File:Period Ratio of Ideal Pendulum.svg
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Summary[edit]
| Description |
English: This figure depicts the ratio of the actual period (oscillation period) of a pendulum versus the period given by the small-angle approximation method. The abscissa is the angular amplitude θ₀ of the pendulum, while the ordinate is the ratio T/T₀.
The ratio for some special angles, e.g. 30°, 45°, 60° and 90° were labeled. Derivations can be found in Pendulum (mathematics). This figure is created using Mathematica(R) version 8.0, using the following codes: plot = Plot[{2/π f[x π/180], 1}, {x, 0, 90}, Filling -> {1 -> {2} },
AxesOrigin -> {0, 0.99}, PlotRange -> {0.99, 1.21},
PlotLabel -> Style["Ratio of the Two Periods", Italic, 20],
AspectRatio -> 0.47];
Show[plot, GridLines -> {Range[0, 90, 10], Range[1.00, 1.20, 0.05]},
FrameLabel -> {Style["Angular Amplitude θ0", 12, Italic],
Style["T/T0", 12, Italic]}, Frame -> True]
Then I manually added the dashed lines and labels, and then saved the graphics in vector graphics.中文（中国大陆）：该图展示了角振幅θ₀的单摆的实际周期与使用小角近似得到的周期的比值。横坐标为角振幅θ₀，纵坐标为周期比值T/T₀。特殊角度（30°，45°，60°和90°）的周期比值在图中已标出。 偏差公式参见[[单摆]]词条，或[[Pendulum (mathematics)]]。 该矢量图使用Mathematica(R) 8.0版本创建，使用的代码请参见英文描述。 |
| Date | |
| Source | Own work based on: Pendulum period.svg by Alejo2083 |
| Author | FrenzY DT |
| SVG development |  This chart was created with Mathematica.  |
| Camera location |  | View this and other nearby images on: OpenStreetMap |  |
|---|
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I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 04:46, 2 May 2012 | | 512 × 512 (47 KB) | FrenzY DT (talk | contribs) |
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