Momentum and Rotational Kinetic Energy | General Physics

Chad provides a comprehensive lesson on Angular Momentum and Rotational Kinetic Energy. This also includes the work performed by torque and the Work-Energy Theorem involving rotational kinetic energy. Chad begins with a summary of rotational / angular properties and their corresponding translational equivalents including angular displacement, angular velocity, angular acceleration, moment of inertia, torque, Newton's Rotational 2nd Law of Motion, angular momentum, rotational kinetic energy, and work performed by torque (rotational work).

Next, Chad introduces angular momentum and the conservation of angular momentum when no net torque is acting on an object. He then introduces rotational kinetic energy and shows how it is incorporated into the conservation of mechanical energy when there is no work done by nonconservative forces. Then he introduces rotational work which is equal to torque times angular displacement.

Next, Chad solves a conservation of angular momentum practice problem. Then he revisits a problem involving a block sliding down a frictionless inclined plane and compares it to a solid sphere rolling down the same inclined plane showing that the sphere ends up with less translation kinetic energy at the bottom of the incline as part of its initial potential energy was converted into rotational kinetic energy. Finally, Chad solves a practice problem using the Rotational Work-Energy Theorem.

00:00 Lesson Introduction
00:43 Summary of Rotational and Translational Equivalents
01:17 Angular Momentum Formula
01:48 Rotational Kinetic Energy Formula
02:28 Conservation of Angular Momentum
03:10 Conservation of Mechanical Energy (with Rotational KE)
03:53 Rotational Work Formula
04:35 Conservation of Angular Momentum Practice Problem
08:20 Block Sliding vs Sphere Rolling Down an Inclined Plane
16:05 Rotational Work-Energy Theorem Practice Problem

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