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MEASUREMENTS AND INSTRUMENTS

A. MEASUREMENTS

2A1. Fundamental and standard units. In order to understand and operate an engine efficiently it is necessary for the operator to be familiar with various units of measurement and the instruments by which they are recorded. As soon as any branch of science is developed to any extent, attempts are made to measure and evaluate the quantities and conditions found to exist. To do this a unit must be selected for each measurable quantity. These units are derived from a set of basic units known as fundamental units. The fundamental units are units of force, length, and time.

Fundamental units should not be confused with standard units. Standard units of measurement are units that are established and legalized by the government of a country. Whenever standardized units are established, the fundamental units are expressed in terms of the standard units to secure uniformity of procedure and comparison.

2A2. The metric system of measurement. The metric system of measurement is used generally throughout the world, particularly in Europe. It is not in general use in the United States. Because the metric system is a decimal system, it is less subject to arithmetical error than the other common system, the English system of measurement. Since the metric system uses the simple multiplier, 10, it is easy to establish the value of the unit of measure as denoted by the prefix in the name of the unit. The table below explains how the prefix denotes the value of the unit of measure and gives examples of the use of the prefix.

 Prefix Example micro (meaning millionth) micron, micrometer milli (meaning thousandth) millimeter, milligram centi (meaning hundredth) centimeter, centigram deci (meaning tenth) decimeter, decigram deka (meaning ten) dekameter hecto (meaning hundred) hectometer kilo (meaning thousand) kilometer

In the metric system the fundamental units of force, length, and time are expressed in the standard units of kilograms, meters, and seconds.

Such units as length, volume, and mass are easily converted to the next higher denomination by using the simple multiplier, 10. For example:

 Units of Length 10 millimeters = 1 centimeter 10 centimeters = 1 decimeter 10 decimeters = 1 meter 1000 meters = 1 kilometer Units of Weight 10 milligrams = 1 centigram 10 centigrams = 1 decigram 10 decigrams = 1 gram 1000 grams = 1 kilogram 1000 kilograms = 1 metric ton

The metric system has been legalized for use in the United States and is frequently used in scientific and laboratory work, because the smaller units facilitate work of extreme accuracy and the use of the simple multiplier, 10, makes computation of work quick and easy.

2A3. The English system of measurement. The English system of measurement is by far the most commonly used in engineering work in the United States. The system is given wide usage primarily because of precedent rather than because of any recommending features such as those encountered in the metric system.

In the English system the fundamental units of force, length, and time are expressed in the standard units of foot, pound, and second. Unlike the metric system, the English system has no common multiplier and the subdivisions of the units of measurement bear no common relation to each other. For example, below are given the units of length and weight and the relationship of the various subdivisions of each.

 Units of Length 12 inches = 1 foot 3 feet 1 yard 5 1/2 yards = 1 rod (16 1/2 feet) Units of Weight 16 ounces = 1 pound 2000 pounds = 1 ton (short) 2240 pounds = 1 ton (long)

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Since all forms of matter are measurable in terms of the fundamental units of force, length, and time, it is possible to combine the units of measurement to express measurement of quantities encountered in various engineering and scientific work. In the following sections, the English and metric units of measurement in engineering work are discussed. In the description of each, it is easy to see how each of these units of measurement may be basically reduced to fundamental units.

2A4. Unit of length. Length is usually defined as the distance between two points. In the English system it is expressed in inches, feet, yards, rods, miles, or fractions thereof. The accuracy required in engineering work makes it a general practice for engineers to measure length in thousandths of an inch. Thus, various tolerances, clearances, and minute measurements are expressed by decimal divisions of an inch in thousandths, such as .125 (one hundred twenty five thousandths).

In a problem involving measurement of area, the area of a regular shape may be expressed by the product of two measurements of length. Thus, a square 3 feet by 3 feet has 9 square feet of area. Likewise, a problem of measuring volume, where the shape is adaptable to linear measurement, may be expressed by the product of three measurements of length. Thus, a cube 3 feet by 3 feet by 3 feet has 27 cubic feet of volume.

