The equation of motion of an object in a rotational frame is often confused with the equation of motion described by the polar coordinates in an inertial system, as demonstrated in a previous article (2008 Eur. J. Phys. 29 599–606). In this paper, explanations are supplemented to some misleading statements regarding the mechanical motion in rotating frames, and some additional descriptions regarding the relationships between the Cartesian coordinates and the polar coordinates in the same non-inertial frame are provided. Although centripetal and centrifugal forces are unrelated to Newton’s law of action–reaction, in the present article, the pairing of these forces is also interpreted as a type of action and reaction.

中文翻译：

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旋转框架中机械运动的教学补充

如先前的文章（2008 Eur。J. Phys。29 599–606）所示，旋转框架中物体的运动方程常常与惯性系统中的极坐标描述的运动方程相混淆。在本文中，对有关旋转框架中的机械运动的一些误导性陈述进行了补充，并提供了关于同一非惯性框架中笛卡尔坐标和极坐标之间关系的一些附加描述。尽管向心力和离心力与牛顿的作用-反应定律无关，但在本文中，这些力的配对也被解释为一种作用和反作用。