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Fig. 11-3 A Fig. 11-2 A steel rule (actual size) with 1/32” rule marked in decimal fractions of graduations along the top edge and 1/64” an inch (actual size). The smallest division on the graduations along the bottom edge. upper scale is .100”, on the lower scale .010”.

Decimal fractions of an inch, however, are Table 11-1 gives the decimal equivalents normally written on technical drawings in the of all the common fractions of an inch, to following way: gether with their equivalent in millimeters.

1 one tenth inch = — = 0.100” How big is one-thousandth of an inch? To give you an idea of .001” (‘/iooo”), one hundredth inch = —i-- 0.010” this paper is about 3/iooo” thick, and thin tis sue paper is about Yiooo”thick. A hair on your head is about 3/iaoo”thick. one thousandth inch j-j = 0.001”

1 one ten-thousandth inch = 10 000 Measurement of common fractions with a steel rule frequently cannot provide the accu racy required. Therefore, precision measuring instruments, such as and ver SI Metric System niers, have been developed that measure ac The SI Metric system is a base ten, or dec curately to Yiooo”and even ‘/io,ooo”. (These are imal, system. Its units of measurement are re described in Unit 14.) Since these instruments lated to each other by powers of ten. Each of measure in decimal fractions, it is important the main units can be changed to a unit of to learn the decimal equivalents of the com more convenient size, when desired, by mul mon fractions. tiplying or dividing by powers of ten. Table Decimal equivalents. The decimal equiva 11-2 lists the names of several basic SI metric lent of a common fraction may be found by units, their symbols, and their relationship to dividing the numerator of the fraction by its each other. It is important to learn the metric denominator. symbols because they are used whenever met Example: Y2 = 1 - 2, or .500 ric measurements are written or printed. The 2)1.000 same symbol is used for singular and plural. Table 11-1

Fractional and Decimal Inch and Millimeter Equivalents To 4 To 3 To 2 Milli- To 4 To 3 To 2 Miii 4ths Sths l6ths 32nds 64ths places places places meters 4ths 8ths l6ths 32nds ó4ths places places places meters 0156 .016 33 64 .02 .397 .5156 .516 .52 13.097 .0312 .031 17 64 32 .03 .794 .5312 .531 .53 13.494 3 32 35 .0469 .047 .05 1.191 .5469 .547 64 9 64 .55 13.891 .0625 .062 .06 1.588 .5625 16 5 16 .562 .56 14.288 .0781 .078 .08 1.984 37 3 64 .5781 .578 58 14.684 .0938 .094 .09 2.381 19 64 32 7 .5938 .594 .59 15.081 .1094 32 39 .109 .11 2.778 .6094 .609 .61 64 5 64 15.478 .1250 .125 .12 3.175 .6250 8 9 8 .625 .62 15.875 1406 .141 .14 3.572 41 5 64 .6406 .641 .64 16.272 .1562 .156 16 3.969 21 64 32 11 .6562 .656 .66 16.669 .1719 .172 32 43 .17 4.366 .6719 .672 .67 3 64 11 64 17.066 .1875 .188 .19 4.762 .6875 16 13 16 .688 .69 17.462 .2031 .203 .20 5.159 45 7 64 .7031 .703 .70 17.859 2188 .219 .22 5.556 23 64 32 15 7188 .719 .72 18.256 • 2344 32 47 .234 .23 5.953 .7344 .734 64 3 .73 18.653 .2500 .250 25 6.350 64 4 17 4 .7500 .750 .75 19.050 .2656 .266 .27 6.747 49 9 64 .7656 .766 .77 19.447 .2812 25 64 .281 .28 7.144 .7812 .781 32 19 32 .78 19.844 .2969 .297 .30 7.541 51 5 64 .7969 .797 .80 20.241 .3125 .312 .31 7.938 13 64 16 21 16 .8125 .812 .81 20.638 .3281 .328 .33 8.334 53 11 64 .8281 .828 .83 21.034 .3438 .344 .34 8.731 27 64 32 23 .8438 .844 .84 21.431 .3594 32 55 .359 .36 9.128 .8594 .859 .86 3 64 7 64 21.828 .3750 .375 .38 9.525 .8750 8 25 8 .875 .88 22.225 3906 391 .39 9.922 57 13 64 .8906 .891 .89 22.622 .4062 .406 41 10.319 29 64 32 27 .9062 .906 .91 23.019 .4219 32 59 .422 .42 10.716 .9219 .922 .92 23.416 7 64 15 64 .4375 .438 .44 11.112 .93 75 16 29 16 .938 .94 23.8 12 .4531 .453 .45 11.509 61 15 64 .9531 .953 .95 24.209 4688 .469 .47 11.906 31 64 32 31 .9688 .969 .97 24.606 .4844 32 63 .484 .48 12.303 .9844 .984 .98 25.003 64 64 .5000 .500 .50 12.700 1.0000 1.000 1.00 25.400 Table 11-2

