Unit 1: Nature of Science. Measurement. Today Most Scientists, in Almost All Countries Use the International System of Units (SI Units) As Their System of Measurement

Total Page:16

File Type:pdf, Size:1020Kb

Unit 1: Nature of Science. Measurement. Today Most Scientists, in Almost All Countries Use the International System of Units (SI Units) As Their System of Measurement Unit 1: Nature of Science. Measurement. Today most scientists, in almost all countries use the International System of Units (SI units) as their system of measurement. Reason 1: helps scientists share and compare their data/ results Reason 2: Another advantage of SI units is all units are based on the number 10; meaning they are easily converted from one unit to another Unit 1: Nature of Science. Measurement. Length: the distance from one point to another Basic SI Unit of length: meter Base unit symbol: m Tool used to measure length: meter stick Unit 1: Nature of Science. Measurement. Volume: The amount of space that matter occupies. VOLUME OF A LIQUID Basic SI Unit of liquid volume: liter Base unit symbol: L Tool used to measure liquid volume: graduated cylinder Unit 1: Nature of Science. Measurement. Volume of REGULARLY SHAPED SOLID OBJECTS Basic SI Unit of solid volume: cubic centimeter Base unit symbol: cm3 Tool used to measure solid volume: meter stick To calculate solid volume: L x W x H Unit 1: Nature of Science. Measurement. Mass: is the amount of matter that something is made of Basic SI Unit of mass: gram Base unit symbol: g Tool used to measure mass: triple beam balance Unit 1: Nature of Science. Measurement. Volume of an Irregularly Shaped Object Basic SI Unit: cubic centimeter Base unit symbol: cm3 Tool used to measure volume of irreg. solid: graduated cylinder Unit 1: Nature of Science. Measurement. Water Displacement method: Volume of liquid after object has been submerged - Original Volume of liquid in grad. Cylinder Answer is volume of irregular solid object (cm3) Dora Example 48 mL -44 mL 4cm3 ***BECAUSE 1mL = 1cm3 Unit 1: Nature of Science. Measurement. Weight: is a measure of the force of gravity on an object Basic SI Unit of weight: Newton Base unit symbol: N Tool used to measure weight: spring scale Unit 1: Nature of Science. Measurement. Mass vs. Weight Mass DOES NOT change with location, weight DOES! Unit 1: Nature of Science. Measurement. Temperature: is a measure of how hot (or cold) something is. Specifically, the measure of average kinetic energy of the particles in the object. Basic SI Unit of temperature: Degrees Celsius Base unit symbol: °C Tool used to measure temperature: thermometer Unit 1: Nature of Science. Measurement. Time: the measure of a passing interval, from one event to another Basic SI Unit of time: second Base unit symbol: s Tool used to measure time: stopwatch Unit 1: Nature of Science. Measurement. Density the amount of “stuff” in a particular space - The density of room temp. water is 1 gram/ cm3 - An object will SINK in water if an objects density is greater than 1 g/cm3. - An object will FLOAT in water if its density is less than 1 g/cm3 it will. - Density = mass volume Unit 1: Nature of Science. Measurement. An objects density does NOT change when it is broken in half! The molecules are still packed in the same way, no matter the size of the sample. D= m/v D= m/v D= m/v D= 60 g/25cm3 D= 120 g/ 50cm3 D= 96 g/ 40cm3 D= 2.4 g/ cm3 D= 2.4 g/ cm 3 D= 2.4 g/ cm3 .
