Measurement Chapter

1
Measurement Chapter

• Section 1 Introduction to the Measurement
  Conversion Process

? Southwest Wisconsin Technical College 2007
2
Measurement Systems

• English (Customary)

Source WeldingDepot.com
3
Measurement Systems

• Metric

4
Measurement Systems

• English Metric

1.0625 in
26.9875 mm
5
Types of Measurements

• Length
• Area
• Volume
• Weight
• Rates

Miles per hour
6
Measurement

• Section 1 - Foundation Skills

7
Prerequisites

• 1. Multiply Fractions

8
Prerequisites
2. Cancellation
9
Prerequisites
3. One
10
Prerequisites
3. One

etc
11
Prerequisites
3. One
English Length 12 in 1 ft 1 yd 3 ft Area 1
sq ft 144 sq in Volume 1 gal 231 cu in
English - Metric Length 1 in 2.54 c m 1 yd
0.914 m Mass 1 oz 28.3 g Volume 1 qt 0.946
liters
12
Measurement Conversion

• Section 1 - Making Basic Measurement Conversions

13
Basic Conversions
1.5 ft
75 inches
Convert this to feet.
14
Basic Conversions 1 of 4

• 75 inches _____ feet
• Reference page 38

15
Basic Conversions
A product weighs 45.5 ounces. How many pounds is
it?
16
Basic Conversion 2 of 4

• 45.5 ounces _____ lbs
• Reference page 38

17
Basic Conversions
A jet flying at 75,000 ft altitude is how many
miles above the earths surface?
18
Basic Conversion 3 of 4

• 75,000 ft _____ miles
• Reference page 38

19
Basic Conversions
A piece of sheet metal has an area of 500 square
inches, but it charged to customers by the square
foot. How many square feet is this?
500 square inches
20
Basic Conversion 4 of 4

• 500 sq in _____ sq ft
• Reference page 38

21
Homework

• The Basics
• Practice Set 2
• Page 4
• 1-8

22
Homework PS 2
23
Solutions 1 - 4
24
Solution 5 - 8
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Measurement

• Section 1 Multi-step Problems

26
Multi-step Problems 1 of 3

• 2.5 days _____ seconds

27
Multi-step Problems 2 of 3

• 4.8 yards _____ inches

28
Multi-step Problems 3 of 3

• 0.25 acres _____ square inches

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Homework

• Multi-step Problems
• Practice Set 3
• Page 6
• 1 - 5

30
Homework PS 3
31
Solutions
32
Measurement

• Section 1 Convert mixed units of measure.

8 ft 4 in ?? ft
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Mixed Units 1 of 2

• 4 lbs 5 oz ______ lbs

34
Mixed Units 2 of 2

• 4 ft 7 in ______ in

35
Homework

• Mixed Units
• Practice Set 4
• Page 8, 1-6

36
Homework PS 4
37
Solutions
38
Solutions
39
Solutions
40
Measurement

• Section 1 - Rates

41
Rates

• Rates two measurements used to describe
  something

42
Rates 1 of 3
1.25
1 gallon

• 1.25/gallon _____ /fluid ounce

43
Rates 2 of 3

• 5000 for 1 ¾ hrs _____ /minute

44
Rates 3 of 3

• 65 miles/hr _____ feet/second

45
Homework

• Rates
• Practice Set 5
• Page 10, 1-5

46
Homework PS-5
47
Measurement

• Section 2 Metric System

48
Metric System

• Used worldwide
• One basic unit of measurement is used for each
  physical quantity.
• Length
• Meter
• Yards, Feet, Inches, Miles, etc
• Based on the number 10no fractions!

49
Base Units of Measure

• Length
• meter (m)
• Mass
• gram (g)
• Volume
• liter (l or L)

50
Prefixes

• If a base unit isnt suitable for your needs, a
  prefix is added to create a multiple or part of
  the base unit.

51
Prefixes
plane
bi
ferrous
non
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Metric Prefixes
kilo
base
kilo
deka
hecto
milli
centi
deci
meter
53
Metric Prefixes
centi
base
centi
deka
hecto
kilo
deci
milli
meter
54
Metric Prefixes Create Larger Units of Measure
base
deka
hecto
kilo
10x
10x
100x
10x
1000x
1
meter gram liter
55
Scale Drawing Meters to Kilometers
kilometer
hectometer
dekameter
meter
56
Metric Prefixes Create Smaller Units of Measure
base
deka
hecto
kilo
milli
centi
deci
1/10x
1/10x
1/100x
1/10x
1/1000x
10x
100x
1000x
1
meter gram liter
57
Scale Drawing Meters to centimeters
meter
decimeter
centimeter
millimeter
58
Relating Units of Measure

• How many centimeters in a meter?
• How many milligrams in a gram?
• Etc

base
centi
deka
hecto
kilo
deci
milli
59
Relating Units of Measure 1 of 3

• How do millimeters compare to centimeters?

base
centi
deka
hecto
kilo
deci
milli
1 cm
10 mm

60
Relating Units of Measure 2 of 3

• How do centimeters and meters compare?

base
centi
deka
hecto
kilo
deci
milli
1 m
100 cm

61
Relating Units of Measure 3 of 3

• How do grams and milligrams relate?

base
centi
deka
hecto
kilo
deci
milli
1 g
1000 mg

62
Making metric Conversions

• 2 approaches

63
Metric ConversionsUsing Conversion Fractions 1
of 2

• Convert 2500 grams to kilograms.

