Critical Measurement Tools for the Competent Pharmacy Technician 2 Contact Hours
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5 Military Rucking Rules Every Backpacker Should Know 1. One
5 Military Rucking Rules Every Backpacker Should Know The military has spent years studying the best way to move under a load (aka “rucking”). Here are 5 military rucking rules that translate well to hikers. “Rucking” is the military term for hiking under load. As you can imagine, this is a huge issue for the military, as soldiers must wear body armor and carry weapons, ammo, water, communications equipment, and other gear as they conduct patrols and missions. Rucking performance and injury prevention are hugely important for military operations and personnel. Movement over ground under load is also a key for hiking and backpacking. In reviewing the research the military has already done on this subject, we discovered five rules. Read on to make sure you’re following these military rucking rules on your next backcountry adventure. 1. One pound on your feet equals five pounds on your back. This old backpacking thumb rule holds true, according to a 1984 study from the U.S. Army Research Institute. They tested how much more energy was expended with different footwear (boots and shoes) and concluded that it take 4.7 to 6.4 times as much energy to move at a given pace when weight is carried on the shoe versus on the torso. In practical terms, this means you could carry half a gallon more of water (a little over 4 pounds) if you buy boots that are a pound lighter, which isn’t hard to do; and that’s a lot of water. Now imagine the energy savings of backpacking in light trail running shoes rather than heavy, leather backpacking boots over the course of 7- day backpacking trip. -
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. -
Fundamentals of Math CHAPTER 1
© Jones and Bartlett Publishers, LLC. NOT FOR SALE OR DISTRIBUTION Fundamentals of Math CHAPTER 1 OBJECTIVES ■ Understand the difference between the Arabic and Roman numeral systems ■ Translate Arabic numerals to Roman numerals ■ Translate Roman numerals to Arabic numerals ■ Understand the metric system ■ Understand the apothecary system ■ Be able to convert metric to apothecary ■ Be able to convert apothecary to metric ARABIC NUMERALS The Arabic number system uses the numerals 1, 2, 3, 4, 5, 6, 7, 8, 9, and zero (0). It is also known as the decimal system. Depending on how these numbers are arranged determines the value of the number. For example, digits 4, 7, and 2 placed together (472) represent the number four hundred seventy-two. A decimal point (.) separates whole numbers, or units, from fractional num- bers, or fractional units. All numbers on the left side of the decimal point are considered whole numbers. All numbers placed on the right of the decimal point are considered fractional units, or less than one whole unit. The following num- ber line shows the relationship of Arabic numerals based on their position in a number. Ten-thousands hundreds ones tenths thousandths hundred-thousandths -----5------8------2-----4-----3---- . ----6------7------9------3------2-------------- thousands tens hundredths ten-thousandths The number 43.6 contains the numerals 4, 3, and 6. This represents forty-three units of one and six-tenths of one unit. Decimals will be covered in more detail in Chapter 2. 1 59612_CH01_FINAL.indd 1 8/20/09 7:38:45 PM © Jones and Bartlett Publishers, LLC. NOT FOR SALE OR DISTRIBUTION 2 Chapter 1 ■ Fundamentals of Math ROMAN NUMERALS The Roman numeral system does not utilize numerals. -
Student Academic Learning Services Pounds Mass and Pounds Force
Student Academic Learning Services Page 1 of 3 Pounds Mass and Pounds Force One of the greatest sources of confusion in the Imperial (or U.S. Customary) system of measurement is that both mass and force are measured using the same unit, the pound. The differentiate between the two, we call one type of pound the pound-mass (lbm) and the other the pound-force (lbf). Distinguishing between the two, and knowing how to use them in calculations is very important in using and understanding the Imperial system. Definition of Mass The concept of mass is a little difficult to pin down, but basically you can think of the mass of an object as the amount of matter contain within it. In the S.I., mass is measured in kilograms. The kilogram is a fundamental unit of measure that does not come from any other unit of measure.1 Definition of the Pound-mass The pound mass (abbreviated as lbm or just lb) is also a fundamental unit within the Imperial system. It is equal to exactly 0.45359237 kilograms by definition. 1 lbm 0.45359237 kg Definition of Force≡ Force is an action exerted upon an object that causes it to accelerate. In the S.I., force is measured using Newtons. A Newton is defined as the force required to accelerate a 1 kg object at a rate of 1 m/s2. 1 N 1 kg m/s2 Definition of ≡the Pound∙ -force The pound-force (lbf) is defined a bit differently than the Newton. One pound-force is defined as the force required to accelerate an object with a mass of 1 pound-mass at a rate of 32.174 ft/s2. -
U5 Determining Density
