🚀 长度收缩（相对论）Length Contraction Calculator

使用说明与常见问题How-to & FAQ

「长度收缩（相对论）」是什么？What is the Length Contraction Calculator tool?

运动物体沿运动方向的长度 L = L₀ √(1 - v²/c²)，L₀ 为固有长度；同时给出洛伦兹因子 γ。本地处理。Length along the motion L = L₀ √(1 - v²/c²) for rest length L₀; the Lorentz factor γ is shown too. Processed locally.

如何使用「长度收缩（相对论）」？How do I use the Length Contraction Calculator tool?

填写固有长度和速度，并在「速度单位」中选择相对光速的比例或 m/s，即可得到运动方向上的长度 L = L₀√(1 − v²/c²) 和洛伦兹因子 γ。结果会随输入实时更新。Enter the rest length and the speed, choose a fraction of c or m/s under "Speed unit", and get the contracted length L = L₀√(1 − v²/c²) and the Lorentz factor γ. The result updates as you type.

横着方向？Perpendicular?

垂直于运动方向的长度不收缩。Lengths perpendicular to the motion do not contract.

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

例如在「长度收缩（相对论）」中填 固有长度 = 1，速度（相对光速的比例，或 m/s） = 0.8，速度单位 = 光速的倍数，结果区显示：收缩后长度：0.6；收缩量：0.4 (40%)；洛伦兹因子 γ：1.66666667；β = v/c：0.8For example, entering Rest length = 1, Speed (fraction of c, or m/s) = 0.8, Speed unit = Fraction of c in the Length Contraction Calculator gives: Contracted length: 0.6; Contraction: 0.4 (40%); Lorentz factor γ: 1.66666667; β = v/c: 0.8

哪些输入会被检查？Which inputs are validated?

「长度收缩（相对论）」会检查这些输入——「固有长度」：必须填写，须大于 0；「速度（相对光速的比例，或 m/s）」：必须填写，不能为负数；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 Length Contraction Calculator checks its inputs — "Rest length": required, must be greater than 0; "Speed (fraction of c, or m/s)": required, cannot be negative; 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?

「长度收缩（相对论）」的设置：「固有长度」默认 1；「速度（相对光速的比例，或 m/s）」默认 0.8；「速度单位」可选 光速的倍数、米/秒（默认 光速的倍数）。每次生成结果都按当前设置处理。Settings in the Length Contraction Calculator — "Rest length" default 1; "Speed (fraction of c, or m/s)" default 0.8; "Speed unit": Fraction of c, m/s (default Fraction of c). 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?

「长度收缩（相对论）」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 Length Contraction Calculator 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.

「长度收缩（相对论）」免费吗？需要注册吗？Is the Length Contraction Calculator free? Do I need an account?

「长度收缩（相对论）」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 Length Contraction Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.