THE APPLICATION OF ARC LENGTH TO PHYSICS

Section: Articles Published Date: 2025-04-12 Pages: 22-29 Issue: 2025: ADVANCING SOCIAL JUSTICE: STRATEGIES FOR EQUITY AND INCLUSION

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Abstract

Arc length, a fundamental concept in calculus, plays a crucial role in a variety of physical applications. In physics, it is often used to describe the trajectory of particles, the motion of celestial bodies, and even the curvature of space-time in general relativity. This article explores the theoretical foundations of arc length, its mathematical formulation, and its diverse applications in physics. Special attention is given to its role in mechanics, electromagnetism, and relativistic theories, providing a comprehensive overview of how arc length contributes to the understanding of physical phenomena. Mathematical tools like the line integral, differential geometry, and curvilinear coordinates are used to elucidate its practical applications.

Keywords

Arc length, mechanics, electromagnetism