About This Chapter
Properties of Rotational Motion - Chapter Summary
Begin your review of rotational motion with lessons outlining the differences between linear and projectile motion as well as simple harmonic, circular, translational, and rotational motion. You'll also take a brief look at kinematics qualities before focusing on the dynamics of rotational inertia, torque, and rotational speed.
The second half of the chapter shows you how to determine an object's moment of inertia, calculate the kinetic energy of rotation, and plug variables into the translational and rotational equations for work. Wrap up your study of this topic with lessons explaining the difference between angular and linear momentum, and re-visit the applications of the law of conservation of angular momentum. You'll also review conditions for both translational and rotational equilibrium. Lessons in this chapter cover the following topics:
- Types of motion
- Big five kinematics equations
- Rotational kinematics
- Torque and rotational inertia
- Kinetic energy of rotation
- Work and power in rotational motion
- Angular and linear momentum
- Translational and rotational equilibrium
This chapter's lessons are self-paced and include video tags to help you quickly access the rotational motion concepts you need to review. There are also transcripts if you'd like to view this information while working on a rotational motion problem of your own, as well as self-checking lesson quizzes and a chapter test you can take as many times as you need.
1. Uniform Circular Motion: Definition & Mathematics
After watching this lesson, you will be able to explain what uniform circular motion is, in terms of both acceleration and forces. You will also be able to use equations for centripetal force and acceleration to solve problems. A short quiz will follow.
2. Motion: Linear, Simple Harmonic, Circular & Projectile
While you may be able to define 'motion' as it relates to science, do you know how simple harmonic, circular, linear and projectile motion differ from one another? Continue reading to find out more about these different types of motion, and then see if you can answer the questions on the follow-up quiz.
3. 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.
4. 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.
5. 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.
6. 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.
7. 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.
8. 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.
9. 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.
10. 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.
11. 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.
12. 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.
13. 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.
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Other chapters within the College Physics: Help & Review course
- Scientific Inquiry
- Formulating Scientific Questions
- Planning a Scientific Investigation
- Observation and Data Collection
- Data Analysis and Graphing
- Drawing and Explaining Conclusions
- Safety During Science Experiments
- Scientific Ethics
- Motion and Newton's Laws
- Kinematic Equations in Physics
- Linear Momentum Principles
- Work, Energy and Power
- Heat and Thermodynamics
- Characteristics of Waves
- Electrical & Magnetic Forces
- Electric Potential & Capacitance
- Physics Circuits
- Magnetic Forces and Fields
- Quantum Mechanics and the Standard Model
- Science Literacy
- Diversity in Science
- Historical Perspectives in Physics
- Science, Technology and Beliefs