💪 功与功率Work and Power Calculator

使用说明与常见问题How-to & FAQ

「功与功率」是什么？What is the Work and Power Calculator tool?

功 W = F × d × cos θ（焦耳），功率 P = W ÷ t（瓦特），并换算为马力。本地处理。可设置「力 N」、「位移 m」、「力与位移夹角 °」、「时间 s」。Work W = F × d × cos θ (joules) and power P = W ÷ t (watts), also in horsepower. Processed locally. Settings: Force N, Displacement m, Angle between force and motion °, Time s.

如何使用「功与功率」？How do I use the Work and Power Calculator tool?

填写力、位移、力与位移的夹角和时间，即可得到功 W = F × d × cosθ（焦耳）和功率 P = W ÷ t（瓦，同时换算成马力）。结果会随输入实时更新。Enter the force, displacement, the angle between force and motion and the time to get the work W = F × d × cosθ in joules and the power P = W ÷ t in watts, also in horsepower. The result updates as you type.

负功？Negative work?

力与运动方向相反（夹角 > 90°）时做负功，例如摩擦力。When the force opposes motion (angle > 90°) the work is negative, like friction.

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

例如在「功与功率」中填 力 N = 50，位移 m = 10，力与位移夹角 ° = 0，时间 s = 5，结果区显示：功 W：500 J；功率 P：100 W；马力：0.1341 hpFor example, entering Force N = 50, Displacement m = 10, Angle between force and motion ° = 0, Time s = 5 in the Work and Power Calculator gives: Work W: 500 J; Power P: 100 W; Horsepower: 0.1341 hp

哪些输入会被检查？Which inputs are validated?

「功与功率」会检查这些输入——「力 N」：必须填写，须为整数；「位移 m」：可留空；「力与位移夹角 °」：必须填写；「时间 s」：必须填写，须大于 0；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 Work and Power Calculator checks its inputs — "Force N": required, must be a whole number; "Displacement m": optional; "Angle between force and motion °": required; "Time s": required, must be greater than 0; 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?

「功与功率」的设置：「力 N」默认 50；「位移 m」默认 10；「力与位移夹角 °」默认 0；「时间 s」默认 5。每次生成结果都按当前设置处理。Settings in the Work and Power Calculator — "Force N" default 50; "Displacement m" default 10; "Angle between force and motion °" default 0; "Time s" default 5. 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?

「功与功率」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 Work and Power 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.

「功与功率」免费吗？需要注册吗？Is the Work and Power Calculator free? Do I need an account?

「功与功率」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 Work and Power 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.