Tangential & Normal Components of Acceleration | Calculus 3 Lesson 37 - JK Math

How to Find The Tangential & Normal Components of Acceleration (Calculus 3 Lesson 37)

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In this video you will learn about tangential and normal acceleration, and how to find their components for the acceleration vector. Tangential acceleration is acceleration that changes the magnitude of the velocity vector, while normal acceleration is acceleration that changes the direction of the velocity vector. We define each component of acceleration and explore different ways to calculate them. Finally, we look at an example of finding these components for a specific position vector using the formulas we find.

This video series is designed to help students understand the concepts of Calculus 3 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!

Calculus 3 requires a solid understanding of concepts from calculus 2, calculus 1, precalculus, and algebra. This includes limits, differentiation, advanced integration techniques, applications of derivatives and integrals, polar coordinates, parametric equations, trigonometric functions, logarithms, factoring, equation manipulation, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!
Video Chapters:
0:00 Constant Speed vs Variable Speed
5:18 What is Tangential & Normal Acceleration?
9:14 Defining Tangential & Normal Components
19:44 Finding More Formulas
36:57 Summary of Formulas
42:11 Example: Finding a_T and a_N
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Видео Tangential & Normal Components of Acceleration | Calculus 3 Lesson 37 - JK Math канала JK Math