inst06.1

# inst06.1 - Class 6.1 Units Dimensions Objectives Know the...

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Class 6.1 Units Dimensions

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Objectives Know the difference between units and  dimensions Understand the SI, USCS, and AES  systems of units Know the SI prefixes from nano- to giga- Understand and apply the concept of  dimensional homogeneity
Objectives What is the difference between an  absolute and a gravitational system of  units? What is a coherent system of units?  Apply dimensional homogeneity to  constants and equations.

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Reality Check. .. Are units really  important? Is checking your  work  and your  team’s  work really  important? Mars Lander (ABC news) Mars Lander (NASA)
Why are units important? Without specifying them, your numbers are meaningless Units tell people the “language” of your engineering calculations

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Definitions Dimension  – abstract quantity (e.g. length) Unit  – a specific definition of a dimension based upon a  physical reference (e.g. meter) System of units  – is described by :     - a set of fundamental dimensions from which all other  dimensions may derived     - a set of base units International System (SI), American Engineering System  (AES), and U.S. Customary System (USCS)
The International System of Units (SI) Fundamental Dimension Base Unit length [ L ] mass [ M ] time [ T ] electric current [ A ] absolute temperature [ θ ] luminous intensity [ l ] amount of substance [ n ] meter (m) kilogram (kg) second (s) ampere (A) kelvin (K) candela (cd) mole (mol)

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The International System of Units (SI) Supplementary Dimension Base Unit plane angle solid angle radian (rad) steradian (sr)
Length or “the length of the path traveled Distance: by light in vacuum during a time (meter) interval of 1/299792458 of a second.” Fundamental Units (SI) Laser 1 meter 1/299792458 s photon

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Fundamental Units (SI) Mass: “a cylinder of platinum-iridium (kilogram) alloy maintained under vacuum conditions by the International Bureau of Weights and Measures in Paris”
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inst06.1 - Class 6.1 Units Dimensions Objectives Know the...

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