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A Cartesian diver to study oscillations and internal gravity waves in a stratified fluid 研究分层流体振荡和内部重力波的笛卡尔潜水器
IF 0.7 4区 教育学 Q3 Physics and Astronomy Pub Date : 2024-06-12 DOI: 10.1088/1361-6404/ad57a2
M. Carpineti, Irene Spongano, F. Croccolo, A. Vailati
We propose a variation of the well-known Cartesian diver experiment where, instead of moving in a uniform fluid, the diver floats in a fluid stratified in density. In contrast to the original experiment, for a given external pressure the diver can stop in a stable equilibrium position within the fluid, at the depth where the surrounding density matches its own. By varying the applied pressure, the density of the diver changes and it moves until it reaches a new stable equilibrium condition at a different depth. When a sudden pressure pulse is applied, the diver, pushed off its equilibrium position, starts oscillating due to a restoring force that depends on the density gradient. The oscillations produce internal gravity waves that are typical of stratified fluids, when a portion of them is displaced and transmits its motion to the surrounding fluid. Although they are extremely difficult to observe, gravity waves are particularly interesting, as they typically occur in the atmosphere and in the stars. We propose a simple experiment and suggest a way to make the internal gravity waves visible. The experiment can be realized by students with easy-to-find household objects and used to improve their understanding of many concepts and laws of hydrodynamics, but also to introduce them to complex phenomena of general interest.
我们提出了著名的笛卡尔潜水员实验的变体,即潜水员不是在均匀流体中移动,而是漂浮在密度分层的流体中。与原始实验不同的是,在给定外部压力的情况下,潜水员可以停在流体中一个稳定的平衡位置,即周围密度与潜水员自身密度相匹配的深度。通过改变施加的压力,潜水员的密度会发生变化并移动,直到在不同深度达到新的稳定平衡状态。当突然施加压力脉冲时,潜水器会被推离平衡位置,并在取决于密度梯度的恢复力作用下开始摆动。振荡会产生内部重力波,这是分层流体的典型特征,当其中一部分发生位移并将其运动传递给周围流体时,就会产生内部重力波。重力波虽然极难观测,但却特别有趣,因为它们通常出现在大气层和恒星中。我们提出了一个简单的实验,并建议了一种使内部重力波可见的方法。学生们可以用容易找到的家用物品来实现这个实验,从而加深对流体力学的许多概念和定律的理解,同时还可以向他们介绍一些具有普遍意义的复杂现象。
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引用次数: 0
The internal ballistics of a spring gun 弹簧枪的内部弹道
IF 0.7 4区 教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES Pub Date : 2024-06-05 DOI: 10.1088/1361-6404/ad44f8
Vladimir Ivchenko
We consider the features of pellet motion under the elastic force acting from a decompressing spring of a finite mass. The muzzle speed of the pellet decreases as the ratio between spring and pellet mass increases. In the general case, the pellet loses contact with the spring as it is stretched. This effect occurs due to the fact that the peak of elastic displacement wave, propagating from the fixed end, reaches the opposite end of the spring. With a large relative mass of the pellet, it accelerates along a quarter of the sinusoid. At the limit of a very small pellet mass, it moves nearly all the time along with the end of the spring at an almost constant speed, approximately equal to the speed of sound propagation in the spring. In this case, after the initial compression, the pellet passes the equilibrium position, and comes off after moving a similar distance beyond the equilibrium.
我们考虑了在有限质量的减压弹簧的弹性力作用下弹丸的运动特征。弹丸的枪口速度随着弹簧和弹丸质量比的增大而减小。在一般情况下,弹丸在拉伸过程中会与弹簧失去接触。产生这种效果的原因是弹性位移波的峰值从固定端传播到弹簧的另一端。当小球的相对质量较大时,它会沿着正弦曲线的四分之一加速。在弹丸质量很小的情况下,弹丸几乎一直以几乎恒定的速度沿弹簧末端运动,大约等于声音在弹簧中的传播速度。在这种情况下,在初始压缩后,小球通过平衡位置,并在平衡位置外移动类似的距离后脱落。
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引用次数: 0
Studying the Breakdown Electric Field in Uniform and Non-uniform Air Gaps 研究均匀和非均匀气隙中的击穿电场
IF 0.7 4区 教育学 Q3 Physics and Astronomy Pub Date : 2024-06-03 DOI: 10.1088/1361-6404/ad5392
J. Riba
High voltage is essential in power grids, but it inevitably leads to high electrical stress and the associated risk of electrical discharges. Due to the complexity of the phenomena involved in electrical discharges, there are no analytical formulas for predicting the electric field strength at which they initiate, so experimental data and numerical methods are required for this purpose. According to many sources, electrical discharges can occur in air at normal pressure and temperature when the electric field strength is approximately 3 kV/mm or greater. This paper analyzes and discusses this threshold in detail by examining relevant electrode geometries used in high voltage applications from experimental data found in the scientific literature and using 2D finite element analysis (FEA) simulations. Uniform, quasi-uniform, and non-uniform field gaps are analyzed to help students draw conclusions and gain insight into the nature of gas breakdown and the applicability of the 3 kV/mm threshold. The approach proposed in this paper is well suited for a practical session or group project for undergraduate or even graduate courses. Despite the important effects and design implications of electrical discharges on high voltage devices, apparatus and systems, this topic is rarely covered in regular courses.
