Ch 34: Calculus Applications: Circular Motion

About This Chapter

Study this calculus chapter at any time to review the applications of circular motion. These short lessons and practice quizzes can be used for homework help, test preparation and tutoring purposes.

Calculus Applications: Circular Motion - Chapter Summary

This series of short online math lessons explores the calculus applications of circular motion. Follow along with our instructors to learn about angular velocity, rotational motion, conical pendulum equations and other related circular motion concepts. When you're finished with the chapter, you should be equipped to:

  • Define angular velocity
  • Understand constant angular acceleration and rotational motion
  • Compare the normal and tangential components of circular motion
  • Differentiate between instantaneous and uniform angular velocity of circular motion
  • Solve conical pendulum equations
  • Evaluate circular motion around a banked circular track

The lessons can be studied at any time of day or night, and you can ask our instructors questions whenever they arise. To help you practice solving circular motion problems on your own, we've included helpful self-assessment quizzes and a chapter exam. For your convenience, we've made the chapter accessible on any device that has an Internet connection.

6 Lessons in Chapter 34: Calculus Applications: Circular Motion
Test your knowledge with a 30-question chapter practice test
Angular Velocity: Definition, Formula & Examples

1. Angular Velocity: Definition, Formula & Examples

Angular velocity applies to objects that move along a circular path. We will explore the definition of angular velocity and learn three different formulas we can use to calculate this type of velocity.

Rotational Motion & Constant Angular Acceleration

2. 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.

Tangential & Normal Components of Circular Motion

3. Tangential & Normal Components of Circular Motion

Objects undergoing circular motion have two separate components: tangential and normal. In this lesson, we will derive the force equations that are tangential to the curved path and normal to the curved path.

Instantaneous & Uniform Angular Velocity of Circular Motion

4. Instantaneous & Uniform Angular Velocity of Circular Motion

Objects moving in a circular path have two velocities: one is an angular velocity, and the other is a tangential velocity. In this lesson, we will derive the equations for angular and tangential velocities.

The Conical Pendulum: Analysis & Equations

5. The Conical Pendulum: Analysis & Equations

A conical pendulum is a string with a mass attached at the end. The mass moves in a horizontal circle. In this lesson, we will analyze a conical pendulum and derive equations for its angle and height.

Circular Motion Around a Banked Circular Track

6. Circular Motion Around a Banked Circular Track

A mass moving in a circular path on a flat surface requires friction. If that surface is banked, the mass can move in a circular path without friction, but only if the conditions are optimal. In this lesson, we will derive the equations used in banked circular motion.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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