Metric Si Units

Property Unit name Symbol Relationship of units

Length millimeter mm 1 mm = 0.001 m

LINEAR centimeter cm 1 cm = 10 mm

MEASURE decimeter dm 1 dm = 10 cm or 100mm

meter m 1 m = 100 cm or 1000mm

kilometer km 1 km = 1,000 m

Area square centimeter cm’ 1 cm’ = 100 mm’ SQUARE square decimeter dm’ 1 dm’ = 100 cm’ MEASURE square meter m’ 1 m’ = 100 dm’

ale a I a = 100 m’

hectare ha 1 ha = 100 a

square kilometer km2 1 km’ = 100 ha milligram mg I mg = 0001 g

MASS gram g 1 g = 1,000 mg

kilogram kg 1 kg 1,000 g

metric ton 1 1 t = 1,000 kg

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Fig. 11-4 A One meter, the basic unit of 1 in SI. Metrics, and B one yard, a II 1111111111111111111 linear unit in the U.S. Customary system. STHS ii 21 3! C The sizes of and millimeters are compared at right. 210 310 410 510 110 Il1iIIlHllHhIlIIIIll)I1I1IIIHIIIlIH(lI1LHh(1IIlIUIuh11iIllIllhII11.llhI[

We are mainly concerned here with the basic SI Metric units of linear measurement, The meter is the basic . It mea 39.37”, roughly equal to the yard (Fig. sures A full range of metric micrometers and is into decimeters 11-4). The meter divided vemiers are available for making measure (0.1 meter], centimeters 10.01meter], and mil ments finer than ‘/2 mm. Unit 14 explains [0.001 meter]. It has been agreed limeters how to read these instruments. worldwide that metric dimensions on techni cal drawings for metalwork will be given in millimeters. Most metric and tapes are divided into millimeters, abbreviated “mm,” and are 114 Use of Conversion numbered at every 10 mm mark (Fig. 11-5). Tables 300 mm rules are used instead of the familiar 12”rules, and 150 mm steel rules replace the Conversion tables are included in this 6” pocket rule. Precision steel rules are avail book for convenience in convering dimen able with graduations as fine as 0.5 mm 1½ sions in inches to dimensions in millimeters. mm] (Fig. 11-6). Table 11-3 can be used for converting decimal

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Abbreviations: Measuring Power Pnemonic Multiplier When Volume The yardsticks, that are inches, measurements Measurements System important units. Converting metric measurement. metric United 1000, Length Prefix Mass 1 1 usually of they metric yard and 10 measuring system system; States pounds, of are (ft) that (yd) so Units) system and written ZI metric Thousands = competing To on. is

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Convert from: To: Multiply by: mile kilometer 1.609347 km/mi inch millimeter 25.4 mm/in. inch centimeter 2.54 cm/in. foot meter .3048 rn/ft yard meter .9144 rn/yd kilometer mile .6214 mi/km millimeter inch .0394 in/mm centimeter inch .3937 in/cm meter foot 3.281 ft/rn meter yard 1.094 yd/m Equipment • GTT notebook Measuring devices (, metric ruler, yard stick, meter stick, tape measure) Procedure In this activity you will have a chance to practice your Metric and English measuring skills.

1. Complete the English and Metric measurement questions in this activity. 2. Complete the “Educated Guess” columns of the chart. 3. Obtain several measuring devices from your instructor and complete the actual measurement section of the chart. 4. Complete the conclusion questions and turn in to your instructor for grading.

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Activity 1.3.4 Measurement Lab - Skimmer Page 1 of 4 çn GiLewa To T:r.noD:;v ?