Presentation Name Course Name Unit # – Lesson #.# – Lesson Name Density • Density is a measure of the amount of matter per unit of volume Determining Density High Density Low Density – Objects more dense than water sink – Objects less dense than water float Matter: Mass vs. Weight Matter: Mass vs. Weight Mass and Weight are often confused • Mass is the amount of matter in an object or the • An example using SI units quantity of the inertia of the object – A man has a mass of 100 kg • Weight is the force of gravity on mass W = mg W = mg 2 W = (100 kg)(9.8 m/sec ) W = weight = 980 Newton m = mass g = acceleration of gravity – He weighs 980 N • Many materials are purchased by weight Project Lead The Way, Inc. Copyright 2010 1 Presentation Name Course Name Unit # – Lesson #.# – Lesson Name Matter: Mass vs. Weight Mass vs. Weight Mass and Weight are often confused • Pound-mass (lbm) is a unit of mass • US Customary units example . 1 lbm = 0.45359237 kg (by definition) – A woman weighs 100 pounds . 1 kg = 2.205 lbm (formula sheet) . 1 slug = 32.2 lbm (formula sheet) W = mg W Formula Sheet m = g 100 lb = = 3.1 slugs ft 32.2 s2 – Her mass is 3.1 slugs Mass vs. Weight Mass vs. Weight • Pound-force (lb) is a unit of force • How are pound-mass and pound-force . The gravitational force exerted on a mass of related? 2 one lbm on the surface of the Earth – On Earth (g = 32.174 ft/s ) . -
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. -
Imperial Units
Imperial units From Wikipedia, the free encyclopedia Jump to: navigation, search This article is about the post-1824 measures used in the British Empire and countries in the British sphere of influence. For the units used in England before 1824, see English units. For the system of weight, see Avoirdupois. For United States customary units, see Customary units . Imperial units or the imperial system is a system of units, first defined in the British Weights and Measures Act of 1824, later refined (until 1959) and reduced. The system came into official use across the British Empire. By the late 20th century most nations of the former empire had officially adopted the metric system as their main system of measurement. The former Weights and Measures office in Seven Sisters, London. Contents [hide] • 1 Relation to other systems • 2 Units ○ 2.1 Length ○ 2.2 Area ○ 2.3 Volume 2.3.1 British apothecaries ' volume measures ○ 2.4 Mass • 3 Current use of imperial units ○ 3.1 United Kingdom ○ 3.2 Canada ○ 3.3 Australia ○ 3.4 Republic of Ireland ○ 3.5 Other countries • 4 See also • 5 References • 6 External links [edit] Relation to other systems The imperial system is one of many systems of English or foot-pound-second units, so named because of the base units of length, mass and time. Although most of the units are defined in more than one system, some subsidiary units were used to a much greater extent, or for different purposes, in one area rather than the other. The distinctions between these systems are often not drawn precisely. -
Appendix C. General Tables of Units of Measurement
Handbook 44 – 2016 Appendix C – General Tables of Units of Measurement Table of Contents Appendix C. General Tables of Units of Measurement ........................................................ C-3 1. Tables of Metric Units of Measurement ..................................................................................................... C-3 Units of Length ............................................................................................................................................... C-3 Units of Area .................................................................................................................................................. C-3 Units of Liquid Volume .................................................................................................................................. C-4 Units of Volume ............................................................................................................................................. C-4 Units of Mass .................................................................................................................................................. C-4 2. Tables of U.S. Customary Units of Measurement ..................................................................................... C-4 Units of Length ............................................................................................................................................... C-4 Units of Area ................................................................................................................................................. -
The Unified Code for Units of Measure
1 The Unified Code for Units of Measure Version 1.4b, June 6, 2002 Gunther Schadow, Clement J. McDonald Regenstrief Institute for Health Care, Indianapolis Copyright c 1998, 1999, 2000, 2001, 2002 Regenstrief Institute for Health Care. All rights reserved. Introduction The Unified Code for Units of Measures is a code system intended to include all units of measures being con- temporarily used in international science, engineering, and business. The purpose is to facilitate unambiguous electronic communication of quantities together with their units. The focus is on electronic communication, as opposed to communication between humans. A typical application of The Unified Code for Units of Measures are electronic data interchange (EDI) protocols, but there is nothing that prevents it from being used in other types of machine communication. The Unified Code for Units of Measure is inspired by and heavily based on ISO 2955-1983, ANSI X3.50-1986, and HL7’s extensions called “ISO+”. The respective ISO and ANSI standards are both entitled Representation of [...] units in systems with limited character sets where ISO 2955 refers to SI and other units provided by ISO 1000-1981, while ANSI X3.50 extends ISO 2955 to include U.S. customary units. Because these standards carry the restriction of “limited character sets” in their names they seem to be of less value today where graphical user interface and laser printers are in wide-spread use, which is why the european standard ENV 12435 in its clause 7.3 declares ISO 2955 obsolete. ENV 12435 is dedicated exclusively to the communication of measurements between humans in display and print, and does not provide codes that can be used in communication between systems. -
