![]() The concept of acceleration is developed as the rate of change of velocity with special cases (e.g., centripetal acceleration) developed to describe particular types of motion (e.g., circular motion). ![]() Introduction Classical mechanics textbooks universally address particle motion and associated quantities such as acceleration. PACS numbers: 01.30.Rr, 01.40.-d, 02.40.Hw UDC 531.122 Keywords: particle’s motion, Frenet–Serret frame, centripetal acceleration 1. ![]() Within this frame, centripetal acceleration emerges as a natural consequence of a particle’s motion. E-mail address: Received 6 October 2003 Accepted 15 December 2003 Online 19 April 2004 A clear physical description of a particle’s motion in terms of the components of its acceleration is obtained if the trajectory is described in terms of the Frenet–Serret frame. ![]() ISSN1330–0008 CODENFIZAE4 EMERGENCE OF CENTRIPETAL ACCELERATION WITHIN THE FRENET–SERRET FRAME JOSEPH JOHN BEVELACQUA Bevelacqua Resources, Suite 100, 343 Adair Drive, Richland, WA 99352 U.S.A.
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