The Relationship Between Directional Heading of an Automobile and Steering Wheel Deflection (UMAP)

A unit that applies calculus to engineering. The relationship between the directional heading of an automobile and the angular deflection of the steering wheel is derived in this module from basic geometrical and kinematics principles. The derivation is an example of the use of calculus in the mathematical modeling of dynamic systems.

Table of Contents:

1. INTRODUCTION

2. THE MATHEMATICAL MODEL
2.1 The Directional Heading and the Angular Deflection of the Steering Wheel
2.2 The Angular Deflection of the Front Wheels
2.3 Relating the Change in Heading to the Steering Wheel Deflection

3. APPLICATION OF THE MATHEMATICAL MODEL

4. MODEL EXAM

5. ANSWERS TO EXERCISES

6. ANSWERS TO MODEL EXAM