A Chronology of the Metric System
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
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 . -
Varying Constants, Gravitation and Cosmology
Varying constants, Gravitation and Cosmology Jean-Philippe Uzan Institut d’Astrophysique de Paris, UMR-7095 du CNRS, Universit´ePierre et Marie Curie, 98 bis bd Arago, 75014 Paris (France) and Department of Mathematics and Applied Mathematics, Cape Town University, Rondebosch 7701 (South Africa) and National Institute for Theoretical Physics (NITheP), Stellenbosch 7600 (South Africa). email: [email protected] http//www2.iap.fr/users/uzan/ September 29, 2010 Abstract Fundamental constants are a cornerstone of our physical laws. Any constant varying in space and/or time would reflect the existence of an almost massless field that couples to mat- ter. This will induce a violation of the universality of free fall. It is thus of utmost importance for our understanding of gravity and of the domain of validity of general relativity to test for their constancy. We thus detail the relations between the constants, the tests of the local posi- tion invariance and of the universality of free fall. We then review the main experimental and observational constraints that have been obtained from atomic clocks, the Oklo phenomenon, Solar system observations, meteorites dating, quasar absorption spectra, stellar physics, pul- sar timing, the cosmic microwave background and big bang nucleosynthesis. At each step we arXiv:1009.5514v1 [astro-ph.CO] 28 Sep 2010 describe the basics of each system, its dependence with respect to the constants, the known systematic effects and the most recent constraints that have been obtained. We then describe the main theoretical frameworks in which the low-energy constants may actually be varying and we focus on the unification mechanisms and the relations between the variation of differ- ent constants. -
GNBS International System of Units Booklet
I Table of INTRODUCTION CONTENTS The purpose of this booklet Learn About... 3 is to enable Guyanese to become familiar with • Guyana National Bureau 3 the metric system and, in of Standards (GNBS). particular, the International System of Units or SI Units. With most of the world We Look to the Future using the metric system of 5 measurements, these SI • Why do we need 5 units are now an intrinsic Measurement Standards? part of our lives. • The Role of Measurements 6 The meat, flour, fruit and in our Daily Lives. vegetables we buy; the pills, tablets and capsules doctors prescribe; the distances vehicles cover and boats Learn More On... 7 sail and athletes run, as • What is the SI? 7 well as fabric bought for our garments to be made • Why use the SI? 8 from are all weighed and measured using SI units. Given this trend, Guyana Learn the Units 9 must fully embrace metric • What are the SI Units? 9 measurements. Thus, this booklet intends to promote • The Basics of the Metric 11 a culture in which Guyanese System in use everyday. not only “think metric” but also actively use the SI units - The Kilogram 11 in their everyday lives. II III - The Kilometre 13 Guyana National - The Litre 15 Bureau of learn Standards Using the Basic Units 17 about... • Converting between Units 17 (GNBS) • Temperature 18 The Guyana National Bureau of Standards (GNBS) operates under • Writing Dates 19 the Ministry of Tourism, Industry and commerce as a semi - • Writing Times 19 -autonomous governmental organization responsible for standards and quality in Guyana. -
Misura E Strumenti Di Misura
® MISURA E STRUMENTI DI MISURA (G) MISURA: g = G : grandezza (numero) U(G) U(G) : unita' di misura di G Come si effettua la misura ? diretta MISURA indiretta confronto diretto con unita' di misura DIRETTA: (Grandezze omogenee) con strumento "tarato" es. : termometro, voltmetro ... INDIRETTA: dalla relazione fisica con altre grandezze es. : P = F/S STRUMENTO DI MISURA: dispositivo per determinare g 30 RIVELATORE: sensibile a grandezza da misurare (sollecitazione) TRASDUTTORE: trasforma sollecitazione STRUMENTO in grandezza facilmente misurabile VISUALIZZATORE: visualizza grandezza trasformata RIVELATORE: Mercurio Es. TERMOMETRO TRASDUTTORE: Mercurio + capillare VISUALIZZATORE: capillare + scala tarata RIVELATORE: bobina mobile in campo magnetico Es. AMPEROMETRO TRASDUTTORE: movimento bobina (rotazione ago) VISUALIZZATORE: posizione ago su scala "tarata" 31 CARATTERISTICHE STRUMENTO INTERVALLO FUNZ. (valore min-max grandezza) PRONTEZZA: tempo necessario per reagire alla sollecitazione τ τ = tempo caratteristico strumento τ (termometro) ~ secondi τ (oscilloscopio) ~ 10 -9 s SENSIBILITA`: ∆R(G) dR R(G): risposta S = = ∆V(G) dV V(G): valore grandezza se R lineare in V(G): S = cost. Altrimenti S funzione di V(G) (Ohmetro) Dimensioni : [G] -1 Es. Bilancia: S in DIV/mg 32 PRECISIONE: capacita' strumento a dare stessa risposta a stessa sollecitazione MISURE RIPETUTE (sensibilit : 1/∆g) N N g(G) g(G) ∆g GIUSTEZZA: assenza di effetti sistematici Difetto strumento (termometro: capillare a sezione variabile) Uso strumento in condizioni errate (regolo -
