U3 Measurement and Measurement Systems

U3 Measurement and Measurement Systems

US Customary Measurement System The U S Customary System System of measurement used in the United States Similar to the British Imperial System of Measurement, but not identical Common U S Customary Units Measurement Symbol Unit

in. inch ft Foot mi mile

mass slug slug force lb pound time

s second thermodynamic temperature F Fahrenheit degree length

Common Items: Size Comparison Human hair Diameter of paper clip 0.2 mm. 0.1 mm 0.8 mm

SI US Customary System Two sheets of paper Recording Measurements Measurements must always include units Always errors in measurements

measurements are the best estimate of a quantity A measurement is only good if you are know that it is reasonable close to the actual quantity It is important to indicate the accuracy and precision of your measurements Scientists and engineers use significant digits to make the accuracy and precision of measurements clear Precision and Accuracy Precision (repeatability) = the degree to which repeated measurements show the same result

Accuracy = the degree of closeness of measurements of a quantity to the actual (or accepted) value High Accuracy Low Precision High Precision Low Accuracy High Accuracy High Precision

Recording Measurements Ideally, a measurement device is both accurate and precise Accuracy depends on calibration to a standard Precision depends on the characteristics and/or capabilities of the measuring device and its use Use significant digits to indicate the accuracy and precision of experimental results Record only to the precision to which you and your measuring device can measure Significant Digits

Accepted practice in science is to indicate accuracy and/or precision of measurement Significant digits are digits in a decimal number that carry meaning contributing to the precision or accuracy of the quantity The digits you record for a measurement are

considered significant Include all certain digits in a measurement and one uncertain digit Note: fractions are fuzzy numbers in which significant digits are not directly indicated Recording Measurements Manufacturers of equipment usually indicate the

accuracy and precision of the instrument General Rules Digital Instruments read and record all the numbers, including zeros after the decimal point, exactly as displayed Decimal Scaled Instruments record all digits that you can certainly determine from the scale markings and estimate one more digit Preferred over fractional scaled instruments Fractional Scaled Instruments need special consideration

Fractional Length Measurement A typical ruler provides A 12 inch graduated scale in US Customary units Each inch is graduated into smaller divisions, typically 1/16 increments The Inch The divisions on an U S Customary units scale are easily identified by different sized markings. The largest markings on the scale identify the inch. The Inch

Each subsequently shorter tick mark indicates half of the distance between next longer tick marks For example the next smaller tick mark indicates half of an inch = inch 1/2 The Inch Half of a half = inch. An English scale shows inch and inch marks. All fractions must be reduced to lowest terms

1/4 3/4 The Inch Half of a quarter = 1/8 inch 1/8 3/8 5/8

7/8 The Inch Half of an eighth = 1/16 inch 1/16 5/16 9/16 13/16 3/16 7/16 11/16 15/16 Measurement: Using a Fractional Scale How long is the rectangle? Lets look a little closer

Measurement: Using a Fractional Scale How long is the rectangle? What fraction of an inch does this mark represent? 3/16 1/4 1/2 1/8 Measurement: Using a Fractional Scale How long is the rectangle?

What is the midpoint of 2 1/8 and 2 3/16? 5/32 1/8 3/16 Measurement: Using a Fractional Scale How do we determine that 5/32 is midway

between 1/8 and 3/16? Convert each fraction to common a denominator: 32 Find the average of the two measurements 5 Recording a Measurement: Using a Fractional Scale How long is the rectangle?

Remember the General Rule Fractional Scaled Instruments require special consideration Is 6 significant digits appropriate??? 1/16 in. = .0625 in. Recording a Measurement: Using a Fractional Scale For the standard ruler marked in 1/16 inch increments Record fraction measurements to the nearest 1/32 inch.

2 5 in. 32 Record decimal equivalent to the nearest hundredths of an inch. 2.16 in. Your Turn Record each measurement in fractional and decimal inches.

Recently Viewed Presentations

  • DayWay quick tour AutoWay quick tour DayWay SILO

    DayWay quick tour AutoWay quick tour DayWay SILO

    AutoWay quick tour DayWay SILO quick tour DayWay STOCK quick tour DayWay DRIVER CONTROL STATION (DCS) quick tour DayWay OFFICE quick tour CLICK ON REQUIRED TOUR ...
  • Abnormal Psychology Fourth Edition Oltmanns and Emery Copyright

    Abnormal Psychology Fourth Edition Oltmanns and Emery Copyright

    Abnormal Psychology Fourth Edition Oltmanns and Emery PowerPoint Presentation Prepared By Fred W. Whitford Montana State University Chapter 6 Anxiety Disorders This multimedia product and its contents are protected under copyright law.
  • Snímek 1 - Masaryk University

    Snímek 1 - Masaryk University

    ZÁKLADNÍ INFORMACE Název předmětu: MANAGEMENT 1 (BKH_MAN1) Rozsah: 12 hodin přímé výuky Způsob ukončení: Ústní zkouška s testem
  • Shakespeare Introduction

    Shakespeare Introduction

    Mum's the word (Henry VI, Part 2) Neither here nor there (Othello) Send him packing (Henry IV) Set your teeth on edge (Henry IV) There's method in my madness (Hamlet) Too much of a good thing (As You Like It)...
  • The Library as HUB Manufacturing Finance Research Development

    The Library as HUB Manufacturing Finance Research Development

    The Library as "HUB" Manufacturing Finance Research Development Strategy & Business Development Human Resources Infrastructure Services (i) focal point; center of importance or activity DEFINITION: (i) confluence; a place where things or people come together SYNONYM: Manufacturing Finance Infrastructure Services...
  • Intelligent Agents - University of California, Berkeley

    Intelligent Agents - University of California, Berkeley

    Goal-based agents Utility-based agents Learning agents Intelligent Agents Chapter 2 Outline Agents and environments Rationality PEAS (Performance measure, Environment, Actuators, Sensors) Environment types Agent types Agents An agent is anything that can be viewed as perceiving its environment through sensors...
  • CTDXCC Summerfest Program

    CTDXCC Summerfest Program

    Benefits of Contesting. Multiple radios usually Yaesu ft-1000 or Elecraft k3's. Legal limit amps .. Alpha auto switching amps. ... ARRL RTTY. ARRL UHF. Sprint. Beginner to Expert. Iowa QSO Party. 160m top band challenge. ARRL 10m contest. TODAY. Jan....
  • Presentation  translate plus A global partner for translation

    Presentation translate plus A global partner for translation

    About translate plus . As a Global Top 40 translation services provider,we offer a full range of services in over 200 languages. translate plus has been chosen through a tender process to service Mondelēz International with translation and interpreting services...