# Ch 9: AP Physics 1: Rotational Motion

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### About This Chapter

## AP Physics 1: Rotational Motion - Chapter Summary and Learning Objectives

Understanding rotational motion is important in calculating work, power and energy of moving objects. These lessons cover related concepts like rotational dynamics, rotational inertia, momentum and equilibrium. You'll see how to apply the principles and equations you learn to physics problems, both theoretically and in the real world. You'll also discover how to describe kinematics and how kinematics relates to physics' big five equations. In these lessons, you'll learn about:

- Types of motion
- Types of momentum
- Types of equilibrium
- The five kinematics qualities
- How kinetic and potential energy change for an object in motion

Video | Objective |
---|---|

Differences Between Translational and Rotational Motion | Describe how rotational motion differs from translational motion. |

Rotational Kinematics: Definition and Equations | Define rotational kinematics; explain how to generate kinetic equations for rotational motion. |

Five Kinematics Qualities and the Big Five Equations | Describe the five kinematics qualities in relationship to the big five equations. |

Rotational Dynamics and Torque | Define rotational dynamics and torque. |

Rotational Inertia and Change of Speed | Explain how rotational inertia affects the rotational speed of an object. |

Kinetic Energy of Rotation | Discuss how kinetic and potential energy change for a rotating disk and falling mass. |

Rolling Motion and the Moment of Inertia | Discuss how to observe the moment of inertia for two round objects rolling down an incline, and compare it to the theoretical value for that object; use the conservation of energy principles and concepts of rotational motion in the explanation. |

Work and Power in Rotational Motion | Discuss how to use translation motion formulas to determine the kinetic energy, work and power of an object in rotational motion. |

Angular Momentum vs. Linear Momentum | Explain the differences between angular and linear momentum. |

Conservation of Angular Momentum | Demonstrate how to use the law of conservation of angular momentum to solve word problems. |

Equilibrium: Translational and Rotational | Describe translational equilibrium and calculate forces that act upon objects in this state; describe rotational equilibrium, and calculate forces that act upon objects in this state. |

### 1. Differences Between Translational & Rotational Motion

After watching this lesson, you'll be able to explain the difference between translational and rotational motion, explain how translational quantities are replaced by rotational ones in physics and apply Newton's First Law to rotation. A short quiz follows.

### 2. Rotational Kinematics: Definition & Equations

After watching this lesson, you should be able to explain what kinematics is, give a rotational variable that corresponds to each linear kinematic variable, and solve problems using rotational kinematics equations. A short quiz will follow.

### 3. Torque: Concept, Equation & Example

After watching this lesson, you will be able to explain what torque is conceptually and mathematically and use both the equation and Newton's First Law for rotation to solve problems involving torque. A short quiz will follow.

### 4. Rotational Inertia & Change of Speed

After watching this lesson, you will be able to explain what rotational inertia is, describe how it makes it harder to change the speed of rotation, and solve rotational inertia problems. A short quiz will follow.

### 5. Kinetic Energy of Rotation

After watching this lesson, you will be able to explain what kinetic energy of rotation is, provide the equation to calculate it, and solve simple kinetic energy of rotation problems. A short quiz will follow.

### 6. Rolling Motion & the Moment of Inertia

After watching this lesson, you should be able to figure out the moment of inertia of an object as it rolls down a ramp and compare it to a theoretical value. A short quiz will follow.

### 7. Work & Power in Rotational Motion

After watching this lesson, you will be able to explain what work and power are in the context of rotational motion and use equations to solve problems involving rotational work and power. A short quiz will follow.

### 8. Angular Momentum vs. Linear Momentum

After watching this lesson, you will be able to explain the difference between angular and linear momentum and solve problems using angular momentum equations. A short quiz will follow.

### 9. The Relationship Between Angular Momentum & Torque

In this lesson, we'll explore how torque and angular momentum affect objects in rotational motion. In doing this, we'll also discover the important relationship between torque and angular momentum.

### 10. Conservation of Angular Momentum

After watching this video you will be able to explain what is meant by conservation of angular momentum. You will also be able to use this concept along with the equation to solve problems. A short quiz will follow.

### 11. Equilibrium: Translational & Rotational

Learn about the requirements for an object to be under translational or rotational equilibrium. Then work through a couple example problems that show how we can use translational and rotational equilibrium to find the forces acting on an object.

### 12. Five Kinematics Quantities & the Big 5 Equations

After watching this lesson, you will be able to list the five kinematics variables in rotational motion and use the five equations of constant acceleration to solve problems involving rotational motion. A short quiz will follow.

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### Other Chapters

Other chapters within the AP Physics 1: Exam Prep course

- AP Physics 1: Systems
- AP Physics 1: Vectors
- AP Physics 1: Kinematics
- AP Physics 1: Newton's Laws
- AP Physics 1: Work, Energy, & Power
- AP Physics 1: Linear Momentum
- AP Physics 1: Motion
- AP Physics 1: Oscillations
- AP Physics 1: Electrical Forces and Fields
- AP Physics 1: Direct Current Circuits
- AP Physics 1: Mechanical Waves