⟋ 锥度计算器（锥度比、锥角、每英尺锥度、求未知直径）Taper Calculator (Taper Ratio, Angle, Taper per Foot, Missing Diameter)

使用说明与常见问题How-to & FAQ

「锥度计算器（锥度比、锥角、每英尺锥度、求未知直径）」是什么？What is the Taper Calculator (Taper Ratio, Angle, Taper per Foot, Missing Diameter) tool?

由大端直径 D、小端直径 d 和长度 L 求锥度 (D − d)/L、1:n 锥度比、半角和全角（锥角）、每英尺锥度 (TPF) 和每英寸锥度；也可以由已知锥度或角度反求小端直径或长度。适用于车床加工、莫氏锥度等。本地处理。From the large diameter D, small diameter d and length L get the taper (D − d)/L, the 1:n taper ratio, the half angle and included angle, taper per foot (TPF) and per inch; or work back from a known taper or angle to the small diameter or the length. For lathe work, Morse tapers and similar. Processed locally.

如何使用「锥度计算器（锥度比、锥角、每英尺锥度、求未知直径）」？How do I use the Taper Calculator (Taper Ratio, Angle, Taper per Foot, Missing Diameter) tool?

在「锥度计算器（锥度比、锥角、每英尺锥度、求未知直径）」中，填写「求」、「大端直径」、「小端直径」、「长度」、「全角（锥角）°」等参数，结果会随输入实时计算并显示在下方。In the Taper Calculator (Taper Ratio, Angle, Taper per Foot, Missing Diameter): Fill in "Find", "Large diameter", "Small diameter", "Length", "Included angle °"; results are recalculated instantly as you type.

锥度怎么算？How is taper calculated?

锥度 = (大端直径 − 小端直径) ÷ 长度。例如 D = 20、d = 10、L = 100，锥度 0.1，即 1:10。Taper = (large diameter − small diameter) ÷ length. With D = 20, d = 10 and L = 100 the taper is 0.1, or 1:10.

锥角和半角是什么？What are the included and half angles?

半角 = arctan((D − d) ÷ (2L))，是车床小刀架要偏转的角度；全角（锥角）是半角的 2 倍。1:10 锥度的半角约 2.86°。Half angle = arctan((D − d) ÷ (2L)), the compound-rest setting on a lathe; the included angle is twice that. A 1:10 taper has a half angle of about 2.86°.

每英尺锥度怎么换算？How does taper per foot convert?

TPF = 每英寸锥度 × 12。莫氏锥度约为每英尺 0.6 英寸（约 1:20）。TPF = taper per inch × 12. Morse tapers are about 0.6 inch per foot (roughly 1:20).

能举个计算实例吗？Can you show a worked example?

例如在「锥度计算器（锥度比、锥角、每英尺锥度、求未知直径）」中填 大端直径 = 20，小端直径 = 10，长度 = 100，结果区显示：锥度：0.1；锥度 %：10For example, entering Large diameter = 20, Small diameter = 10, Length = 100 in the Taper Calculator (Taper Ratio, Angle, Taper per Foot, Missing Diameter) gives: Taper: 0.1; Taper %: 10

哪些输入会被检查？Which inputs are validated?

「锥度计算器（锥度比、锥角、每英尺锥度、求未知直径）」会检查这些输入——「大端直径」：必须填写，不能为负数；「小端直径」：不能为负数；「长度」：须大于 0；「全角（锥角）°」：可留空；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The Taper Calculator (Taper Ratio, Angle, Taper per Foot, Missing Diameter) checks its inputs — "Large diameter": required, cannot be negative; "Small diameter": cannot be negative; "Length": must be greater than 0; "Included angle °": optional; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.

有哪些选项可以调整？What options can I adjust?

「锥度计算器（锥度比、锥角、每英尺锥度、求未知直径）」的设置：「求」可选 锥度和角度、小端直径（已知锥角）、长度（已知锥角）（默认 锥度和角度）；「大端直径」默认 20；「小端直径」默认 10；「长度」默认 100；「全角（锥角）°」默认 5.72。每次生成结果都按当前设置处理。Settings in the Taper Calculator (Taper Ratio, Angle, Taper per Foot, Missing Diameter) — "Find": Taper and angle, Small diameter (from angle), Length (from angle) (default Taper and angle); "Large diameter" default 20; "Small diameter" default 10; "Length" default 100; "Included angle °" default 5.72. The result always uses the current settings.

计算结果可以用于作业或工程吗？Can I use the results for homework or engineering?

「锥度计算器（锥度比、锥角、每英尺锥度、求未知直径）」使用教科书标准公式（公式写在说明和常见问题中），适合学习和估算核对；涉及安全的工程设计请以规范和实测为准。The Taper Calculator (Taper Ratio, Angle, Taper per Foot, Missing Diameter) uses standard textbook formulas (given in the description and FAQ), which is good for learning and checking estimates; for safety-critical engineering follow codes and measured values.

「锥度计算器（锥度比、锥角、每英尺锥度、求未知直径）」免费吗？需要注册吗？Is the Taper Calculator (Taper Ratio, Angle, Taper per Foot, Missing Diameter) free? Do I need an account?

「锥度计算器（锥度比、锥角、每英尺锥度、求未知直径）」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Taper Calculator (Taper Ratio, Angle, Taper per Foot, Missing Diameter) is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.