Recommended publications
  • 8.1 Basic Terms & Conversions in the Metric System 1/1000 X Base Unit M
    ___________________________________ 8.1 Basic Terms & Conversions in the Metric System ___________________________________ Basic Units of Measurement: •Meter (m) used to measure length. A little longer than a yard. ___________________________________ ___________________________________ •Kilogram (kg) used to measure mass. A little more than 2 pounds. ___________________________________ •Liter (l) used to measure volume. A little more than a quart. •Celsius (°C) used to measure temperature. ___________________________________ ___________________________________ ch. 8 Angel & Porter (6th ed.) 1 The metric system is based on powers of 10 (the decimal system). ___________________________________ Prefix Symbol Meaning ___________________________________ kilo k 1000 x base unit ___________________________________ hecto h 100 x base unit deka da 10 x base unit ___________________________________ ——— ——— base unit deci d 1/10 x base unit ___________________________________ centi c 1/100 x base unit milli m 1/1000 x base unit ___________________________________ ___________________________________ ch. 8 Angel & Porter (6th ed.) 2 ___________________________________ Changing Units within the Metric System 1. To change from a smaller unit to a larger unit, move the ___________________________________ decimal point in the original quantity one place to the for each larger unit of measurement until you obtain the desired unit of measurement. ___________________________________ 2. To change form a larger unit to a smaller unit, move the decimal point
    [Show full text]
  • Lesson 1: Length English Vs
    Lesson 1: Length English vs. Metric Units Which is longer? A. 1 mile or 1 kilometer B. 1 yard or 1 meter C. 1 inch or 1 centimeter English vs. Metric Units Which is longer? A. 1 mile or 1 kilometer 1 mile B. 1 yard or 1 meter C. 1 inch or 1 centimeter 1.6 kilometers English vs. Metric Units Which is longer? A. 1 mile or 1 kilometer 1 mile B. 1 yard or 1 meter C. 1 inch or 1 centimeter 1.6 kilometers 1 yard = 0.9444 meters English vs. Metric Units Which is longer? A. 1 mile or 1 kilometer 1 mile B. 1 yard or 1 meter C. 1 inch or 1 centimeter 1.6 kilometers 1 inch = 2.54 centimeters 1 yard = 0.9444 meters Metric Units The basic unit of length in the metric system in the meter and is represented by a lowercase m. Standard: The distance traveled by light in absolute vacuum in 1∕299,792,458 of a second. Metric Units 1 Kilometer (km) = 1000 meters 1 Meter = 100 Centimeters (cm) 1 Meter = 1000 Millimeters (mm) Which is larger? A. 1 meter or 105 centimeters C. 12 centimeters or 102 millimeters B. 4 kilometers or 4400 meters D. 1200 millimeters or 1 meter Measuring Length How many millimeters are in 1 centimeter? 1 centimeter = 10 millimeters What is the length of the line in centimeters? _______cm What is the length of the line in millimeters? _______mm What is the length of the line to the nearest centimeter? ________cm HINT: Round to the nearest centimeter – no decimals.
    [Show full text]
  • Natural Units Conversions and Fundamental Constants James D
    February 2, 2016 Natural Units Conversions and Fundamental Constants James D. Wells Michigan Center for Theoretical Physics (MCTP) University of Michigan, Ann Arbor Abstract: Conversions are listed between basis units of natural units system where ~ = c = 1. Important fundamental constants are given in various equivalent natural units based on GeV, seconds, and meters. Natural units basic conversions Natural units are defined to give ~ = c = 1. All quantities with units then can be written in terms of a single base unit. It is customary in high-energy physics to use the base unit GeV. But it can be helpful to think about the equivalences in terms of other base units, such as seconds, meters and even femtobarns. The conversion factors are based on various combinations of ~ and c (Olive 2014). For example −25 1 = ~ = 6:58211928(15) × 10 GeV s; and (1) 1 = c = 2:99792458 × 108 m s−1: (2) From this we can derive several useful basic conversion factors and 1 = ~c = 0:197327 GeV fm; and (3) 2 11 2 1 = (~c) = 3:89379 × 10 GeV fb (4) where I have not included the error in ~c conversion but if needed can be obtained by consulting the error in ~. Note, the value of c has no error since it serves to define the meter, which is the distance light travels in vacuum in 1=299792458 of a second (Olive 2014). The unit fb is a femtobarn, which is 10−15 barns. A barn is defined to be 1 barn = 10−24 cm2. The prefexes letters, such as p on pb, etc., mean to multiply the unit after it by the appropropriate power: femto (f) 10−15, pico (p) 10−12, nano (n) 10−9, micro (µ) 10−6, milli (m) 10−3, kilo (k) 103, mega (M) 106, giga (G) 109, terra (T) 1012, and peta (P) 1015.
