📚 Year 11 Edexcel Engineering: Quick Reference Formula & Theorem Handbook | Edexcel 11 年级工程:公式定理速查手册
This quick reference handbook brings together the essential formulas, theorems and constants that Year 11 Edexcel Engineering students need for revision. It covers motion, forces, energy, materials, electricity, thermal physics and mechanical systems. Every equation is paired with its meaning and SI units so that you can apply it accurately in calculations and exam questions.
这本速查手册汇集了 Edexcel 11 年级工程学生在复习中必需的核心公式、定理和常数,涵盖运动、力、能量、材料、电学、热学和机械系统。每个方程都配有含义和国际单位制说明,帮助你在计算与考试题中准确应用。
1. Motion and Kinematics | 运动学
Motion is described using displacement, velocity, acceleration and time. The equations in this section apply only when acceleration is constant, which is a common assumption in engineering mechanics problems.
运动用位移、速度、加速度和时间来描述。本节方程仅适用于加速度恒定的情况,这是工程力学题中常见的假设。
The final velocity v equals initial velocity u plus acceleration a multiplied by time t. It is used when three of the four quantities are known.
末速度 v 等于初速度 u 加上加速度 a 乘以时间 t。当四个量中已知三个时,可用此式求第四个。
v = u + at
Displacement s is calculated from initial velocity, acceleration and time. Displacement is a vector quantity measured in metres (m).
位移 s 由初速度、加速度和时间计算。位移是矢量,单位为米(m)。
s = ut + ½at²
elocity, initial velocity, acceleration and displacement without involving time. It is useful when time is not given.
方程 v² = u² + 2as 联系末速度、初速度、加速度和位移,不涉及时间。当题目未给出时间时非常有用。
v² = u² + 2as
Average velocity is total distance divided by total time. For uniformly accelerated motion, it also equals (u + v) / 2.
平均速度等于总路程除以总时间。对于匀加速运动,它也等于 (u + v) / 2。
v̄ = total distance / total time = (u + v) / 2
When acceleration is uniform, displacement can also be found from average velocity multiplied by time.
当加速度均匀时,位移也可由平均速度乘以时间求得。
s = ((u + v) / 2) × t
2. Forces and Newton's Laws | 力与牛顿定律
Forces change the motion or shape of an object. Newton's laws explain how resultant force, mass and acceleration are related, and they form the basis of most engineering dynamics questions.
力会改变物体的运动状态或形状。牛顿定律解释了合力、质量与加速度之间的关系,是大多数工程动力学题的基础。
Newton's Second Law states that the net force F on an object equals its mass m multiplied by its acceleration a. Force is measured in newtons (N).
牛顿第二定律指出,作用在物体上的净力 F 等于物体质量 m 乘以其加速度 a。力的单位为牛顿(N)。
F = ma
Weight is the gravitational force on a mass. It is calculated from mass m and gravitational field strength g, where g is about 9.81 m/s² on Earth.
重力是作用在质量上的引力。它由质量 m 和重力场强度 g 计算,地球表面 g 约为 9.81 m/s²。
W = mg
Friction force can be estimated using the coefficient of friction μ and the normal contact force N. This is useful for sliding and braking problems.
摩擦力可用摩擦系数 μ 和法向接触力 N 估算。这对滑动和制动问题很有用。
F = μN
Newton's Third Law states that if object A exerts a force on object B, then B exerts an equal and opposite force on A.
牛顿第三定律指出,如果物体 A 对物体 B 施加一个力,那么 B 也会对 A 施加一个大小相等、方向相反的力。
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