旋转秋千游乐设施中的科里奥利效应和耦合振荡

IF 0.6 4区教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES

European Journal of Physics Pub Date : 2024-01-15 DOI:10.1088/1361-6404/ad1ed6

J. Schilder, Ann-Marie Pendrill

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引用次数: 0

摘要

旋转秋千在世界各地的公园里有许多不同的版本。它们是引力质量和惯性质量相等的美丽典范：空秋千和带着重物的秋千与垂直面的夹角相同。然而，有时你会发现，在室外游乐设施中，空秋千的运动模式会有所不同，除了旋转木马头部倾斜引起的摆动外，风还会引起额外的运动，如横向或前后运动。本文的重点是非倾斜屋顶这种较简单情况下的摆动。即使在这种情况下，科里奥利效应也会使摆动运动变得复杂，从而导致侧向摆动和前后摆动之间的陀螺耦合。我们将在几个特殊情况下说明这种耦合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Coriolis eﬀect and coupled oscillations in a rotating swings amusement ride

Rotating swings are found in many diﬀerent versions in parks around the world. They are beautiful examples of the equivalence between gravitational and inertial mass: Empty swings and swings with heavy adults hang at the same angle to the vertical. However, sometimes you may notice empty swings moving in a diﬀerent pattern in an outdoor ride, where wind can induce additional motion, sideways or back to front, in addition to any oscillations caused by a tilted carousel head. This paper focuses on oscillations for the simpler case of a non-tilting roof. Even for this case, the oscillating motion is found to be complicated by the Coriolis eﬀect, which leads to a gyroscopic coupling between sideways oscillations and back-to-front oscillations. This coupling is illustrated for a few special cases.

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来源期刊

European Journal of Physics 物理-物理：综合

CiteScore

1.70

自引率

28.60%

发文量

128

审稿时长

3-8 weeks

期刊介绍： European Journal of Physics is a journal of the European Physical Society and its primary mission is to assist in maintaining and improving the standard of taught physics in universities and other institutes of higher education. Authors submitting articles must indicate the usefulness of their material to physics education and make clear the level of readership (undergraduate or graduate) for which the article is intended. Submissions that omit this information or which, in the publisher''s opinion, do not contribute to the above mission will not be considered for publication. To this end, we welcome articles that provide original insights and aim to enhance learning in one or more areas of physics. They should normally include at least one of the following: Explanations of how contemporary research can inform the understanding of physics at university level: for example, a survey of a research field at a level accessible to students, explaining how it illustrates some general principles. Original insights into the derivation of results. These should be of some general interest, consisting of more than corrections to textbooks. Descriptions of novel laboratory exercises illustrating new techniques of general interest. Those based on relatively inexpensive equipment are especially welcome. Articles of a scholarly or reflective nature that are aimed to be of interest to, and at a level appropriate for, physics students or recent graduates. Descriptions of successful and original student projects, experimental, theoretical or computational. Discussions of the history, philosophy and epistemology of physics, at a level accessible to physics students and teachers. Reports of new developments in physics curricula and the techniques for teaching physics. Physics Education Research reports: articles that provide original experimental and/or theoretical research contributions that directly relate to the teaching and learning of university-level physics.