    [Show full text]
  • 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.
    [Show full text]
  • Units of Measurement and Dimensional Analysis
    Measurements and Dimensional Analysis POGIL ACTIVITY.2 Name ________________________________________ POGIL ACTIVITY 2 Units of Measurement and Dimensional Analysis A. Units of Measurement- The SI System and Metric System here are myriad units for measurement. For example, length is reported in miles T or kilometers; mass is measured in pounds or kilograms and volume can be given in gallons or liters. To avoid confusion, scientists have adopted an international system of units commonly known as the SI System. Standard units are called base units. Table A1. SI System (Systéme Internationale d’Unités) Measurement Base Unit Symbol mass gram g length meter m volume liter L temperature Kelvin K time second s energy joule j pressure atmosphere atm 7 Measurements and Dimensional Analysis POGIL. ACTIVITY.2 Name ________________________________________ The metric system combines the powers of ten and the base units from the SI System. Powers of ten are used to derive larger and smaller units, multiples of the base unit. Multiples of the base units are defined by a prefix. When metric units are attached to a number, the letter symbol is used to abbreviate the prefix and the unit. For example, 2.2 kilograms would be reported as 2.2 kg. Plural units, i.e., (kgs) are incorrect. Table A2. Common Metric Units Power Decimal Prefix Name of metric unit (and symbol) Of Ten equivalent (symbol) length volume mass 103 1000 kilo (k) kilometer (km) B kilogram (kg) Base 100 1 meter (m) Liter (L) gram (g) Unit 10-1 0.1 deci (d) A deciliter (dL) D 10-2 0.01 centi (c) centimeter (cm) C E 10-3 0.001 milli (m) millimeter (mm) milliliter (mL) milligram (mg) 10-6 0.000 001 micro () micrometer (m) microliter (L) microgram (g) Critical Thinking Questions CTQ 1 Consult Table A2.
    [Show full text]
  • The International System of Units (SI)
    NAT'L INST. OF STAND & TECH NIST National Institute of Standards and Technology Technology Administration, U.S. Department of Commerce NIST Special Publication 330 2001 Edition The International System of Units (SI) 4. Barry N. Taylor, Editor r A o o L57 330 2oOI rhe National Institute of Standards and Technology was established in 1988 by Congress to "assist industry in the development of technology . needed to improve product quality, to modernize manufacturing processes, to ensure product reliability . and to facilitate rapid commercialization ... of products based on new scientific discoveries." NIST, originally founded as the National Bureau of Standards in 1901, works to strengthen U.S. industry's competitiveness; advance science and engineering; and improve public health, safety, and the environment. One of the agency's basic functions is to develop, maintain, and retain custody of the national standards of measurement, and provide the means and methods for comparing standards used in science, engineering, manufacturing, commerce, industry, and education with the standards adopted or recognized by the Federal Government. As an agency of the U.S. Commerce Department's Technology Administration, NIST conducts basic and applied research in the physical sciences and engineering, and develops measurement techniques, test methods, standards, and related services. The Institute does generic and precompetitive work on new and advanced technologies. NIST's research facilities are located at Gaithersburg, MD 20899, and at Boulder, CO 80303.
