螺旋(铁路)
物理
顺时针方向的
半径
圆周运动
光学
梁(结构)
方向(向量空间)
功率(物理)
职位(财务)
几何学
数学
经典力学
计算机科学
数学分析
振幅
计算机安全
财务
量子力学
经济
出处
期刊:Proceedings of the Royal Society of London
[The Royal Society]
日期:1909-07-31
卷期号:82 (557): 560-567
被引量:394
标识
DOI:10.1098/rspa.1909.0060
摘要
When a shaft of circular section is revolving uniformly, and is transmitting power uniformly, a row of particles originally in a line parallel to the axis will lie in a spiral of constant pitch, and the position of the shaft at any instant may be described by the position of this spiral. Let us suppose that the power is transmitted from left to right, and that as viewed from the left the revolution is clockwise. Then the spiral is a left-handed screw. Let it be on the surface, and there make an angle є with the axis. Let the radius of the shaft be a , and let one turn of the spiral have length λ along the axis. We may term λ the wave-length of the spiral. We have tan є = 2 πa / λ . If the orientation of the section at the origin at time t is given by θ = 2 π N t , where N is the number of revolutions per second, the orientation of the section at x .
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