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透過智慧手機瞭解彈簧串聯和並聯現象

Understanding the Phenomenon of the Series and Parallel Spring by Smartphone

摘要


1676年英國科學家虎克(Robert Hooke)用拉丁文寫下一段易位構詞(anagram)的字謎,這段字謎描述了一項定律,虎克在1679年公布謎底,就是現在稱做的虎克定律。虎克定律可以廣義地描述彈性物體受伸展或壓縮時所受的作用力(F= - k x),通常學校是利用彈簧來當作實驗的工具,藉由彈簧懸掛各種不同質量的重物,與彈簧伸長量的關係,驗證虎克定律。彈簧受力後的運動屬於簡諧運動,本論文利用智慧手機本身所內建重力感測器功能(可量加速度),測量彈簧在串聯和並聯的狀況下,週期之間的變化。

並列摘要


The British physicist Robert Hooke wrote down a law as a Latin anagram in 1676. He published the solution, now called Hooke's law in 1679. The Hooke's law describes the extension/compression of an elastic material exerted by a force in form of F = - k x in general. High school students learn the Hooke's law by hanging different objects with a spring in laboratory. In this paper, we show the on-board sensors of the smartphones can measure the period of the series and parallel springs. We demonstrate the smartphone can be used for doing the physics experiment easily.

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