Transformation of kinematical quantities from rotating into static coordinate system
Dimitar G. Stoyanov
TL;DR
This paper derives the correct relations for transforming kinematical quantities between uniformly rotating and static coordinate systems, addressing the problem of using rotating frames in motion analysis.
Contribution
It provides the accurate mathematical relations for converting kinematical quantities between rotating and static coordinate systems, clarifying previous ambiguities.
Findings
Derived the correct transformation relations for kinematical quantities.
Clarified the use of rotating coordinate systems in motion analysis.
Enhanced understanding of motion description in rotating frames.
Abstract
In this article the problem for the using of uniformly rotating coordinate system is considered. The correct relations between the kinematical quantities characterizing the motion of a body relative to uniformly rotating system and static coordinate system are obtained.
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Taxonomy
TopicsAerospace Engineering and Control Systems · Mechanics and Biomechanics Studies · Advanced Theoretical and Applied Studies in Material Sciences and Geometry