The SI System of Measurement in Science
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The Metric System: America Measures Up. 1979 Edition. INSTITUTION Naval Education and Training Command, Washington, D.C
DOCONENT RESUME ED 191 707 031 '926 AUTHOR Andersonv.Glen: Gallagher, Paul TITLE The Metric System: America Measures Up. 1979 Edition. INSTITUTION Naval Education and Training Command, Washington, D.C. REPORT NO NAVEDTRA,.475-01-00-79 PUB CATE 1 79 NOTE 101p. .AVAILABLE FROM Superintendent of Documents, U.S. Government Printing .Office, Washington, DC 2040Z (Stock Number 0507-LP-4.75-0010; No prise quoted). E'DES PRICE MF01/PC05 Plus Postage. DESCRIPTORS Cartoons; Decimal Fractions: Mathematical Concepts; *Mathematic Education: Mathem'atics Instruction,: Mathematics Materials; *Measurement; *Metric System; Postsecondary Education; *Resource Materials; *Science Education; Student Attitudes: *Textbooks; Visual Aids' ABSTRACT This training manual is designed to introduce and assist naval personnel it the conversion from theEnglish system of measurement to the metric system of measurement. The bcokteliswhat the "move to metrics" is all,about, and details why the changeto the metric system is necessary. Individual chaPtersare devoted to how the metric system will affect the average person, how the five basic units of the system work, and additional informationon technical applications of metric measurement. The publication alsocontains conversion tables, a glcssary of metric system terms,andguides proper usage in spelling, punctuation, and pronunciation, of the language of the metric, system. (MP) ************************************.******i**************************** * Reproductions supplied by EDRS are the best thatcan be made * * from -
Metric System Units of Length
Math 0300 METRIC SYSTEM UNITS OF LENGTH Þ To convert units of length in the metric system of measurement The basic unit of length in the metric system is the meter. All units of length in the metric system are derived from the meter. The prefix “centi-“means one hundredth. 1 centimeter=1 one-hundredth of a meter kilo- = 1000 1 kilometer (km) = 1000 meters (m) hecto- = 100 1 hectometer (hm) = 100 m deca- = 10 1 decameter (dam) = 10 m 1 meter (m) = 1 m deci- = 0.1 1 decimeter (dm) = 0.1 m centi- = 0.01 1 centimeter (cm) = 0.01 m milli- = 0.001 1 millimeter (mm) = 0.001 m Conversion between units of length in the metric system involves moving the decimal point to the right or to the left. Listing the units in order from largest to smallest will indicate how many places to move the decimal point and in which direction. Example 1: To convert 4200 cm to meters, write the units in order from largest to smallest. km hm dam m dm cm mm Converting cm to m requires moving 4 2 . 0 0 2 positions to the left. Move the decimal point the same number of places and in the same direction (to the left). So 4200 cm = 42.00 m A metric measurement involving two units is customarily written in terms of one unit. Convert the smaller unit to the larger unit and then add. Example 2: To convert 8 km 32 m to kilometers First convert 32 m to kilometers. km hm dam m dm cm mm Converting m to km requires moving 0 . -
In Physical Chemistry
INTERNATIONAL UNION OF PURE AND APPLIED CHEMISTRY Physical and Biophysical Chemistry Division IUPAC Vc^llclllul LICb . U 111 Lb cillCl Oy 111 DOlo in Physical Chemistry Third Edition Prepared for publication by E. Richard Cohen Tomislav Cvitas Jeremy G. Frey BcTt.il Holmstrom Kozo Kuchitsu R,oberto Marquardt Ian Mills Franco Pavese Martin Quack Jiirgen Stohner Herbert L. Strauss Michio Takanii Anders J Thor The first and second editions were prepared for publication by Ian Mills Tomislav Cvitas Klaus Homann Nikola Kallay Kozo Kuchitsu IUPAC 2007 RSC Publishing CONTENTS v PREFACE ix HISTORICAL INTRODUCTION xi 1 PHYSICAL QUANTITIES AND UNITS 1 1.1 Physical quantities and quantity calculus 3 1.2 Base quantities and derived quantities 4 1.3 Symbols for physical quantities and units 5 1.3.1 General rules for symbols for quantities 5 1.3.2 General rules for symbols for units 5 1.4 Use of the words "extensive", "intensive", "specific", and "molar" 6 1.5 Products and quotients of physical quantities and units 7 1.6 The use of italic and Roman fonts for symbols in scientific publications 7 2 TABLES OF PHYSICAL QUANTITIES 11 2.1 Space and time 13 2.2 Classical mechanics 14 2.3 Electricity and magnetism 16 2.4 Quantum mechanics and quantum chemistry 18 2.4.1 Ab initio Hartree-Fock self-consistent field theory (ab initio SCF) 20 2.4.2 Hartree-Fock-Roothaan SCF theory, using molecular orbitals expanded as linear combinations of atomic-orbital basis . functions (LCAO-MO theory) . 