    [Show full text]
  • How to Define the Base Units of the Revised SI from Seven Constants with Fixed Numerical Values
    Rapport BIPM-2018/02 Bureau International des Poids et Mesures How to define the base units of the revised SI from seven constants with fixed numerical values Richard Davis *See Reference 7 February 2018 Version 3. Revised 6 April 2018 Abstract [added April 2018] As part of a revision to the SI expected to be approved later this year and to take effect in May 2019, the seven base units will be defined by giving fixed numerical values to seven “defining constants”. The report shows how the definitions of all seven base units can be derived efficiently from the defining constants, with the result appearing as a table. The table’s form makes evident a number of connections between the defining constants and the base units. Appendices show how the same methodology could have been used to define the same base units in the present SI, as well as the mathematics which underpins the methodology. How to define the base units of the revised SI from seven constants with fixed numerical values Richard Davis, International Bureau of Weights and Measures (BIPM) 1. Introduction Preparations for the upcoming revision of the International System of Units (SI) began in earnest with Resolution 1 of the 24th meeting of the General Conference on Weights and Measures (CGPM) in 2011 [1]. The 26th CGPM in November 2018 is expected to give final approval to a revision of the present SI [2] based on the guidance laid down in Ref. [1]. The SI will then become a system of units based on exact numerical values of seven defining constants, ΔνCs, c, h, e, k, NA and
    [Show full text]
  • Grade 6 Math Circles Dimensional and Unit Analysis Required Skills
    Faculty of Mathematics Waterloo, Ontario N2L 3G1 Grade 6 Math Circles October 22/23, 2013 Dimensional and Unit Analysis Required Skills In order to full understand this lesson, students should review the following topics: • Exponents (see the first lesson) • Cancelling Cancelling is the removal of a common factor in the numerator (top) and denominator (bottom) of a fraction, or the removal of a common factor in the dividend and divisor of a quotient. Here is an example of cancelling: 8 (2)(8) (2)(8) (2)(8) 8 (2) = = = = 10 10 (2)(5) (2)(5) 5 We could also think of cancelling as recognizing when an operation is undone by its opposite operation. In the example above, the division by 2 is undone by the multiplication by 2, so we can cancel the factors of 2. If we skip writing out all the steps, we could have shown the cancelling above as follows: 8 8 8 (2) = (2) = 10 (2)(5) 5 We can also cancel variables in the same way we cancel numbers. In this lesson, we will also see that it is possible to cancel dimensions and units. 1 Dimensional Analysis x If x is a measurement of distance and t is a measurement of time, then what does represent t physically? Dimension We can use math to describe many physical things. Therefore, it is helpful to define the the physical nature of a mathematical object. The dimension of a variable or number is a property that tells us what type of physical quantity it represents. For example, some possible dimensions are Length Time Mass Speed Force Energy In our opening question, x is a measurement of distance.
    [Show full text]
  • Physical Quantities "Mathematics Is The
    AP Physics Summer Work: Read the following notes from our first unit. Answer any questions. Do the Algebra Review Sheet. This will allow us to go through this unit very quickly upon your return. PHYSICAL QUANTITIES "MATHEMATICS IS THE LANGUAGE OF PHYSICS" THE BUILDING BLOCKS OF PHYSICS: "The Physical Quantities That we use to express the laws of Physics" Length Mass Time Force Velocity Temperature ETC... Measurement of PHYSICAL QUANTITIES takes place by comparing to known "Standards": What are these standards? Who decides what they are? How many Standards should we have? The Standards are Base units which must be established--Units upon which all other physical quantities should be based. EG: Miles per hour is derived from two quantities--length and time. The base units would be length and time, while MPH is a derived quantity, made up of two base units. WHO SETS UP THESE STANDARDS? The Bureau of weights and measures , established in 1875 , near Paris. What are some available systems of units? -British -Metric(SI) -cgs System For This course, our Base Units will be the "SI System", although we often mix in the British System. THE SI SYSTEM--BASE UNITS: BASE UNIT NAME SYMBOL Length meter m Mass kilogram kg Time second s Electric Current ampere A Temperature kelvin K Amount of Substance mole mol Luminous Intensity candela cd LENGTH, MASS, AND TIME ARE VERY IMPORTANT FOR MECHANICS AND WILL BE USED EXTENSIVELY. All Quantities can be derived from the base units. Ex. 1: mass of objects Ex. 2: Speed from clock and meter stick.