The Revised SI for the Kilogram
Out with the Old, in with the New: The Revised SI for the kilogram Aletta Karsten, Thapelo Mametja and Henk Potgieter [email protected] Outline • Background (SI and Revised SI) • What is SI units? • Why change? • How? • When? • South African perspective • Si sphere • Kibble Balance What is a SI unit? • The SI is defined by the SI Brochure, which is published by the BIPM. • The recommended practical system of units of measurement is the International System of Units (Système International d'Unités, with international abbreviation SI). • This SI consists of a set of base units, prefixes and derived units. • The SI is not static but evolves to match the world's increasingly demanding requirements for measurement. History of SI • First milestone • Creation of the decimal metric system at the time of the French Revolution • Deposition of two platinum standards representing the metre and the kilogram, on 22 June 1799, in the Archives de la République in Paris • Signing of the Metre Convention on 20 May 1875 • Created the BIPM and established the CGPM and the CIPM • Work began on the construction of new international prototypes of the metre and kilogram. • In 1889 the 1st CGPM sanctioned the international prototypes for the metre and the kilogram. • Together with the astronomical second as the unit of time, these units constituted a three-dimensional mechanical unit system similar to the CGS system, but with the base units metre, kilogram, and second, the MKS system. Changes in measurement standards (not new) Mass Redefinition of SI • Link to fundamental constants of nature • More accurate over time 1889 https://www.bipm.org/en/measurement-units/rev-si/ Which units will be redefined? Why? • The revision of the SI will ensure that the SI continues to meet the needs of science, technology, and commerce in the 21st century. -
Weights and Measures Standards of the United States: a Brief History
1 .0 11 8 1.25 1.4 I 6_ DOCUMENT RESUME ED 142 418 SE 022 719 AUTHOE Judson, Lewis V. TITLE Weights and Measures Standards of the United States: A Brief History. Updated Edition. INSTITUTION National Bureau of Standards (DOC) ,Washington, D.C. REPORT NO NBS-SP-447 PUB DATE Mar 76 NOTE 42p.; Contains occasional small print; Photographs may not reproduce well AVAILABLE FROM Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 20402 (Stock Number 003-0O3-01654-3, $1.00) EDRS PRICE MF-$0.83 HC-$2.06 Plus Postage. DESCRIPTORS Government Publications; History; *Mathematics Education; *Measurement; *Metric System; *Science History; *Standards ABSTRACT This document was published by the National Bureau of Standards to meet the current demand for information on the history of weights and measures in the United States. It includes an illustrated discussion of this history through 1962 followed by an addendum covering the period 1963-1975. Appendices provide a bibliography and photographic copies of eight documents important to the development of official standards of measurement. (SD) *********************************************************************** Documents acquired by ERIC include many informal unpublished * materials not available from other sources. ERIC makes every effort * * -to obtain the best copy available. Nevertheless, items of marginal * * reproducibility are often encountered and this affects the quality * * of the microfiche and hardcopy reproductions ERIC makes available * via the ERIC Document Reproduction Service (EDRS). EDRS is not * responsible for the quality of the original document. Reproductions * * supplied by EDRS are the best that can be made from the original. *********************************************************************** U.S. DEPARTMENT OF HEALTH. -
Gravity and Coulomb's
