# Ch 3: Understanding Rotational Motion

### About This Chapter

## Understanding Rotational Motion - Chapter Summary

This chapter is designed to help you better understand principles and equations associated with rotational motion. You will learn how to solve relevant motion problems, such as those involving torque, acceleration and rotational kinematics.

In addition, you will explore specific theorems and determine how they are used to solve rotational motion problems. Once you have finished your study of this chapter, you should be able to:

- Contrast rotational and translational motion
- Define rotational kinematics and use relevant equations to solve problems
- Solve problems involving torque, kinetic energy of rotation, rotational inertia, rotational work and power, and angular momentum
- Provide details about the Parallel-Axis and Perpendicular Axis theorems
- Understand rolling motion
- Compare angular and linear momentum
- Note the relationship between angular momentum and torque
- Discuss conservation of angular momentum
- List five kinematics variables in rotational motion

This complex material is explained in easy-to-follow terms by expert instructors in the field. You will be able to access lessons at all times, from any device, so study is made easy and convenient. Self-assessment quizzes in each lesson determine your level of understanding and which subjects, if any, you need to further review.

### 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. Rotational Motion & Constant Angular Acceleration

In this lesson, learn about the quantities used to characterize rotational motion and how to use the kinematic equations of constant acceleration motion.

### 4. 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.

### 5. 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.

### 6. 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.

### 7. The Parallel-Axis Theorem & the Moment of Inertia

After watching this lesson, you will be able to explain what the parallel axis theorem is and how it is used. You will also be able to use the theorem to solve problems. A short quiz will follow.

### 8. 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.

### 9. 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.

### 10. 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.

### 11. 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.

### 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. 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 MHT-CET: Practice & Study Guide course

- Circular Motion & Gravitation
- Understanding Oscillations
- Equilibrium & Elasticity
- Electric Force & Charge
- Current Electricity
- Using Electricity in Engineering
- Electromagnetic Induction & Magnetism
- Wave Motion
- Understanding Sound Waves
- Light Waves
- Kinetic Theory of Gasses & Radiation
- Atoms, Molecules & Nuclei in Physics
- Surface Tension & Energy
- Matter, Atomic Structure & Chemical Bonding
- D-Block Elements, Halogens, Noble Gases & Alcohols
- Basic Measurement in Chemistry
- Understanding Chemical Solutions
- Chemical Reactions & Kinetics
- Concepts of Organic Chemistry
- Stereochemistry
- Crystallization & Hydrogenation
- Applications of Chemistry in Everyday Life
- Variance, Probability & Distributions
- Geometry & 3D Shapes
- Overview of Basic Trigonometry
- Function Operations, Limits & Properties
- Exponents & Logarithms
- Linear Systems
- Vectors in Math
- Introduction to Matrices
- Calculation of Derivatives
- Applications of Derivatives in Calculus
- Integrals & Definite Integrals
- Differential Equations & Applications
- Logic & Algebra
- Plant Reproduction & Growth
- Plant Respiration & Photosynthesis
- DNA, Mendelian Genetics & Inheritance
- Introduction to Genetic Engineering
- Characteristics of Birds & Mammals
- Human Anatomy: Neurology and Endocrinology
- Human Anatomy: Cardiology, Nephrology and Immunology
- Reproduction & Contraception
- Human Disease & Diagnostic Technology
- Origins of Life
- Concepts in Pharmacology
- Concepts in Ecology
- MHT-CET Flashcards