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cathrine_-muchemwa / ENGGEN 140

June 05, 2025 03:41
Cheat Sheet
ENGGEN 140
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ENGGEN 140

A concise cheat sheet for ENGGEN 140, covering essential concepts, formulas, and definitions from the coursebook.

Fundamentals

Units and Dimensions

Base Units (SI)
Quantity Unit Symbol
Length meter m
Mass kilogram kg
Time second s
Temperature Kelvin K
Current Ampere A
Amount of substance mole mol
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Derived Units

Area: m^2
Volume: m^3
Density: kg/m^3
Velocity: m/s
Acceleration: m/s^2
Force: Newton (N) = kg cdot m/s^2
Pressure: Pascal (Pa) = N/m^2
Energy: Joule (J) = N cdot m
Power: Watt (W) = J/s

Unit Conversion

Use conversion factors to change units.

Example:
Convert 10 km to meters:
10 \text{ km} imes \frac{1000 \text{ m}}{1 \text{ km}} = 10000 \text{ m}

Dimensional Homogeneity

Equations must be dimensionally consistent. Check that the dimensions on both sides of an equation are the same.

Significant Figures

Rules for determining significant figures in calculations. Pay attention to rounding rules.

Uncertainty

Express results with appropriate uncertainty. Report values as (value \pm uncertainty) unit.

Basic Statistics

Mean (Average)

Median

Standard Deviation

Variance

Probability

Error Analysis

Problem Solving

Problem-Solving Steps:

  1. Understand: Read the problem carefully.
  2. Plan: Devise a plan to solve the problem.
  3. Carry Out: Execute the plan.
  4. Look Back: Review the solution and method.

Modeling Assumptions:
Identify and state any assumptions made in the problem.

Example:
Neglecting air resistance in projectile motion problems.

Estimation:
Develop reasonable estimates for unknown quantities.

Example:
Estimating the height of a building.

Approximations:
Using approximations to simplify the problem.

Example:
Small angle approximation: \sin(\theta) \approx \theta for small \theta.

Verification and Validation:
Ensure the solution is correct and makes sense.

Iterative Methods:
Use iterative methods to find solutions when closed-form solutions are unavailable.

Engineering Applications

Mechanics

Force Equilibrium

Stress

Strain

Young’s Modulus

Hooke’s Law

Kinematics

Thermodynamics

First Law of Thermodynamics

Heat Transfer

Conduction

Convection

Radiation

Ideal Gas Law

Circuits

Ohm’s Law

Power

Series Resistance

Parallel Resistance

Kirchhoff’s Current Law (KCL)

Kirchhoff’s Voltage Law (KVL)