Activity 1.3.4 Measurement Lab — Skimmer Introduction Throughout history many systems of measurement have been devised and then thrown out as more precise and more logical systems have come along. While most of the world has adopted the metric system, the United States still clings to the Standard system, also called the customary system. Which system are you more comfortable with? Why do you think that is true? In this measurement lab, you will have a chance to perfect your precision measuring skills in the system that you are less comfortable with. STEM professionals, such as scientists, technologists, mathematicians, and engineers, must be able to measure accurately. It is very important that you pay attention to the units that you are using. Equipment • GTT notebook • Pencil • Metric or English ruler • 60# Cardstock,Tag board, file folder, or cereal box • Glue • Tape • Paper fastener (optional) • Lg. rubber band (optional) Procedure

Inthis activity you will create a skimmer that willslide across the floor with ease ifyour measurements are accurate and your workmanship is exceptional.

1. Neatly and accurately use the plan sheet and measuring tool to draw your skimmer main body, air scoop, and two (2) fins onto the material that you willuse to make your skimmer. 2. Carefully cut out your skimmer parts. Cut only on the solid lines. The dotted lines are where you will score and fold. 3. Use your ruler to draw the dotted lines on your cardboard air scoop and main body, and then fold on these lines to create a 9Q0 angle. 4. Glue the fins to the 1/2 in. flap on the main body. Make sure that the angled edge faces the front of your skimmer. Glue or tape the main body back to the fins at an angle as shown in the orthographic drawing. 5. Glue the flaps of the air scoop to the inside edges of the main body with the narrow end flush with the front of the main body as shown in the orthographic drawing.

6. After all glue has dried, throw your skimmer along the floor and see how smoothly it glides. 7. You may want to put a paper fastener behind the air scoop and use a rubber band to propel your skimmer across the floor. Conclusion

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Part 4 Measurement and Layout Name Score

UNIT11 Linear Measurement

1-5. Short Answer. On the 6-inch rule shown, five points are marked for reading. Write the correct length for each numbered point in the space provided.

1.

2.

3.

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6-10. Short Answer. On the 150-mm rule shown, five points are marked for reading. Write the correct length for each numbered point in the space provided.

6.

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10mm 20 30 40 50 60 70 80 90 100 110 20 130 140

(Continued on next page)

29 ______

11-24. Short Answer. Write the decimal equivalent, to the nearest thousandth of an inch, of each of the following fractions.

11. ‘/“ 18. /i6”

12. V,” 19. 1/4”

13. /“ 20. ‘16”

14. /16” 21. ½”

15. ‘/2” 22. V16

16. /16” 23. ‘/32’

17. W’ 24. ‘/64”

25-32. Short Answer. Write each of the following dimensions in decimal form.

25. One and three-quarter inches

26. Six hundred twenty-five thousandths of an inch

27. Sixty-two thousandths of an inch

28. One half-thousandth of an inch

29. One ten-thousandth of an inch

30. Twenty-five and four-tenths millimeters

31. Six and thirty-five hundredths millimeters

32. Two thousandths of a millimeter

33-44. Short Answer. Using the conversion tables in Unit 11, change the following to the nearest hundredth of a millimeter.

33. 1” 39. 2’/4”

34. .3/4” 40. 8/g”

35. /1” 41. 0.130”

36. /,6” 42. 0.375”

37. 7//’ 43. 0.0625”

38. ‘%4” 44. 1.475”

30 ______

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Gateway ToTechnology iijj Activity 14.4 Orthographic Projection Introduction Did you know that when an invention is sent to the patent office, the patent office must verifythat your invention is truly new and unique from other products? In order to do this, the patent office requires explanatory drawings with your application. A simple invention may only require one drawing. More complicated objects or products require orthographic drawings (commonly referred to as multi-view drawings) so that every feature of the invention listed is shown. This is to enable anyone with the appropriate skills to be able to build your invention and test it.

Whether you plan to invent something or whether you are just interested in learning how to make something, a drawing helps you figure out the different parts and how those parts go together. Orthographic drawings enable the reader of the drawings to understand how each part fits and how the final product should look from all views.

Orthographic projection is used to show an object in true size or scale on a flat piece of paper. When we look at an object, we see three dimensions- heightrwidth-depth) all at once. In an orthographic drawing, you willbe looking at the object from three different planes. When you look at the front, only two dimensions — height and width — appear. From the top, the two dimensions are width and depth, and from the right side, the height and depth are the dimensions. Equipment • GTT notebook • Pencil • Colored pencils • Straight edge • Isometric graph paper • Orthographic graph paper

• Wooden blocks — 7 cubes, 1 cube with hole, 2 triangles, I half round, and 1 cylinder • Sugar cubes, plastic linking cubes, and other shapes to form various objects for students to draw Procedure Orthographic Projection Activity 1: Match the isometric view with the corresponding orthographic view.

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