⚙️ 齿轮比计算器（转速、扭矩、多级齿轮）Gear Ratio Calculator (Speed, Torque, Gear Trains)

使用说明与常见问题How-to & FAQ

「齿轮比计算器（转速、扭矩、多级齿轮）」是什么？What is the Gear Ratio Calculator (Speed, Torque, Gear Trains) tool?

齿轮比 = 从动齿数 ÷ 主动齿数，可加更多级组成齿轮系；可选输入转速和扭矩，算出输出转速和理想输出扭矩，并给出最简整数比。本地处理。Gear ratio = driven teeth ÷ drive teeth, with optional extra stages for a gear train. Add an input speed and torque to get the output speed and ideal output torque, plus the ratio in lowest terms. Processed locally.

如何使用「齿轮比计算器（转速、扭矩、多级齿轮）」？How do I use the Gear Ratio Calculator (Speed, Torque, Gear Trains) tool?

在「齿轮比计算器（转速、扭矩、多级齿轮）」中，填写「从动齿数」、「主动齿数」、「更多级（可选，主动:从动，如 12:36）」、「输入转速 rpm（可选）」、「输入扭矩（可选，任意单位）」等参数，结果会随输入实时计算并显示在下方。In the Gear Ratio Calculator (Speed, Torque, Gear Trains): Fill in "Driven gear teeth", "Drive gear teeth", "Extra stages (optional, drive:driven, e.g. 12:36)", "Input speed, rpm (optional)", "Input torque (optional, any unit)"; results are recalculated instantly as you type.

齿轮比怎么算？How is the gear ratio worked out?

齿轮比 = 从动齿数 ÷ 主动齿数。例如主动轮 16 齿带动 48 齿的从动轮，齿轮比是 3 : 1：主动轮转 3 圈，从动轮转 1 圈。多级齿轮系把每一级的比值相乘。Gear ratio = driven teeth ÷ drive teeth. A 16-tooth drive gear turning a 48-tooth driven gear gives 3 : 1: the drive gear turns three times for each turn of the driven gear. For a gear train, multiply the ratios of all stages.

转速和扭矩怎么变？How do speed and torque change?

输出转速 = 输入转速 ÷ 齿轮比，输出扭矩 = 输入扭矩 × 齿轮比。比值大于 1 是减速（更慢、扭矩更大），小于 1 是增速。扭矩按理想情况计算，实际齿轮会有几个百分点的摩擦损耗。Output speed = input speed ÷ ratio and output torque = input torque × ratio. A ratio above 1 is a reduction (slower, more torque); below 1 is an overdrive. Torque is the ideal value; real gears lose a few percent to friction.

惰轮会影响齿轮比吗？Does an idler gear change the ratio?

不会。夹在两个齿轮之间的惰轮只改变旋转方向，不改变总齿轮比，所以不用把它算作一级。同轴上的两个齿轮（复合齿轮）才算新的一级。No. An idler between two gears only reverses the direction of rotation and leaves the overall ratio unchanged, so do not enter it as a stage. Two gears on one shaft (a compound gear) do start a new stage.

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

例如在「齿轮比计算器（转速、扭矩、多级齿轮）」中填 从动齿数 = 48，主动齿数 = 16，结果区显示：齿轮比（从动 : 主动）：3 : 1；最简整数比：3 : 1；类型：减速：输出更慢、扭矩更大；ℹ 齿轮比 = 各级（从动齿数 ÷ 主动齿数）的乘积；输出转速 = 输入转速 ÷ 齿轮比；输出扭矩 = 输入扭矩 × 齿轮比For example, entering Driven gear teeth = 48, Drive gear teeth = 16 in the Gear Ratio Calculator (Speed, Torque, Gear Trains) gives: Gear ratio (driven : drive): 3 : 1; Ratio in lowest terms: 3 : 1; Type: reduction: slower output, more torque; ℹ ratio = product of (driven ÷ drive teeth) over all stages; output speed = input speed ÷ ratio; output torque = input torque × ratio

哪些输入会被检查？Which inputs are validated?

「齿轮比计算器（转速、扭矩、多级齿轮）」会检查这些输入——「从动齿数」、「主动齿数」：必须填写；「输入转速 rpm（可选）」：不能为负数；「输入扭矩（可选，任意单位）」：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 Gear Ratio Calculator (Speed, Torque, Gear Trains) checks its inputs — "Driven gear teeth", "Drive gear teeth": required; "Input speed, rpm (optional)": cannot be negative; "Input torque (optional, any unit)": 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?

「齿轮比计算器（转速、扭矩、多级齿轮）」的设置：「从动齿数」默认 48；「主动齿数」默认 16；「更多级（可选，主动:从动，如 12:36）」可留空；「输入转速 rpm（可选）」可留空；「输入扭矩（可选，任意单位）」可留空。每次生成结果都按当前设置处理。Settings in the Gear Ratio Calculator (Speed, Torque, Gear Trains) — "Driven gear teeth" default 48; "Drive gear teeth" default 16; "Extra stages (optional, drive:driven, e.g. 12:36)" optional; "Input speed, rpm (optional)" optional; "Input torque (optional, any unit)" optional. 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?

「齿轮比计算器（转速、扭矩、多级齿轮）」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 Gear Ratio Calculator (Speed, Torque, Gear Trains) 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.

「齿轮比计算器（转速、扭矩、多级齿轮）」免费吗？需要注册吗？Is the Gear Ratio Calculator (Speed, Torque, Gear Trains) free? Do I need an account?

「齿轮比计算器（转速、扭矩、多级齿轮）」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 Gear Ratio Calculator (Speed, Torque, Gear Trains) is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.