THE APPLICATION OF ARC LENGTH TO PHYSICS

Authors

  • Maxammadaliyeva Dilfuza Farxodjon qizi NamSU, Faculty of Physics and Mathematics, 1st-cource student of Physics, Uzbekistan
  • Hasanboyeva Sevinch Ibrohim qizi NamSU, Faculty of Physics and Mathematics, 1st-cource student of Physics, Uzbekistan
  • Dilnoza Xaytmirzayevna Maxmudova Supervisor, NamSU, Senior lecturer, Department of Mathematics, Uzbekistan

Keywords:

Arc length, mechanics, electromagnetism

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.

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References

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Jackson, J. D. (1999). Classical Electrodynamics (3rd ed.). John Wiley & Sons.

Spivak, M. (1979). A Comprehensive Introduction to Differential Geometry, Volume 1. Publish or Perish, Inc.

Weinberg, S. (1972). Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity. John Wiley & Sons.

Wheeler, J. A., & Taylor, E. F. (1992). Exploring Black Holes: Introduction to General Relativity. Addison-Wesley.

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Jost,J. (2011). Riemannian Geometry and Geometric Analysis. Springer-Verlag.

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Published

2025-04-12

How to Cite

Maxammadaliyeva Dilfuza Farxodjon qizi, Hasanboyeva Sevinch Ibrohim qizi, & Dilnoza Xaytmirzayevna Maxmudova. (2025). THE APPLICATION OF ARC LENGTH TO PHYSICS. International Scientific and Current Research Conferences, 1(01), 22–29. Retrieved from https://www.orientalpublication.com/index.php/iscrc/article/view/1836