Some mathematics and physics in the garden

被引：1

作者：

De Luca, R. ^{[1
]}

机构：

[1] Univ Salerno, Dipartimento Fis ER Caianiello, Fisciano, SA, Italy

来源：

EUROPEAN JOURNAL OF PHYSICS | 2012年 / 33卷 / 04期

关键词：

D O I：

10.1088/0143-0807/33/4/785

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

Observing the way a watering hose is wrapped on a rotating cylinder, a catenary shape is detected for the suspended portion of the hose. We calculate the angle alpha the tangent to the curve at the highest point of the suspended portion makes with the horizontal. By means of this quantity, the length of the suspended and dragged portions of the hose and the work done to retrieve the hose can be found. The problem may be solved by means of Newtonian mechanics, adopting elementary notions of calculus and trigonometry.

引用

页码：785 / 791

页数：7

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