The wave motion of a revolving shaft, and a suggestion as to the angular momentum in a beam of circularly polarised light
The wave motion of a revolving shaft, and a suggestion as to the angular momentum in a beam of circularly polarised light
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DOI：
10.1098/rspa.1909.0060
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发表时间：
1909-07-01
期刊：
影响因子：
--
通讯作者：
Poynting, JH
中科院分区：
文献类型：
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作者：
Poynting, JH
当圆形截面轴均匀旋转、均匀传递动力时，一排原本与轴线平行的颗粒会形成一条等螺距的螺旋线，而轴在任何时刻的位置都可以用该螺旋线的位置来描述。让我们假设力量是从左向右传递的，从左看，公转是顺时针的。那么螺旋线就是一个左手螺丝。让它在曲面上，在那里与轴成一个角度є。让轴的半径为Bea，并使一圈螺旋的长度沿轴为λ。我们可以称λ为螺旋线的波长。我们有tanє=2πa/λ。如果在原点的截面方向由θ=2πNT给出，其中N是每秒的转数，则为截面ATx的方向。
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 bea, and let one turn of the spiral have lengthλalong the axis. We may termλthe wave-length of the spiral. We have tan є = 2πa/λ. If the orientation of the section at the origin at timetis given byθ= 2πNt, where N is the number of revolutions per second, the orientation of the section atx.