论文标题

当四分之一跳入杯子时(而没有)

When the quarter jumps into a cup (and when it does not)

论文作者

Dutra, Mateo, Suárez, Álvaro, Monteiro, Martín, Marti, Arturo C.

论文摘要

虽然伯努利的方程是物理文献和其他传播方式中最常提到的话题之一,但它也是最不理知识的话题之一。奇怪的是,在奇妙的书《变成世界内部的世界》 [1] [1]中,罗伯特·埃里希(Robert Ehrlich)提出了一个演示,该示范包括将四分之一美元的硬币吹入杯子中,错误地使用了伯诺利方程来解释。在目前的工作中,我们对演示进行了调整,以表明硬币跳入杯子的情况以及其他杯子的情况,证明了基于Bernoulli的解释是有缺陷的。我们的演示对于解决伯努利方程的不正确使用,对于解决常见的误解很有用,较高的速度总是意味着较低的压力。

While Bernoulli's equation is one of the most frequently mentioned topics in Physics literature and other means of dissemination, it is also one of the least understood. Oddly enough, in the wonderful book "Turning the world inside out" [1], Robert Ehrlich proposes a demonstration that consists of blowing a quarter dollar coin into a cup, incorrectly explained using Bernoulli's equation. In the present work, we have adapted the demonstration to show situations in which the coin jumps into the cup and others in which it does not, proving that the explanation based on Bernoulli's is flawed. Our demonstration is useful to tackle the common misconception, stemming from the incorrect use of Bernoulli's equation, that higher velocity invariably means lower pressure.

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