21 2.5 Atoms and molecules 22 2.6 Spectroscopy 25 2.6.1 Symbols for angular -
Forestry Commission Booklet: Forest Mensuration Handbook
Forestry Commission ARCHIVE Forest Mensuration Handbook Forestry Commission Booklet 39 KEY TO PROCEDURES (weight) (weight) page 36 page 36 STANDING TIMBER STANDS SINGLE TREES Procedure 7 page 44 SALE INVENTORY PIECE-WORK THINNING Procedure 8 VALUATION PAYMENT CONTROL page 65 Procedure 9 Procedure 10 Procedure 11 page 81 page 108 page 114 N.B. See page 14 for further details Forestry Commission Booklet No. 39 FOREST MENSURATION HANDBOOK by G. J. Hamilton, m sc FORESTRY COMMISSION London: Her Majesty’s Stationery Office © Crown copyright 1975 First published 1975 Third impression 1988 ISBN 0 11 710023 4 ODC 5:(021) K eyw ords: Forestry, Mensuration ACKNOWLEDGEMENTS The production of the various tables and charts contained in this publication has been very much a team effort by members of the Mensuration Section of the Forestry Commission’s Research & Development Division. J. M. Christie has been largely responsible for initiating and co-ordinating the development and production of the tables and charts. A. C. Miller undertook most of the computer programming required to produce the tables and was responsible for establishing some formheight/top height and tariff number/top height relationships, and for development work in connection with assortment tables and the measurement of stacked timber. R. O. Hendrie prepared the single tree tariff charts and analysed various data concerning timber density, stacked timber, and bark. M. D. Witts established most of the form height/top height and tariff number/top height relationships and investigated bark thickness in the major conifers. Assistance in checking data was given by Miss D. Porchet, Mrs N. -
Guide for the Use of the International System of Units (SI)
Guide for the Use of the International System of Units (SI) m kg s cd SI mol K A NIST Special Publication 811 2008 Edition Ambler Thompson and Barry N. Taylor NIST Special Publication 811 2008 Edition Guide for the Use of the International System of Units (SI) Ambler Thompson Technology Services and Barry N. Taylor Physics Laboratory National Institute of Standards and Technology Gaithersburg, MD 20899 (Supersedes NIST Special Publication 811, 1995 Edition, April 1995) March 2008 U.S. Department of Commerce Carlos M. Gutierrez, Secretary National Institute of Standards and Technology James M. Turner, Acting Director National Institute of Standards and Technology Special Publication 811, 2008 Edition (Supersedes NIST Special Publication 811, April 1995 Edition) Natl. Inst. Stand. Technol. Spec. Publ. 811, 2008 Ed., 85 pages (March 2008; 2nd printing November 2008) CODEN: NSPUE3 Note on 2nd printing: This 2nd printing dated November 2008 of NIST SP811 corrects a number of minor typographical errors present in the 1st printing dated March 2008. Guide for the Use of the International System of Units (SI) Preface The International System of Units, universally abbreviated SI (from the French Le Système International d’Unités), is the modern metric system of measurement. Long the dominant measurement system used in science, the SI is becoming the dominant measurement system used in international commerce. The Omnibus Trade and Competitiveness Act of August 1988 [Public Law (PL) 100-418] changed the name of the National Bureau of Standards (NBS) to the National Institute of Standards and Technology (NIST) and gave to NIST the added task of helping U.S. -
How Are Units of Measurement Related to One Another?