Gravity operates by the inverse square law (source Hyperphysics) A main objective in this lesson is that you understand the basic notion of “inverse square” relationships. There are a small number (perhaps less than 25) general paradigms of nature that if you make them part of your basic view of nature they will help you greatly in your understanding of how nature operates. Gravity is the weakest of the four fundamental forces, yet it is the dominant force in the universe for shaping the large-scale structure of galaxies, stars, etc. The gravitational force between two masses m1 and m2 is given by the relationship: This is often called the "universal law of gravitation" and G the universal gravitation constant. It is an example of an inverse square law force. The force is always attractive and acts along the line joining the centers of mass of the two masses. The forces on the two masses are equal in size but opposite in direction, obeying Newton's third law. You should notice that the universal gravitational constant is REALLY small so gravity is considered a very weak force. The gravity force has the same form as Coulomb's law for the forces between electric charges, i.e., it is an inverse square law force which depends upon the product of the two interacting sources. This led Einstein to start with the electromagnetic force and gravity as the first attempt to demonstrate the unification of the fundamental forces. It turns out that this was the wrong place to start, and that gravity will be the last of the forces to unify with the other three forces. -
A History of the National Bureau of Standards
APPENDIX A FERDINAND RUDOLPH HASSLER First Superintendent of the Coast Survey and of Weights and Measures When Professor Stratton arrived at the Office of Weights and Measures on B Street in Washington in the spring of 1898 to survey its equipment and operations, he found there in the person of Louis A. Fischer, the adjuster, a link with Ferdinand Rudolph Hassler, the first Superintendent of Weights and Measures in the Federal Government. It was in the atmosphere of the office over which Hassler had presided, Stratton said, with its sacred traditions concerning standards, its unsurpassed instrument shop, its world-known experts in the construction and comparison of standards, and especially in the most precise measurement of length and mass, that the boy Fischer, scarcely over 16, found himself when he entered the employ of Govern- ment in a minor capacity [about the year 18801. * * Scarcely 40 years had passed since the end of Hassler's services and the beginning of Fischer's. His first instructors were the direct disciples of Hassler and he knew and talked with those who had come in personal contact with the first superintendent.1 Fischer's reminiscences concerning the early historyof the Weights and Measures office, gathered from his association with the successors of Hassler, were never recorded, to Stratton's regret, and the only biography of Hassler, by Florian Cajori, professor of mathematics at the University of California, centers on his career in the Coast Survey gathered from his association with the successors of Hassler, were never recorded, to in the history of science in the Federal Government, is the principal source of the present sketch.2 1 Stratton, "Address Memorializing Louis Albert Fischer, 1864.—1921," 15th Annual Con. -
The International Bureau of Weights and Measures 1875-1975
The International Bureau of Weights and Measures 1875-1975 U.S. DEPARTMENT OF COMMERCE National Bureau of Standards ""EAU of NBS SPECIAL PUBLICATION 420 Aerial view of the Pavilion de Breteuil and the immediate environs. To the east, the Seine and the Pont de Sevres; to the northwest, the Pare de Saint-Cloud: between the Pavilion de Breteuil (circled) and the bridge: the Manufacture Nationale de Porcelaine de Sevres. The new laboratories (1964) are situated north of the circle and are scarcely visible; they were built in a way to preserve the countryside. (Document Institute (leographique National, Paris). Medal commeiiKiraUn-i the centennial (if the Convention cif tlie Metre and the International Bureau of Weights and Measures. (Desifined by R. Corbin. Monnaie de Paris) The International Bureau of Weights and Measures 1875-1975 Edited by Chester H. Page National Bureau of Standards, U.S.A. and Pan I Vigoiireiix National Physieal Laboratory, U.K. Translation of tlie BIPM Centennial Volume Piibli>lieH on the ocrasioii <>( the lOOth Aniiiver^ai y ol tlie Treaty of tlie Metre May 20, 1975 U.S. DEPARTMENT OF COMMERCE NATIONAL BUREAU OF STANDARDS, Richard W. Roberts, Direcior Issued May 1 975 National Bureau of Standards Special Publication 420 Nat. Bur. Stand. (U.S.), Spec. Publ. 420. 256 pages (May 1975) CODEN: XNBSAV U.S. GOVERNMENT PRINTING OFFICE WASHINGTON: 1975 For sale by the Superintendent of Documents U.S. Government Printing Office, Washington, D.C. 20402 Paper cover Price $3.00 Stock Number 003-003-01408 Catalog Number C13.10:420 FOREWORD The metric system was made legal by Congress in 1866, the United States of America signed the Treaty of the Metre in 1875, and we have been active in international coordination of measurements since that time. -
Metric System.Pdf
