View
224
Download
5
Category
Tags:
Preview:
Citation preview
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Goodheart-Willcox Co., Inc.
Permission granted to reproduce for educational use only.
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
ContentsSection 1—Introduction to Plumbing
Section 2—Plumbing Systems
Section 3—Plumbing System Design and Installation
Section 4—Plumbing Services
Section 5—Career Development and Plumbing History
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Section 1
Introduction to Plumbing
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Chapter 4
Mathematics for Plumbers
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Objectives
Read a rule accurately to nearest 1/16.Add and subtract fractions and whole numbers.Compute pipe offsets using the Pythagorean theorem and trigonometric functions.Apply the formulas for finding area and volume.Explain and apply SI metric measure in finding length, area, volume, and temperature.Convert customary measure to metric measure.
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Measurement
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Measurement
Reading Fractions of an InchRead from nearest 1/4 divisions to get precise reading.
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
MeasurementAdding Lengths
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Measurement
Subtracting Lengths
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Measurement
Subtracting Unequal Denominators
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
MeasurementBorrowing from the Whole Number
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Changing Inches to Feet
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Changing Feet to Inches
Multiply the dimension given in feet by 12 to get the number of inches.
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Review
Identify each measurement indicated.
A.
B.
C.
D.
E. 1 11/163 1/163 13/164 9/165 1/2
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Review
Add the following dimensions:
A. 6 5/8 + 1 3/4 =
B. 3 3/16 + 4 3/4 =C. 2 8 3/8 + 4 6 15/16 =
D. 5 4 13/16 + 9 5/8 =
8 3/87 15/16
7 3 5/166 2 7/16
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Review
Subtract the following dimensions:
A. 9 3/4 – 3 3/8 =B. 1 2 1/4 – 8 1/8 =C. 12 6 3/4 – 7 4 7/8 =
D. 6 9 11/16 – 3 10 13/16 =
6 3/86 1/8
5 1 7/82 10 7/8
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Computing Pipe Offsets
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Computing Pipe Offsets
Pythagorean Theorem
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Computing Pipe Offsets
Pythagorean Theorem (continued) Pythagorean theorem applies to all right triangles.
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Computing Pipe OffsetsTrigonometric Functions
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Computing Pipe Offsets
Trigonometric Functions (continued)
Theoretical Length vs. Actual Length
Actual length of pipe = Theoretical length – Laying length of fittings
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Computing Pipe Offsets
Simple Methods
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Computing Pipe Offsets
Plumber’s Rule
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Review
Find the travel of the pipe required to join two pipes at a 45 angle that are offset at each of
the following distances:
A. 30 =
B. 18 =C. 1 3 =D. 2 9 =
42.42 or 4 7/1625.45 or 25 7/16
22.21 or 22 1/446.66 or 46 11/16
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Computing Area and Volume
Square or Rectangular Surface
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Computing Area and Volume
Area of Circles
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Computing Area and Volume
Volume of a Rectangular Tank
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Computing Area and Volume
Volume of a Cylindrical Tank
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Review
Compute the area of the following:
A. 6 6 square =
B. 4 9 12 3 rectangle =
C. 8 6 diameter circle =
D. 4 9 radius circle =
42.25 sq. ft.58.19 sq. ft.
2,289 sq. in.
10,202 sq. in.
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Review
Compute the volume of these tanks:A. B.
63 cu. ft.
615.44 cu. ft.
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Computing Slope of Pipe
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Metric MeasurementLength
(Goodheart-Willcox Publisher)
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Metric MeasurementDry Volume
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Metric MeasurementLiquid Measures
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Metric Measurement
Temperature
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Review
Identify the metric units of measurement used when measuring:
A. Distance:
B. Liquid volume:
C. Dry volume:
D. Temperature:
meter, centimeter, millimeterliter or cubic centimeter
cubic meterCelsius or Kelvin
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
Review
Convert each of the following customary measurements to the equivalent metric
measurement.A. Distance: 1 3 B. Liquid measure: 22 cu. ft. C. Dry volume: 135 cu. ft. D. Temperature: 85 F
68.44 cm.623.04 L
3.77 cu. meters29.7 Celsius
Copyright Goodheart-Willcox Co., Inc. May not be posted to a publicly accessible website.
End of Chapter 4
Recommended