2A5. Conversion factors of length. Often when using the English system in engineering work it is necessary to convert measurements to the metric system and vice versa. To change units of one system to those of another it is necessary to have a conversion factor that establishes the relation between the two systems for the same quantity. The most commonly used conversion factors between the English and metric systems are:

 English System Metric System 1 inch = 2.54 centimeters 39.37 inches = 1 meter

All English system measurements of length may be reduced to inches and all metric system measurements of length to centimeters. Knowing the basic conversion factor, inches can be converted to centimeters by multiplying inches

by 2.54, and centimeters converted to inches by dividing centimeters by 2.54,

2A6. Unit of force. Force is the push, pull, or action upon a body or matter at rest which tends to give it motion. In the English system, the unit of force is the pound. In the metric system, the unit of force is the kilogram.

2A7. Unit of work. The work done upon a body is equal to the average force acting upon the body multiplied by the distance through which the body is moved as a result of the force. In the English system, the unit of work is the foot-pound. For example, if a force of 500 pounds acts upon a body to move it 10 feet, 5000 foot-pounds of work have been done upon this body.

2A8. Units of mass and weight. The mass of a body may be defined as the quantity of matter in a body without regard to its volume or the pull of gravity upon it. The term mass must be distinguished from the term weight which is the measurement of the force of gravity acting upon body at any given point upon the earth's surface. Weight varies with locality, but mass is considered constant. The student must not confuse mass with weight although the units are the same for both. The standard kilogram is defined as the mass of a certain piece of platinum iridium in possession of the International Bureau of Weights and Measures. The fundamental unit of mass, the gram, is one one-thousandth of the standard kilogram.

 English System Metric System 1 ounce = 26.35 grams 1 pound = 0.454 kilograms 1 gram = 0.0353 ounces 1 kilogram = 2.205 pounds

Kilograms are converted into pounds by multiplying the number of kilograms by 2.205, and conversely pounds are converted into kilograms by multiplying the number of pounds by 0.454. For example, 1 metric ton (1000 kilograms) equals 1000 x 2.205 or 2205 pounds.

2A9. Unit of pressure. Pressure is defined as force per unit area acting against a body. In the English system, the unit of pressure may be expressed as pounds per square inch or pounds per square foot.

Since all forms of matter have weight, the air of the earth's atmosphere has weight. At sea

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level, the weight of air exerts a pressure of 14.7 pounds per square inch and has a weight of approximately 0.08 pounds per cubic foot. At higher altitudes, the pressure, and therefore the weight, becomes less.

Gage pressure. Pressure gages are commonly used to determine the pressure existing or to record the peak pressure attained within a container. Most pressure gages make no allowance for atmospheric pressure and normally register zero at existing atmospheric pressure.

Absolute pressure. In practically all pressure problems, atmospheric pressure is present and must be accounted for. When atmospheric pressure is added to the gage or indicated pressure, the total obtained is the absolute pressure. Thus, absolute pressure is the total pressure recorded from a zero point. For example, the scavenging air pressure in a cylinder is 4 psi. If the cylinder is at sea level, the atmospheric pressure of 14.7 psi must be added, making the total 18.7 psi absolute pressure.

2A10. Unit of power. Work has been defined as force acting through a given distance. Power may be defined as the amount of work performed during a unit period of time. The unit of power used by engineers is the horsepower. One horsepower (hp) equals the amount of work necessary to raise 33,000 pounds through a distance of 1 foot in 1 minute. One horsepower also equals the amount of work necessary to raise 550 pounds through a distance of 1 foot in 1 second.

Example: How many horsepower are required to raise a weight of 12,000 pounds through a distance of 22 feet in 2 minutes?
Solution: (12,000 x 22)/(2 x 33,000) = 4 horsepower

2A11. Unit of temperature. Temperature may be defined as the measure of intensity of heat. In simple language, temperature is the measure of hotness (usually referred to as high temperature) or coldness (usually referred to as low temperature) of a body or matter.

Temperature is measured and expressed in degrees according to established standard scales known as the Fahrenheit and centigrade scales. The Fahrenheit scale is established with a range

of 180 degrees or graduations between the freezing point and the boiling point of pure water at sea level. On the Fahrenheit scale the freezing point of water is fixed at 32 degrees and the boiling point of water at 212 degrees. The centigrade scale is established with a range of 100 degrees or graduations between the freezing point and the boiling point of water at sea level. On the centigrade scale the freezing point of water is fixed at 0 degrees and the boiling point of water at 100 degrees.

a. Absolute zero temperature. Absolute zero temperature is theoretically the lowest temperature that can be obtained. It is that temperature at which all molecular motion ceases entirely and at which point the given matter possesses no heat whatsoever. Absolute zero temperature has been determined to be -273 degrees C and -459.6 degrees F. From a practical standpoint, absolute zero is unattainable.

