Year 13 Edexcel Engineering: Formula & Theorem Quick Reference Guide | Year 13 Edexcel 工程：公式定理速查手册

📚 Year 13 Edexcel Engineering: Formula & Theorem Quick Reference Guide | Year 13 Edexcel 工程：公式定理速查手册

This quick reference handbook compiles essential formulas and theorems for the Year 13 Edexcel Engineering course. Use it to rapidly recall key relationships in mechanics, materials, thermodynamics, electronics and digital logic. Ideal for revision and exam preparation.

本速查手册汇集了 Year 13 Edexcel 工程课程的核心公式与定理。可用于快速回顾力学、材料、热力学、电子学和数字逻辑中的关键关系，是复习备考的理想参考。

1. Kinematics and Dynamics | 运动学与动力学

v = u + at

Final velocity under constant acceleration. u: initial velocity, a: acceleration, t: time.

恒定加速度下的最终速度方程。u：初速度，a：加速度，t：时间。

s = ut + ½at²

Displacement during uniform acceleration from initial velocity u.

从初速度 u 开始的匀加速度位移方程。

v² = u² + 2as

Relates final velocity squared to initial velocity squared, acceleration and displacement.

将末速度的平方与初速度的平方、加速度及位移联系起来。

F = ma

Newton’s second law: net force equals mass times acceleration.

牛顿第二定律：合力等于质量乘以加速度。

p = mv

Linear momentum is the product of mass and velocity.

线性动量是质量与速度的乘积。

Impulse = FΔt = Δp

Impulse equals change in momentum; also force × time interval.

冲量等于动量的变化，也等于力 × 时间间隔。

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2. Work, Energy and Power | 功、能量与功率

W = Fs cos θ

Work done by a constant force F over displacement s at angle θ.

恒定力 F 在位移 s 上做的功，θ 为力与位移的夹角。

Eₖ = ½mv²

Kinetic energy of a moving body.

运动物体的动能。

Eₚ = mgh

Gravitational potential energy near Earth’s surface.

近地表的重力势能。

P = W/t = Fv

Power: rate of doing work; also force × velocity for constant speed.

功率：做功的速率；对于恒定速度还可表示为力 × 速度。

η = useful output / total input

Efficiency of an energy conversion system.

能量转换系统的效率。

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3. Circular Motion and Rotational Dynamics | 圆周运动与转动动力学

a = v²/r = ω²r

Centripetal acceleration towards the centre of rotation.

指向旋转中心的向心加速度。

F = mv²/r = mω²r

Centripetal force required for circular motion.

维持圆周运动所需的向心力。

ω = θ/t = 2πf

Angular velocity in radians per second.

角速度，单位为弧度每秒。

v = ωr

Linear velocity related to angular velocity for circular motion.

圆周运动中线速度与角速度的关系。

I = Σmr²

Moment of inertia for a system of point masses.

质点系的转动惯量。

Eₖ = ½Iω²

Rotational kinetic energy of a rigid body.

刚体的转动动能。

τ = Iα

Rotational analogue of Newton’s second law: torque = moment of inertia × angular acceleration.

牛顿第二定律的转动形式：扭矩 = 转动惯量 × 角加速度。

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4. Stress, Strain and Young’s Modulus | 应力、应变与杨氏模量

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