高压在电网中是必不可少的,但它不可避免地会导致高电应力和相关的放电风险。由于放电现象的复杂性,目前还没有预测放电发生时电场强度的分析公式,因此需要实验数据和数值方法来实现这一目的。根据许多资料,在正常压力和温度下,当电场强度约为 3 kV/mm 或更大时,空气中就会发生放电。本文通过科学文献中的实验数据和二维有限元分析(FEA)模拟,对高压应用中使用的相关电极几何形状进行了详细分析和讨论。本文对均匀、准均匀和非均匀场隙进行了分析,以帮助学生得出结论,并深入了解气体击穿的性质和 3 kV/mm 阈值的适用性。本文提出的方法非常适合本科生甚至研究生课程的实践环节或小组项目。尽管放电对高压设备、仪器和系统具有重要影响和设计意义,但常规课程很少涉及这一主题。
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引用次数: 0
Cooling of an object by forced convection 通过强制对流冷却物体
IF 0.7 4区 教育学 Q3 Physics and Astronomy Pub Date : 2024-06-03 DOI: 10.1088/1361-6404/ad5393
Mateo Dutra, M. Monteiro, Arturo C. Marti
We present an experiment on forced convection where a previously heated object is cooled under the effect of a controlled stream of air. We consider a square copper plate in which temperature variations can be considered negligible and we measure the cooling rate as a function of the average velocity of the air stream. We use a thermal camera to measure the temperature field and the cooling curves as a function of time for different conditions. An empirical relation between the characteristic cooling time and the mean velocity of the air stream is reported. The results obtained are discussed in the framework of simple dimensional models and their limits of validity.
我们介绍了一个关于强制对流的实验,在该实验中,先前加热的物体在受控气流的作用下被冷却。我们考虑的是一个方形铜板,其中的温度变化可以忽略不计,我们测量的是冷却率与气流平均速度的函数关系。我们使用热像仪测量不同条件下的温度场和冷却曲线与时间的函数关系。报告了特征冷却时间与气流平均速度之间的经验关系。我们在简单尺寸模型的框架内讨论了所获得的结果及其有效性极限。
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引用次数: 0
Point-charge models and averages for electromagnetic quantities considered in two relativistic inertial frames 在两个相对论惯性框架下考虑的电磁量的点电荷模型和平均值
IF 0.7 4区 教育学 Q3 Physics and Astronomy Pub Date : 2024-05-27 DOI: 10.1088/1361-6404/ad44f6
Timothy H Boyer
Electromagnetic quantities at a spacetime point have tensor Lorentz transformations between relatively-moving inertial frames. However, since the Lorentz transformation of time between inertial frames depends upon both the time and space coordinates, averages of electrodynamic quantities at a single time will in general depend upon the inertial frame, and will differ between inertial frames. Here we illustrate how the use of continuous charge and current distributions rather than point-charge distributions can lead to physically mystifying and even inaccurate results for electromagnetic quantities and physical phenomena. The discrepancy noted between the average electric field values in different inertial frames is particularly striking because it is first order in the relatative velocity between the frames.