UNIT 1 Measurement How are Units of Measurement Related to One Another? I often say that when you can measure what you are speaking about, and express it in numbers, you know something about it; but when you cannot express it in numbers, your knowledge is of a meager and unsatisfactory kind... Lord Kelvin (1824-1907), developer of the absolute scale of temperature measurement Engage: Is Your Locker Big Enough for Your Lunch and Your Galoshes? A. Construct a list of ten units of measurement. Explain the numeric relationship among any three of the ten units you have listed. Before Studying this Unit After Studying this Unit Unit 1 Page 1 Copyright © 2012 Montana Partners This project was largely funded by an ESEA, Title II Part B Mathematics and Science Partnership grant through the Montana Office of Public Instruction. High School Chemistry: An Inquiry Approach 1. Use the measuring instrument provided to you by your teacher to measure your locker (or other rectangular three-dimensional object, if assigned) in meters. Table 1: Locker Measurements Measurement (in meters) Uncertainty in Measurement (in meters) Width Height Depth (optional) Area of Locker Door or Volume of Locker Show Your Work! Pool class data as instructed by your teacher. Table 2: Class Data Group 1 Group 2 Group 3 Group 4 Group 5 Group 6 Width Height Depth Area of Locker Door or Volume of Locker Unit 1 Page 2 Copyright © 2012 Montana Partners This project was largely funded by an ESEA, Title II Part B Mathematics and Science Partnership grant through the Montana Office of Public Instruction. -
Measuring in Metric Units BEFORE Now WHY? You Used Metric Units
Measuring in Metric Units BEFORE Now WHY? You used metric units. You’ll measure and estimate So you can estimate the mass using metric units. of a bike, as in Ex. 20. Themetric system is a decimal system of measurement. The metric Word Watch system has units for length, mass, and capacity. metric system, p. 80 Length Themeter (m) is the basic unit of length in the metric system. length: meter, millimeter, centimeter, kilometer, Three other metric units of length are themillimeter (mm) , p. 80 centimeter (cm) , andkilometer (km) . mass: gram, milligram, kilogram, p. 81 You can use the following benchmarks to estimate length. capacity: liter, milliliter, kiloliter, p. 82 1 millimeter 1 centimeter 1 meter thickness of width of a large height of the a dime paper clip back of a chair 1 kilometer combined length of 9 football fields EXAMPLE 1 Using Metric Units of Length Estimate the length of the bandage by imagining paper clips laid next to it. Then measure the bandage with a metric ruler to check your estimate. 1 Estimate using paper clips. About 5 large paper clips fit next to the bandage, so it is about 5 centimeters long. ch O at ut! W 2 Measure using a ruler. A typical metric ruler allows you to measure Each centimeter is divided only to the nearest tenth of into tenths, so the bandage cm 12345 a centimeter. is 4.8 centimeters long. 80 Chapter 2 Decimal Operations Mass Mass is the amount of matter that an object has. The gram (g) is the basic metric unit of mass. -
Maße & Gewichte
Maße & Gewichte Die Geschichte der Maße und Gewichte Inhaltsverzeichnis 0.1 Geschichte der Maße und Gewichte .................................. 1 0.1.1 Überblick ........................................... 1 0.1.2 Längeneinheiten ....................................... 1 0.1.3 Gewichtseinheiten ...................................... 1 0.1.4 Beispiel der Vielfalt ..................................... 1 0.1.5 Einheiten für Zeit und Winkel ................................ 2 0.1.6 Angelsächsische Maßeinheiten ................................ 2 0.1.7 Das metrische System .................................... 3 0.1.8 Typografische Maßeinheiten ................................. 3 0.1.9 Listen von historischen Maßen und Gewichten ........................ 3 0.1.10 Gebräuchliche Masseeinheiten ................................ 4 0.1.11 Siehe auch .......................................... 4 0.1.12 Literatur ........................................... 4 0.1.13 Weblinks ........................................... 4 0.1.14 Einzelnachweise ....................................... 5 1 Die Anfänge des Messens in der Frühzeit des Menschen 6 1.1 Kognitive Archäologie ......................................... 6 1.1.1 Entstehung .......................................... 6 1.1.2 Kognitive Archäologie heute ................................. 6 1.1.3 Kognitive Archäologie im deutschsprachigen Raum ..................... 7 1.1.4 Kognitive Archäologie in der Diskussion ........................... 7 1.1.5 Literatur ........................................... 7 1.1.6 -
MEMS Metrology Metrology What Is a Measurement Measurable
Metrology • What is metrology? – It is the science of weights and measures • Refers primarily to the measurements of length, MEMS Metrology wetight, time, etc. • Mensuration- A branch of applied geometry – It measure the area and volume of solids from Dr. Bruce K. Gale lengths and angles Fundamentals of Micromachining • It also includes other engineering measurements for the establishment of a flat, plane reference surface What is a Measurement Measurable Parameters • A measurement is an act of assigning a • What do we want to • Pressure specific value to a physical variable measure? • Forces • The physical variable becomes the • Length or distance •Stress measured variable •Mass •Strain • Temperature • Measurements provide a basis for • Friction judgements about • Elemental composition • Resistance •Viscosity – Process information • Roughness • Diplacements or – Quality assurance •Depth distortions – Process control • Intensity •Time •etc. Components of a Measuring Measurement Systems and Tools System • Measurement systems are important tools for the quantification of the physical variable • Measurement systems extend the abilities of the human senses, while they can detect and recognize different degrees of physical variables • For scientific and engineering measurement, the selection of equipment, techniques and interpretation of the measured data are important How Important are Importance of Metrology Measurements? • In human relationships, things must be • Measurement is the language of science counted and measured • It helps us -
