Year 11 CCEA Engineering: Formula & Theorem Quick Reference Handbook | Year 11 CCEA 工程：公式定理速查手册

📚 Year 11 CCEA Engineering: Formula & Theorem Quick Reference Handbook | Year 11 CCEA 工程：公式定理速查手册

This quick reference handbook brings together the essential formulas and theorems you will encounter in the Year 11 CCEA Engineering course. It covers mechanics, materials, electronics, and thermal physics, with clear definitions and units. Use it as a revision aid to ensure you can recall and apply each relationship accurately.

本速查手册汇集了 Year 11 CCEA 工程课程中必备的核心公式与定理，涵盖力学、材料、电子学和热物理，附带明确的定义与单位。可用作复习辅助工具，帮助你准确回忆并应用每一个关系式。

---

1. Forces and Newton's Laws | 力与牛顿定律

Newton's laws form the backbone of engineering mechanics. The second law provides a quantitative link between force, mass, and acceleration. Weight is a special case of force caused by gravity.

牛顿定律是工程力学的基石。第二定律定量地给出了力、质量与加速度之间的联系。重量是重力引起的一种特殊的力。

F = m × a

Newton's second law: resultant force (F) in newtons (N) equals mass (m) in kilograms (kg) multiplied by acceleration (a) in metres per second squared (m/s²).

牛顿第二定律：合力 (F) 单位为牛顿 (N) 等于质量 (m) 单位为千克 (kg) 乘以加速度 (a) 单位为米每二次方秒 (m/s²)。

W = m × g

ional field strength (g). On Earth, g ≈ 9.8 m/s², often rounded to 10 m/s² for estimation.

重量 (W) 是重力：W = 质量 × 重力场强度 (g)。在地球上，g 约为 9.8 m/s²，估算时常取 10 m/s²。

---

2. Motion – Speed, Velocity and Acceleration | 运动 – 速度、速率和加速度

Understanding linear motion is vital for analysing mechanisms and vehicles. These equations apply when acceleration is uniform.

理解直线运动对于分析机构和车辆至关重要。以下方程适用于匀加速运动。

v = s / t

Average speed (v) equals total distance (s) divided by time (t). For constant velocity, this gives instantaneous speed.

平均速率 (v) 等于总路程 (s) 除以时间 (t)。匀速时，此式也给出瞬时速率。

a = (v – u) / t

Acceleration (a) is the rate of change of velocity: a = (final velocity v – initial velocity u) / time taken t, in m/s².

加速度 (a) 是速度的变化率：a = (末速度 v – 初速度 u) / 所用时间 t，单位为 m/s²。

v = u + a t

First equation of motion: final velocity equals initial velocity plus acceleration × time.

运动学第一方程：末速度等于初速度加上加速度乘以时间。

s = u t + ½ a t²

Second equation: displacement (s) when starting with initial velocity u and uniform acceleration a.

第二方程：以初速度 u 开始并做匀加速运动时的位移 (s)。

v² = u² + 2 a s

Third equation: links velocities and displacement without involving time directly.

第三方程：将速度与位移联系起来而不直接涉及时间。

---

广告 / Sponsored

3. Moments and Equilibrium | 力矩与平衡

A moment is the turning effect of a force. Equilibrium occurs when the total clockwise moment equals the total anticlockwise moment about a pivot.

力矩是力的转动效应。当绕支点的总顺时针力矩等于总逆时针力矩时，物体处于平衡状态。

M = F × d

force (F) × perpendicular distance (d) from the pivot to the line of action of the force.

力矩 (M) 单位为牛·米 (N m) = 力 (F) × 从支点到力作用线的垂直距离 (d)。

Σ M_clockwise = Σ M_{anticlockwise}

Principle of moments: for a system in rotational equilibrium, the sum of clockwise moments equals the sum of anticlockwise moments.

力矩原理：对于处于转动平衡的系统，顺时针力矩之和等于逆时针力矩之和。

---

4. Work, Energy and Power | 功、能量与功率

Work is done when a force moves an object. Energy exists in different forms, and power measures the rate of energy transfer.

力移动物体时做功。能量以不同形式存在，功率衡量能量转换的快慢。

W = F × d

ork done (W) in joules (J) = force (F) × distance moved in the direction of the force (d).

做功 (W) 单位为焦耳 (J) = 力 (F) × 沿力方向移动的距离 (d)。

E_p = m g h

Gravitational potential energy: E_p = mass × gravitational field strength × height.

重力势能：E_p = 质量 × 重力场强度 ×

Published by TutorHao | Year 11 工程 Revision Series | aleveler.com

更多咨询请联系16621398022（同微信）