在相对运动的惯性框架之间,时空点上的电磁量具有张量洛伦兹变换。然而,由于惯性框架之间的时间洛伦兹变换取决于时间坐标和空间坐标,因此单个时间的电动量平均值一般取决于惯性框架,并且在不同惯性框架之间会有所不同。在此,我们将说明使用连续电荷和电流分布而非点电荷分布会如何导致电磁量和物理现象的物理神秘性,甚至导致不准确的结果。不同惯性框架下的平均电场值之间的差异尤为显著,因为它是框架间相对速度的一阶。
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引用次数: 0
University students’ recognition of typical wave optics patterns 大学生对典型波光学图案的认识
IF 0.7 4区 教育学 Q3 Physics and Astronomy Pub Date : 2024-05-27 DOI: 10.1088/1361-6404/ad3ca4
Ana Susac, Stefan Küchemann, Maja Planinic and Jochen Kuhn
The recognition and distinction of typical interference and diffraction patterns are among the expected learning outcomes of studying wave optics. Previous studies have reported high school students’ difficulties with this task. In this study, we investigated university students’ ability to distinguish typical wave optics patterns obtained by the double slit, single slit, and diffraction grating. We also used eye tracking to obtain an insight into the distribution of students’ visual attention during the task. The results showed that university students had similar difficulties in recognizing wave optics patterns as high school students. They mostly struggled with identification of the double-slit interference patterns and diffraction grating patterns of monochromatic light while they were more successful in recognition of the diffraction pattern of white light on an optical grating and single-slit diffraction patterns. The eye-tracking data also revealed that students spent more time attending colourful than grey patterns in questions regarding diffraction of white light on an optical grating, thus suggesting that they were aware that the diffraction grating separates white light into colours. In questions regarding monochromatic light patterns, students overall mostly attended the single-slit diffraction pattern probably because of its distinct central maximum. Furthermore, the longer fixation duration for patterns compared to the text implies that students found it easier to extract information from the text than from the patterns. No prior research has compared the number of transitions during problem solving with the accuracy of the answers. In this study, we observed that students who incorrectly solved a task demonstrated a significantly higher number of gaze transitions between the question and the options, as well as among different options. The results of this study indicate that the recognition of typical wave optics patterns is also difficult for university students, thus suggesting that more attention should be paid to systematic observation and identification of key features of basic wave optics phenomena in lecture demonstrations and student laboratories.
识别和区分典型的干涉和衍射图样是学习波光学的预期学习成果之一。以往的研究表明,高中生在完成这项任务时存在困难。在本研究中,我们调查了大学生分辨由双缝、单缝和衍射光栅获得的典型波光学图案的能力。我们还利用眼动仪了解了学生在完成任务时的视觉注意力分布情况。结果显示,大学生在识别波光学图案时遇到的困难与高中生相似。他们大多在识别单色光的双缝干涉图案和衍射光栅图案时感到吃力,而在识别白光在光栅上的衍射图案和单缝衍射图案时则较为成功。眼动跟踪数据还显示,在有关白光在光栅上的衍射图案的问题中,学生花在彩色图案上的时间多于花在灰色图案上的时间,这表明他们知道衍射光栅将白光分成了不同的颜色。在有关单色光图案的问题中,学生总体上主要注意的是单缝衍射图案,这可能是因为它有明显的中心最大值。此外,与文字相比,图案的固定时间更长,这意味着学生认为从文字中提取信息比从图案中提取信息更容易。之前没有研究将解题过程中的转换次数与答案的准确性进行过比较。在本研究中,我们观察到,解题错误的学生在问题和选项之间以及不同选项之间的凝视转换次数明显较多。本研究的结果表明,对于大学生来说,识别典型的波光学模式也是困难的,因此建议在讲座演示和学生实验室中,应更加注重系统地观察和识别基本波光学现象的关键特征。
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引用次数: 0
On the Sagnac effect and the consistency of relativity theory 关于萨格纳克效应和相对论的一致性
IF 0.7 4区 教育学 Q3 Physics and Astronomy Pub Date : 2024-05-16 DOI: 10.1088/1361-6404/ad44f7
Justo Pastor Lambare
The Sagnac effect is an interferometric phenomenon produced by rotation. It has a rich history and presently has numerous technological applications. Despite some persistent claims to the contrary, we explain why the Sagnac effect does not prove relativity either incorrect or inconsistent. Analyzing such misunderstandings has didactic value because it allows us to review some subtle relativity concepts. It also reveals the importance of basing scientific reasoning on rigorous logical thinking to avoid confusion derived from prejudices based on our limited everyday human experience.
萨格纳克效应是一种由旋转产生的干涉测量现象。它有着悠久的历史,目前有许多技术应用。尽管有些人不断提出相反的说法,我们还是要解释一下为什么萨格纳克效应并不能证明相对论不正确或不一致。分析这种误解具有教学价值,因为它让我们回顾了一些微妙的相对论概念。它还揭示了以严谨的逻辑思维为基础进行科学推理的重要性,以避免因我们有限的人类日常经验所产生的偏见而造成的混淆。
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引用次数: 0
Echoes of social experience: Tracing the link between a sense of belonging in school physics classes and physics students’ persistence in higher education 社会经验的回声:追踪学校物理课的归属感与物理系学生坚持接受高等教育之间的联系
IF 0.7 4区 教育学 Q3 Physics and Astronomy Pub Date : 2024-05-15 DOI: 10.1088/1361-6404/ad4c2a
Markus Sebastian Feser, Thorid Rabe, Inka Haak
The present study investigates on an exploratory level the extent to which the sense of belonging that university physics students experienced in their physics classes in secondary school impacts their intention to drop out or alter their course of study in higher education. Analysing data collected between April and June 2022 among first-year physics students at 20 German universities (N = 263), we find a significant and negative effect on the part of participants’ (remembered) sense of belonging in school physics classes on their intention to drop out or change their studies. Parallel mediation analysis further reveals that this effect is fully mediated by students’ current sense of belonging to physics and their university. Notably, the indirect effect via participants’ current sense of belonging to physics is approximately four times as high as the indirect effect via university belonging. These results emphasise the importance of social embeddedness in early physics experiences on students’ academic development in higher education. Limitations of these results as well as implications regarding a potential improvement of persistence and satisfaction within physics-related higher-education programs are outlined at the end of this paper.
