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物理代写|固体力学代写Solid Mechanics代考|MAE541 Units, prefixes and engineering notation

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物理代写|固体力学代写Solid Mechanics代考|Units, prefixes and engineering notation

Of considerable importance in engineering is knowledge of units of engineering quantities, the prefixes used with units, and engineering notation.
We need to know, for example, that
$80 \mathrm{kN}=80 \times 10^{3} \mathrm{~N}$ which means 80,000 newtons $25 \mathrm{~mJ}=25 \times 10^{-3} \mathrm{~J}$ which means $0.025$ joules $50 \mathrm{nF}=50 \times 10^{-9} \mathrm{~F}$ which means $0.000000050$ farads This is explained in this chapter.

The system of units used in engineering and science is the Système Internationale d’Unités (International system of units) usually abbreviated to SI units, and is based on the metric system. This was introduced in 1960 and is now adopted by the majority of countries as the official system of measurement.

The basic seven units used in the SI system are listed below with their symbols.

There are, of course, many other units than the seven shown below. These other units are called derived units and are defined in terms of the standard units listed below.

物理代写|固体力学代写Solid Mechanics代考|Common prefixes

SI units may be made larger or smaller by using prefixes which denote multiplication or division by a particular amount.

Here are some examples of prefixes used with engineering units.

A frequency of $15 \mathbf{G H z}$ means $15 \times 10^{9} \mathrm{~Hz}$, which is $15,000,000,000$ hertz, * i.e. 15 gigahertz is written as 15 $\mathrm{GHz}$ and is equal to 15 thousand million hertz. Instead of writing $15,000,000,000$ hertz, it is much neater, takes up less space and prevents errors caused by having so many zeros, to write the frequency as $15 \mathrm{GHz}$.

A voltage of 40 MV means $40 \times 10^{6} \mathrm{~V}$, which is $40,000,000$ volts, i.e. 40 megavolts is written as $40 \mathrm{MV}$ and is equal to 40 million volts.

Energy of $12 \mathrm{~mJ}$ means $12 \times 10^{-3} \mathrm{~J}$ or $\frac{12}{10^{3}} \mathrm{~J}$ or $\frac{12}{1000} \mathrm{~J}$, which is $0.012 \mathrm{~J}$, i.e. 12 millijoules is written as $12 \mathrm{~mJ}$ and is equal to 12 thousandths of a joule. ${ }^{\dagger}$

A time of $150 \mathrm{~ns}$ means $150 \times 10^{-9} \mathrm{~S}$ or $\frac{150}{10^{9}} \mathrm{~S}$, which is $0.000000150$ s, i.e. 150 nanoseconds is written as 150 ns and is equal to 150 thousand millionths of a second. A force of $20 \mathbf{k N}$ means $20 \times 10^{3} \mathrm{~N}$, which is 20,000 Newtons, i.e. 20 kilonewtons is written as $20 \mathrm{kN}$ and is equal to 20 thousand Newtons.

物理代写|固体力学代写SOLID MECHANICS代考|UNITS, PREFIXES AND ENGINEERING NOTATION

$80 \mathrm{kN}=80 \times 10^{3} \mathrm{~N}$ 这意味着 80,000 牛顿 $25 \mathrm{~mJ}=25 \times 10^{-3} \mathrm{~J}$ 意思是 $0.025$ 焦耳 $50 \mathrm{nF}=50 \times 10^{-9} \mathrm{~F}$ 意思是 $0.000000050$ 法拉这将在本章中解释。

物理代写|固体力学代写SOLID MECHANICS代考|COMMON PREFIXES

SI 单位可以通过使用表示乘以或除以特定数量的前叕来变大或变小。

$40 \mathrm{MV}$ 的电压意味着 $40 \times 10^{6} \mathrm{~V}$ ，即 $40,000,000$ 伏特，即 40 兆伏特写为 $40 \mathrm{MV}$ 等于 4000 万伏特。

Matlab代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。