inst06.1 - Class 6.1 Units & Dimensions Objectives Know...

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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
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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)
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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)
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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)
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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...

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