Dimensions and Units English Units of Measurement Units of Weight
English units of measurement Today: A system of weights and measures used in a few nations, the only major industrial one Chapter 6 continued: being the United States. It actually consists of Dimensions and Units two related systems—the U.S. Customary System of units, used in the United States and dependencies, and the British Imperial System. Units of Weight The pound (lb) is the basic unit of weight (which is proportional to mass) (how?). Within the English units of measurement there are three different systems of weights. In the avoirdupois system, the most widely used of Question: the three, the pound is divided into 16 ounces (oz) and the ounce into 16 drams. The ton, used Is there a problem? to measure large masses, is equal to 2,000 lb (short ton) or 2,240 lb (long ton). In Great Britain the stone, equal to 14 lb, is also used. “weight is proportional to mass.” Answer: You need to be aware of Force = Mass* Acceleration the law governing that proportionality: Newton’s Law Acceleration is NOT a constant, mass is. Force = Mass* Acceleration Even on earth, g = 9.81 m/s2 is NOT constant, but varies with latitude and Question: elevation. Is there a problem? “weight is proportional to mass.” “weight is proportional to mass.” 1 Another problem arises from the A mass is NEVER a “weight”. common intermingling of the terms “mass” and “weight”, as in: Force = Mass* Acceleration “How much does a pound of mass weigh?” Or: “If you don’t know whether it’s pound- “Weight” = Force mass or pound-weight, simply say pounds.” “Weight” = Force Forces in SI Units …because on earth all masses are 2 exposed to gravity. -
Conversions Useful in Fish Culture and Fishery Research and Management Library of Congress Cataloging-In-Publication Data Moore, Brenda Rodgers
U.S. Department of the Interior U.S. Fish & Wildlife Service Office of Information Transfer 1025 Pennock Place, Suite 212 Fort Collins, CO 80524 http://www.fws.gov January 2008 U.S. Fish & Wildlife Service Conversions Useful in Fish Culture and Fishery Research and Management Library of Congress Cataloging-in-Publication Data Moore, Brenda Rodgers. Conversions useful in fish culture and fishery research and management. (Fish and wildlife leaflet ; 10) Supt of Docs no.: 149.13/5:10 1. Fisheries––Tables. 2. Fish-culture––Tables. 3. Metric system––Conversion table. I. Mitchell, Andrew J. II. Title. III. Series. SH331.5.M58M66 1987 639'.2'0212 87-600400 Conversions Useful in Fish Culture and Fishery Research and Managment Compiled by Brenda Rodgers Moore1 Andrew J. Mitchell Fish Farming Experimental Station U.S. Fish and Wildlife Service Stuttgart, AK 72160-0860 lpresent address: 3008 Covewood Dr., Highpoint, NC 27260. Leaflet 10 Washington, DC 1987 Revised January 2008 Contents Page Introduction. 1 Conversions. 1 acre (A). .1 acre-foot (A-ft) . 1 ångström (Å). 1 are (a). 1 barrel, U.S. fruits and vegetables . 1 barrel, U.S. liquid (bbl). .2 barrel, U.S. petroleum . .2 bushel, B.I. (bUBI). .2 bushel, U.S. (bu). .2 centare or centiare (ca). .2 centigram (cg). .2 centiliter (cL). 2 centimeter (cm). 2 centimeter of mercury (cm Hg). 3 centimeters per second (cm/s) . .3 centner (zentner) . 3 cubic centimeter (cm3). 3 cubic decimeter (dm3). .3 cubic foot (ft3) . .4 cubic feet per minute (ft3/min) . .4 cubic feet per second (ft3/s). 4 cubic inch (in3). -
Systems of Measure 39
© Jones & Bartlett Learning, LLC Chapter© Jones2 & Bartlett Learning, LLC NOT FOR SALE OR DISTRIBUTION NOT FOR SALE OR DISTRIBUTION © Jones & BartlettSystems Learning, LLC of Measure© Jones & Bartlett Learning, LLC NOT FOR SALE OR DISTRIBUTION NOT FOR SALE OR DISTRIBUTION % C OBJECTIVES © Jones & Bartlett. Learning, LLC © Jones & Bartlett Learning, LLC 789NOT FOR SALE—. OR DISTRIBUTIONUpon completion of this chapter,NOT FORthe technician SALE OR student DISTRIBUTION will be able to: 4 5 6 X • Express metric measures correctly. © Jones & Bartlett Learning, LLC • Convert measures© Jones within & Bartlett the metric Learning, system LLC accurately. NOT FOR SALE OR DISTRIBUTION NOT FOR SALE OR DISTRIBUTION • Identify symbols within all systems and identify their equivalent. • State the apothecaries’ measures commonly used in the © Jones & Bartlettprac ticeLearning, of pharmacy. LLC © Jones & Bartlett Learning, LLC NOT FOR SALE OR DISTRIBUTION NOT FOR SALE OR DISTRIBUTION • Identify measures in the household system used in the practice of pharmacy. TERMS • State the common household equivalents in the © Jones & Bartlett Learning, LLC © Jones & Bartlett Learning, LLC • 24-hour time metric system. NOT FOR SALE OR DISTRIBUTION NOT FOR SALE OR DISTRIBUTION • Apothecaries’ • Convert approximate equivalents between the metric, system apothecaries’, and household systems. • Avoirdupois © Jones & Bartlettsystem Learning, LLC • Become familiar© Jones with & milliequivalents, Bartlett Learning, units, LLC and NOT FOR •SALEGram OR DISTRIBUTION internationalNOT