本研究在探索性的层面上调查了大学物理专业学生在中学物理课上所体验到的归属感对其辍学或改变高等教育学习方向的影响程度。通过分析 2022 年 4 月至 6 月间收集的 20 所德国大学物理专业一年级学生(263 人)的数据,我们发现参与者在学校物理课上(记忆中)的归属感对其退学或转学意向有显著的负面影响。平行中介分析进一步表明,这种影响完全由学生当前对物理和大学的归属感所中介。值得注意的是,通过参与者当前的物理归属感产生的间接效应大约是通过大学归属感产生的间接效应的四倍。这些结果强调了早期物理体验中的社会嵌入对学生在高等教育中的学业发展的重要性。本文最后概述了这些结果的局限性,以及对提高物理相关高等教育项目的持续性和满意度的潜在影响。
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引用次数: 0
Acceleration inside an aircraft in parabolic flight 抛物线飞行中飞机内部的加速度
IF 0.7 4区 教育学 Q3 Physics and Astronomy Pub Date : 2024-05-14 DOI: 10.1088/1361-6404/ad4b75
J. J. Teixeira, Marta Gonçalves, A A Soares
This work presents and analyzes the acceleration data inside an aircraft during a parabolic flight. The data used was obtained during flight from the aircraft's automatic recordings and from a portable data-logger with a built-in 3-axis accelerometer connected to a graphic calculator. The comparison of the accelerations obtained by the two methods shows a good agreement; however, during the higher accelerations about -18 m/s2, the discrepancies reach values of 10%. From the fit curves to the altitude data during each parabolic manoeuver performed by the aircraft, it was possible to estimate martian and lunar gravity, as well as the values of the acceleration of gravity during the microgravity moments. The analysis presented can also help improve understanding of the concepts of inertial forces and the equivalence between gravity and acceleration.
这项研究介绍并分析了一架飞机在抛物线飞行过程中的加速度数据。所使用的数据是在飞行过程中从飞机的自动记录和一个与图形计算器相连的内置三轴加速度计的便携式数据记录器中获得的。对两种方法获得的加速度进行比较后发现,两者的一致性很好;但是,在-18 m/s2 左右的较高加速度下,两者的差异值达到了 10%。根据飞行器每次抛物线机动过程中高度数据的拟合曲线,可以估算出火星引力和月球引力,以及微重力时刻的重力加速度值。所做的分析还有助于加深对惯性力概念以及重力和加速度之间等效关系的理解。
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引用次数: 0
Experimental analysis of propeller thrust in an undergraduate physics laboratory 本科生物理实验室对螺旋桨推力的实验分析
IF 0.7 4区 教育学 Q3 Physics and Astronomy Pub Date : 2024-05-14 DOI: 10.1088/1361-6404/ad4b77
J. Gómez-Tejedor, Eduard Blasco-Pérez, Jaime Riera
As propulsive systems are challenging for undergraduates to understand, it is essential to design experiments that can help their visualization and testing. The development of digital technology (high-speed cameras, digital tracking software, or 3D printers) facilitates the implementation of such designs. We proposed to study the thrust produced by a propeller, whose operating principles are based on the conservation of linear momentum. The study was carried out on an air track to avoid frictional forces. Several system characteristics were established, such as the propellor’s rotation speed and angle of attack and different magnitudes were determined, including the dynamic thrust and static force values. 3D CAD software was used to design the propellers for the experiments, and 3D printers to produce them.
由于推进系统对于本科生来说是一个难以理解的问题,因此设计有助于可视化和测试的实验至关重要。数字技术(高速相机、数字跟踪软件或 3D 打印机)的发展为实现此类设计提供了便利。我们提议研究螺旋桨产生的推力,其工作原理是基于线性动量守恒。研究在空气轨道上进行,以避免摩擦力。我们确定了几个系统特征,如螺旋桨的旋转速度和攻角,并确定了不同的推力大小,包括动态推力和静态力值。实验使用 3D CAD 软件设计螺旋桨,并使用 3D 打印机制作螺旋桨。
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引用次数: 0
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European Journal of Physics
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