### Lecture 20: Rotational kinematics and energetics

**Objectives:**In this lecture, students will learn to

- extend kinematics to rotational quantities
- relate angular velocity and acceleration to linear velocity and acceleration
- interpret the meaning of the quantity moment of inertia
- calculate moments of inertia using the parallel axis theorem
- define rotational kinetic energy
- explain rolling without slipping in terms of rotation about center of mass plus translation of center of mass
- apply energy conservation to problems involving rotation

**Lecture Notes:**

- Powerpoint: lec20.pptx
- Pdf (recommended for printing): lec20.pdf

**Videos:**

Introduction | Video_1.mp4 | |

Angular kinematics quantities | Video_2.mp4 | with captions |

Relationship to linear quantities | Video_3.mp4 | with captions |

Rolling without slipping | Video_4.mp4 | with captions |

Rotational kinetic energy and moment of inertia | Video_5.mp4 | with captions |

Demo and example: Race of hoop and disk | Video_6.mp4 | with captions |

**Homework assignment:** HW #20