Homework 1: Exercise 1 Metric - English Conversion [Based on the Chauffe & Jefferies (2007)]
MAR 110 HW 1: Exercise 1 – Conversions p. 1 Homework 1: Exercise 1 Metric - English Conversion [based on the Chauffe & Jefferies (2007)] 1-1. THE METRIC SYSTEM The French developed the metric system during the 1790s. Unlike the "English" system, in which the difference between smaller and larger units is irregular and has no scientific foundation, the metric system is based on multiples of 10. Smaller and larger units can be obtained simply by moving the decimal point - that is multiplying or dividing by 10. For example, in the "English" system there are 12 inches to a foot (ft), but 3 ft to a yard, and 1760 yards in a mile. By contrast, in the metric system there are 10 m to a decameter (dm), 10 dm to a hectometer (hm), and 10 hm to a kilometer (km). The convenience and regularity of the metric system make it the standard system used in scientific research The basic units of the metric system are the meter for length, gram for mass (weight), liter for volume, and degree Celsius (OC) for temperature. These terms have been defined in terms of practical considerations. For example, one meter is equal to one ten millionth of the distance between the North Pole and the Equator. The gram is the mass of one cubic centimeter (or one millionth of a cubic meter) of water at a temperature of 4°C. The liter is the volume of a cubic decimeter (or one thousandth of a cubic meter). A degree Celsius is one-hundredth of the change in temperature between the freezing and boiling points of water. -
Laser Power Measurement: Time Is Money
Laser power measurement: Time is money SEAN BERGMAN Rapid, accurate laser power measurements meet high-throughput needs In nearly every any laser application, it’s necessary to measure laser output power to be able to obtain optimum results. For industrial applications, making power measurements often requires interrupting production and this creates a tradeoff. Specifically, is the cost of stopping or slowing production for laser measurement outweighed by the benefits that making the measurement will deliver? To make this determination, it’s useful to ask some specific questions. These include: How sensitive is my process to variations in laser power? How fast does my laser output typically change, and therefore, how frequently do I need make a laser measurement to keep my process within specification? [Native Advertisement] What is my production throughput? How much bad product will I make, and how much does this scrap cost me, when I delay making a laser measurement for a given amount of time? How long does it take to make the laser measurement, and what is the total cost of this measurement in terms of production downtime or manpower? For high-speed industrial processes based on high-power lasers, the answers to these questions often show that it is not possible to achieve a good tradeoff between measurement frequency and cost. This is because traditional thermopile laser power sensors are relatively slow, so making frequent measurements results in high production downtime. Alternatively, making infrequent measurements can result in high scrap rates. Thermopile power sensors Although they are relatively slow, thermopiles have long been used for measuring high-power lasers because high-speed photodiode detectors saturate at low power levels. -
3.1 Dimensional Analysis
3.1 DIMENSIONAL ANALYSIS Introduction (For the Teacher).............................................................................................1 Answers to Activities 3.1.1-3.1.7........................................................................................8 3.1.1 Using appropriate unit measures..................................................................................9 3.1.2 Understanding Fundamental Quantities....................................................................14 3.1.3 Understanding unit definitions (SI vs Non-sI Units)................................................17 3.1.4 Discovering Key Relationships Using Fundamental Units (Equations)...................20 3.1.5 Using Dimensional Analysis for Standardizing Units...............................................24 3.1.6 Simplifying Calculations: The Line Method.............................................................26 3.1.7 Solving Problems with Dimensional Analysis ..........................................................29 INTRODUCTION (FOR THE TEACHER) Many teachers tell their students to solve “word problems” by “thinking logically” and checking their answers to see if they “look reasonable”. Although such advice sounds good, it doesn’t translate into good problem solving. What does it mean to “think logically?” How many people ever get an intuitive feel for a coluomb , joule, volt or ampere? How can any student confidently solve problems and evaluate solutions intuitively when the problems involve abstract concepts such as moles, calories,