    [Show full text]
  • An Introduction to Dimensional Analysis David Dureisseix
    An introduction to dimensional analysis David Dureisseix To cite this version: David Dureisseix. An introduction to dimensional analysis. Engineering school. Lyon, France. 2016, pp.20. cel-01380149v3 HAL Id: cel-01380149 https://cel.archives-ouvertes.fr/cel-01380149v3 Submitted on 12 Apr 2019 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Distributed under a Creative Commons Attribution - NoDerivatives| 4.0 International License An introduction to dimensional analysis David Dureisseix D´epartement G´enieM´ecanique, INSA de Lyon April 12, 2019 This document is a short (and hopefully concise) introduction to dimensional analysis and is not expected to be printed. Indeed, it relies on URL links (in colored text) to refer to information sources and complementary studies, so it does not provide a large bibliography, nor many pictures. It has been realized with the kind help of Ton Lubrecht and Marie-Pierre Noutary. Photography by KoS, 2008, distributed under a CC BY-SA 3.0 license 1 Contents 1 Goals of dimensional analysis3 2 Physical quantities and
    [Show full text]
  • SI Base Units
    463 Appendix I SI base units 1 THE SEVEN BASE UNITS IN THE INTERNatioNAL SYSTEM OF UNITS (SI) Quantity Name of Symbol base SI Unit Length metre m Mass kilogram kg Time second s Electric current ampere A Thermodynamic temperature kelvin K Amount of substance mole mol Luminous intensity candela cd 2 SOME DERIVED SI UNITS WITH THEIR SYMBOL/DerivatioN Quantity Common Unit Symbol Derivation symbol Term Term Length a, b, c metre m SI base unit Area A square metre m² Volume V cubic metre m³ Mass m kilogram kg SI base unit Density r (rho) kilogram per cubic metre kg/m³ Force F newton N 1 N = 1 kgm/s2 Weight force W newton N 9.80665 N = 1 kgf Time t second s SI base unit Velocity v metre per second m/s Acceleration a metre per second per second m/s2 Frequency (cycles per second) f hertz Hz 1 Hz = 1 c/s Bending moment (torque) M newton metre Nm Pressure P, F newton per square metre Pa (N/m²) 1 MN/m² = 1 N/mm² Stress σ (sigma) newton per square metre Pa (N/m²) Work, energy W joule J 1 J = 1 Nm Power P watt W 1 W = 1 J/s Quantity of heat Q joule J Thermodynamic temperature T kelvin K SI base unit Specific heat capacity c joule per kilogram degree kelvin J/ kg × K Thermal conductivity k watt per metre degree kelvin W/m × K Coefficient of heat U watt per square metre kelvin w/ m² × K 464 Rural structures in the tropics: design and development 3 MUltiples AND SUB MUltiples OF SI–UNITS COMMONLY USED IN CONSTRUCTION THEORY Factor Prefix Symbol 106 mega M 103 kilo k (102 hecto h) (10 deca da) (10-1 deci d) (10-2 centi c) 10-3 milli m 10-6 micro u Prefix in brackets should be avoided.
    [Show full text]
  • Universal Constants and Natural Systems of Units in a Spacetime of Arbitrary Dimension
    universe Communication Universal Constants and Natural Systems of Units in a Spacetime of Arbitrary Dimension Anton Sheykin * and Sergey Manida HEP&EP Department, Saint Petersburg State University. Ul’yanovskaya, 1, 198504 St.-Petersburg, Russia; [email protected] * Correspondence: [email protected] Received: 9 September 2020; Accepted: 29 September 2020; Published: 1 October 2020 Abstract: We study the properties of fundamental physical constants using the threefold classification of dimensional constants proposed by J.-M. Lévy-Leblond: constants of objects (masses, etc.), constants of phenomena (coupling constants), and “universal constants” (such as c and h¯ ). We show that all of the known “natural” systems of units contain at least one non-universal constant. We discuss the possible consequences of such non-universality, e.g., the dependence of some of these systems on the number of spatial dimensions. In the search for a “fully universal” system of units, we propose a set of constants that consists of c, h¯ , and a length parameter and discuss its origins and the connection to the possible kinematic groups discovered by Lévy-Leblond and Bacry. Finally, we give some comments about the interpretation of these constants. Keywords: natural units; universal constants; Planck units; dimensional analysis; kinematic groups 1. Introduction The recent reform of the SI system made the definitions of its primary units (except the second) dependent on world constants, such as c, h¯ , and kB. This thus sharpens the question about the conceptual nature of physical constants in theoretical physics (see, e.g., the recent review [1]). This question can be traced back to Maxwell and Gauss, and many prominent scientists made their contribution to the discussion of it.
    [Show full text]