METRIC SYSTEM THE METRIC SYSTEM The metric system is much easier. All metric units are related by factors of 10. Nearly the entire world (95%), except the United States, now uses the metric system. Metric is used exclusively in science. Because the metric system uses units related by factors of ten and the types of units (distance, area, volume, mass) are simply-related, performing calculations with the metric system is much easier. METRIC CHART Prefix Symbol Factor Number Factor Word Kilo K 1,000 Thousand Hecto H 100 Hundred Deca Dk 10 Ten Base Unit Meter, gram, liter 1 One Deci D 0.1 Tenth Centi C 0.01 Hundredth Milli M 0.001 Thousandth The metric system has three units or bases. Meter – the basic unit used to measure length Gram – the basic unit used to measure weight Liter – the basic unit used to measure liquid capacity (think 2 Liter cokes!) The United States, Liberia and Burma (countries in black) have stuck with using the Imperial System of measurement. You can think of “the metric system” as a nickname for the International System of Units, or SI. HOW TO REMEMBER THE PREFIXES Kids Kilo Have Hecto Dropped Deca Over base unit (gram, liter, meter) Dead Deci Converting Centi Metrics Milli Large Units – Kilo (1000), Hecto (100), Deca (10) Small Units – Deci (0.1), Centi (0.01), Milli (0.001) Because you are dealing with multiples of ten, you do not have to calculate anything. All you have to do is move the decimal point, but you need to understand what you are doing when you move the decimal point. -
Colorado Metric Conversion Manual
COLORADO OT . DEPARTMENT OF TRANSPORTATION METRIC CONVERSION MANUAL January 1994 This manual or any part thereof must not be reproduced in any form without the following disclaimer. The information presented in this publication haS been prepared in accordance with recognized engineering principles and is for general information only. While it is believed to be accurate, this information should not be used or relied upon for any specific application without competent professional examination and verification of its accuracy, suitability, and applicability by a competent licensed engineer or other licensed professional. Publication of the material contained herein is not intended as a representation or warranty on the part of the Colorado Department of Transportation (CDOT) , that this information is suitable for any general or particular use or of freedom from infringement of any patent or patents. Anyone making use of this information assumes all liability arising from such use. Caution must be exercised when relying upon the specifications and codes developed by other bodies and incorporated herein, since such material may be modified or amended from time to time subsequent to the printing of this edition. COOT bears no responsibility for such material other than to incorporate it at the time of the initial publication of this edition, subject to the general comments set forth in the preceding paragraph. Table of Contents Preface ................................................... v Introduction . vii Chapter 1: Metric Units, Terms, Symbols, and Conversion Factors . ... 1-1 Basic Metric . 1-1 Length, Area, Volume and Temperature . 1-7 Civil and Structural Engineering . 1-10 Metric Project Definition ....................... .. 1-12 Chapter 2: Right-Of-Way ................................... -
Weights and Measures Standards of the United States—A Brief History (1963), by Lewis V
WEIGHTS and MEASURES STANDARDS OF THE UMIT a brief history U.S. DEPARTMENT OF COMMERCE NATIONAL BUREAU OF STANDARDS NBS Special Publication 447 WEIGHTS and MEASURES STANDARDS OF THE TP ii 2ri\ ii iEa <2 ^r/V C II llinCAM NBS Special Publication 447 Originally Issued October 1963 Updated March 1976 For sale by the Superintendent of Documents, U.S. Government Printing Office Wash., D.C. 20402. Price $1; (Add 25 percent additional for other than U.S. mailing). Stock No. 003-003-01654-3 Library of Congress Catalog Card Number: 76-600055 Foreword "Weights and Measures," said John Quincy Adams in 1821, "may be ranked among the necessaries of life to every individual of human society." That sentiment, so appropriate to the agrarian past, is even more appropriate to the technology and commerce of today. The order that we enjoy, the confidence we place in weighing and measuring, is in large part due to the measure- ment standards that have been established. This publication, a reprinting and updating of an earlier publication, provides detailed information on the origin of our standards for mass and length. Ernest Ambler Acting Director iii Preface to 1976 Edition Two publications of the National Bureau of Standards, now out of print, that deal with weights and measures have had widespread use and are still in demand. The publications are NBS Circular 593, The Federal Basis for Weights and Measures (1958), by Ralph W. Smith, and NBS Miscellaneous Publication 247, Weights and Measures Standards of the United States—a Brief History (1963), by Lewis V.