64
Metric Conversions Using Conversion Fractions 2
of 2

• Convert 3.7 liters to milliliters.

65
Metric Conversions Using Prefix Chart to Convert
1 0f 3

• Convert 2500 grams to kilograms.

66
Metric Conversions Using Prefix Chart to Convert
2 of 3

• Convert 3.7 liters to milliliters.

67
Metric Conversions Using Prefix Chart to Convert
3 of 3

• Convert 850 centimeters to kilometers.

68
Homework PS-6
69
Homework PS-6
70
Measurement

• Section 3 - Tolerance

71
Tolerance

• Manufacturing Process

58.5 kg ? 0.25 kg
3.125 ? 0.0015
12 fl oz ? 0.2 fl oz
72
Tolerance
23.75
73
Tolerance
Maximum 23.75 0.125 23.875
23.75 ? 0.125
Minimum 23.75 - 0.125 23.625
X
X
23.760
23.680
23.870
23.885
23.621
74
Tolerance
Maximum 23.875
Minimum 23.625
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Tolerance Interval
1.55 ? 0.01
1.56
0.02
1.55
1.54
Standard
Maximum
Minimum
76
Tolerance 1 of 3

• Determine the
• Upper Limit
• Lower Limit
• Tolerance Interval

0.785 0.0005 0.7855
0.785 - 0.0005 0.7845
2(0.0005) 0.001
0.785 ? 0.0005
77
Tolerance 2 of 3

• Determine the
• Upper Limit
• Lower Limit
• Tolerance Interval

20 0.15 20.15 lbs
20 - 0.00 20 lbs
0.15 lbs
Oil-Dry
0.15 lbs 0.00 lbs
20 lbs ?
20 lbs
78
Tolerance 3 of 3
2500 x 2 50 ?

• Determine the
• Upper Limit
• Lower Limit
• Tolerance Interval

2500 50 2550 ?
2500 50 2450 ?
2(50) 100 ?
2500 ? ? 2
2500 ? ? 50 ?
79
Homework PS-7
80
Homework PS-7
81
Homework PS-7
82
Homework PS-7
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Measurement

• Section 4 - Converting between measurement systems

Engine Displacement 219 cu in or 3.6 L
84
English to Metric Conversions 1 of 4

• 20 ounces _____ grams
• Reference page 38

85
English to Metric Conversions 2 of 4

• 6.2 L _____ gallons
• Reference page 38

86
English to Metric Conversions 3 of 4

• 3.4 kg _____ oz
• Reference page 38

87
English to Metric Conversions 4 of 4

• 120 km/hr _____ mi/hr
• Reference page 38

88
Homework PS-8, 9, 10
89
Homework PS-8, 9, 10
90
Homework PS-8, 9, 10
91
Homework PS-8, 9, 10
92
Homework PS-8, 9, 10
93
Homework PS-8, 9, 10
94
Homework PS-8, 9, 10
95
Homework PS-8, 9, 10
96
Measurement Chapter

• Section 5 Making Basic Measurements

97
Reading English Rulers 1 of 3
Determine the scale
98
Reading English Rulers 1 of 3
1/16 2/16 3/16 4/16 5/16 6/16 7/16
8/16 9/16 10/16 11/16 12/16 13/16
14/16 15/16 16/16
1/16 1/8 3/16 1/4 5/16 3/8 7/16
1/2 9/16 5/8 11/16 3/4 13/16
7/8 15/16 1
1/8 3/8
5/8
7/8
1/4
3/4
1/2
99
Reading English Rulers 1 of 3
100
Reading English Rulers 2 of 3
Determine the scale
8/32
16/32
32/32
101
Reading English Rulers 3 of 3
102
Reading Metric Rulers cm
12 cm
103
Reading Metric Rulers cm
0.1 cm 0.2 cm 0.3 cm 0.4 cm 0.5 cm 0.6
cm 0.7 cm 0.8 cm 0.9 cm 1 cm
104
Reading Metric Rulers cm
0.1 cm 0.2 cm 0.3 cm 0.4 cm 0.5 cm 0.6
cm 0.7 cm 0.8 cm 0.9 cm 1 cm
105
Reading Metric Rulers mm
1 mm 2 mm 3 mm 4 mm 5 mm 6 mm 7 mm 8
mm 9 mm 10 mm
106
Reading Metric Rulers mm
107
Metric Tape Measure

• Smallest Division 1mm

1 mm 2 mm 3 mm 4mm 5 mm 6 mm 7 mm
8mm 9 mm 10 mm
108
Metric Tape Measure
109
Metric Tape Measure
110
Metric Tape Measure
111
Measuring Liquids

• Graduated Cylinders

112
Measuring Liquids
Measuring Liquids

• Graduated Cylinders

113
Measuring Liquids
114
Ruler Worksheet
115
Homework PS 11, 12
116
Homework PS 11, 12
117
Homework PS 11, 12
118
Quizzes

• Do 1, 2, and 3
• Pages 41 - 43

119
The End

• Written by Peter C. Esser
• Southwest Wisconsin Technical College
• ?2006 and 2007
• pesser_at_swtc.edu