A curvature radius formula by using complex functions

REN Jia-qi, JIANG Ye, WANG Mao-sheng, HUANG Wan-xia

doi:10.16854 /j.cnki.1000-0712.190275

College Physics >

2020 , Vol. 39 >Issue 07: 63 - 65

DOI: https://doi.org/10.16854 /j.cnki.1000-0712.190275

A curvature radius formula by using complex functions

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School of Physics and Electronic Information，Anhui Normal University，Wuhu，Anhui 241002，China

Received date: 2019-06-20

Revised date: 2019-11-14

Online published: 2020-07-23

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Abstract

We deduce the curvature radius formula of motion curve by using the complex representation of the

velocity and acceleration vector in the planar natural coordinate system. Our formula agrees with the formula by using

traditional differential geometric method. The result shows the complex function method，which needs not anything

geometric picture，can deduce the curvature radius formula very well.

Key words： complex function; curvature redius; planar natural coordinate system

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REN Jia-qi, JIANG Ye, WANG Mao-sheng, HUANG Wan-xia . A curvature radius formula by using complex functions[J]. College Physics, 2020 , 39(07) : 63 -65 . DOI: 10.16854 /j.cnki.1000-0712.190275

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