vdoc

03.05.2023 Views

Chapter 5: E. Measurement Systems 41Table 5.2 Converting measures of area.From To Multiply by Divide bySquare inches Square feet 144Square feet Square inches 144Square feet Square yards 9Square yards Square feet 9Square yards Square inches 1296Square inches Square yards 1296Acres Square yards 4840Square yards Acres 4840Acres Square feet 43,560Square feet Acres 43,560Square miles Acres 640Acres Square miles 640Part I.ETable 5.3 Converting measures of volume.From To Multiply by Divide byCubic feet Cubic inches 1728Cubic inches Cubic feet 1728Cubic yards Cubic feet 27Cubic feet Cubic yards 27Cubic yards Cubic inches 46,656Cubic inches Cubic yard 46,656To convert weight units within the English system, use the relationships givenin Table 5.4. For example, to convert pounds into ounces, the table shows that wemultiply the number of pounds by a factor of 16. Thus, for instance, to convert twopounds into ounces:2 pounds = 2 × 16 = 32 ouncesSimilarly, to convert ounces into pounds we use the reverse operation; that is, wedivide the ounces by a factor of 16. Thus,32 ounces = 32 ÷ 16 = 2 pounds.

42 Part I: Technical MathematicsTable 5.4 Converting measures of weight.From To Multiply by Divide byPart I.EPounds Ounces 16Ounces Pounds 16Tons Pounds 2000Pounds Tons 2000Long tons Pounds 2240Pounds Long tons 2240To convert units of liquid measure within the English system, use the relationshipsgiven in Table 5.5. For example, to convert cups into tablespoons, the tableshows that we multiply the number of cups by a factor of 16. Thus, for instance, toconvert two cups into tablespoons:2 cups = 2 × 16 = 32 tablespoonsSimilarly, to convert tablespoons into cups we use the reverse operation; that is, wedivide the tablespoons by a factor of 16. Thus,32 tablespoons = 32 ÷ 16 = 2 cups.To convert pressure units within the English system, use the relationships given inTable 5.6. For example, to convert pounds per square foot into pounds per squareinch (psi), the table shows that we multiply the number of pounds per square footby a factor of 144. Thus, for instance, to convert two pounds per square foot intopounds per square inch:2 pounds per square foot = 2 × 144 = 288 pounds per square inchSimilarly, to convert pounds per square inch into pounds per square foot we usethe reverse operation; that is, we divide the pounds per square inch by a factor of144. Thus,288 pounds per square inch = 288 ÷ 144 = 2 pounds per square foot.SI/METRIC SYSTEM MEASUREMENTSTo convert length units within the Metric or SI system, use the relationships givenin Table 5.7. For example, to convert centimeters into millimeters, the table showsthat we multiply the number of centimeters by a factor of 10. Thus, for instance, toconvert two centimeters into millimeters:2 centimeters = 2 × 10 = 20 millimetersSimilarly, to convert millimeters into centimeters we use the reverse operation;that is, we divide the millimeters by a factor of 10. Thus,20 millimeters = 20 ÷ 10 = 2 centimeters.

42 Part I: Technical Mathematics

Table 5.4 Converting measures of weight.

From To Multiply by Divide by

Part I.E

Pounds Ounces 16

Ounces Pounds 16

Tons Pounds 2000

Pounds Tons 2000

Long tons Pounds 2240

Pounds Long tons 2240

To convert units of liquid measure within the English system, use the relationships

given in Table 5.5. For example, to convert cups into tablespoons, the table

shows that we multiply the number of cups by a factor of 16. Thus, for instance, to

convert two cups into tablespoons:

2 cups = 2 × 16 = 32 tablespoons

Similarly, to convert tablespoons into cups we use the reverse operation; that is, we

divide the tablespoons by a factor of 16. Thus,

32 tablespoons = 32 ÷ 16 = 2 cups.

To convert pressure units within the English system, use the relationships given in

Table 5.6. For example, to convert pounds per square foot into pounds per square

inch (psi), the table shows that we multiply the number of pounds per square foot

by a factor of 144. Thus, for instance, to convert two pounds per square foot into

pounds per square inch:

2 pounds per square foot = 2 × 144 = 288 pounds per square inch

Similarly, to convert pounds per square inch into pounds per square foot we use

the reverse operation; that is, we divide the pounds per square inch by a factor of

144. Thus,

288 pounds per square inch = 288 ÷ 144 = 2 pounds per square foot.

SI/METRIC SYSTEM MEASUREMENTS

To convert length units within the Metric or SI system, use the relationships given

in Table 5.7. For example, to convert centimeters into millimeters, the table shows

that we multiply the number of centimeters by a factor of 10. Thus, for instance, to

convert two centimeters into millimeters:

2 centimeters = 2 × 10 = 20 millimeters

Similarly, to convert millimeters into centimeters we use the reverse operation;

that is, we divide the millimeters by a factor of 10. Thus,

20 millimeters = 20 ÷ 10 = 2 centimeters.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!