Expressed as a simple equation, the conversion factor is:

F = 9/5 C + 32
C = 5/9 (F - 32)

Example: How many degrees centigrade are 86 degrees Fahrenheit?
Solution: C = 5/9 x (86 - 32) = 30
degrees C.

Example: How many degrees Fahrenheit are 35 degrees centigrade?
Solution: F = 9/5 x 35 + 32 = 95
degrees F.

2A12. Unit of heat. Heat is a form of energy, and the English system unit of heat is the mean British thermal unit (Btu). The British thermal unit is the amount of heat necessary to raise the temperature of 1 pound of water 1 degree F at sea level atmospheric pressure.

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When 1 pound of fuel oil is completely burned, a certain number of Btu of heat are given off. The quantity of heat liberated by the complete combustion of 1 pound of fuel oil is known as the fuel oils heating value.

Since heat is a form of energy, it cannot be destroyed but may be converted into mechanical energy. One Btu of heat is equivalent to 778 foot-pounds of work. Thus, the conversion factor for power to heat is:

1 hp = 33,000 / 778 = 42.42 Btu per minute

2A13. Unit of time. The standard unit of time in both the English system and the metric system is the second. The second is defined as 1/86,400 part of a mean solar day. The mean solar day is obtained by taking the average length of all the days of the year, a day being measured from the noon of one day to the noon of the next.

 The multiples of the units of time are: 60 seconds = 1 minute 60 minutes = 1 hour 24 hours = 1 day

2A14. Units of velocity. Velocity may be defined as the rate of movement of a body. If a body moves a specified distance during a specified time at a uniform speed, the velocity may be determined by dividing the distance by the time. There are two types of velocity normally encountered, linear and angular. If the velocity is linear, the movement is in a straight line and the velocity may be expressed in terms such as feet per second, feet per minute, or miles per hour. If the velocity is angular, the movement of the body is rotary or about a central axis, and the velocity may be expressed in revolutions per minute or revolutions per second. In engineering work it is common practice to rate the velocity of shafts, wheels, gears, and other rotating parts in revolutions per minute (rpm).

B. INSTRUMENTS

2B1. General. In the previous section we have defined and explained the fundamental units of measurement and the standard units of measurement for both the English and the metric systems. It is the purpose of this section to enumerate and describe the various instruments by which these measurements are computed and recorded.

2B2. Instruments for measuring length. a. General. In engineering and machine work there are several instruments for measuring length, area, and volume. Since the measurement of area and volume often can be obtained by compounding simple measurements of length, instruments used for computing area and volume are also described here.

b. Rulers and tapes. The most common method of obtaining simple measurements of length is by the ruler or tape (Figure 2-1). A ruler may be graduated into feet, inches, or fractions thereof. Rulers and tapes used in engineering work are most frequently made of metal and the fractions of inches may be graduated to subdivisions as small as 1/64 or 1/100 of an inch. Care should be exercised in using metal rulers and tapes, especially if extreme accuracy is required. The margin of error due to

expansion or contraction of the instrument from changes in temperature can be considerable.

c. Calipers. Engineers and machinists frequently use calipers to secure accurate measurements of inside and outside diameters. Figure 2-2 shows how various caliper settings may be taken and how the registered setting of the calipers may be measured by a ruler or by a micrometer.

d. Micrometer calipers. Engineers frequently rely on the micrometer caliper (Figure 2-3) to obtain measurements accurate to 1/1000 of an inch. This instrument is particularly useful for measuring relatively short lengths and the diameter of journals or cylinders. The common commercial micrometer consists of a frame; an anvil, or fixed measuring point; a spindle; a sleeve, or barrel; and a thimble. The spindle has threads cut 40 to the inch on the portion that fits inside the sleeve. The thimble fits over the end of the sleeve, and rotating the thimble turns the spindle.

Rotating the thimble until the spindle has made one complete turn moves the spindle 1/40 of an inch, which is equal to 0.025 inch. The number of turns the spindle makes is indicated by graduations on the sleeve. Each graduation

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 Figure 2-1. Common ruler, machinist's ruler, and steel tape.
 Figure 2-2. Types of calipers and methods of measurement.
 Figure 2-3. Micrometer.
 26 a bridge gage in use. The upper cap of the main bearing has been removed and the bridge gage has been placed over the journal as shown. A feeler gage is then inserted between the tip of the bridge gage and the journal. The measurement recorded by the feeler gage is then compared to the original measurement taken at the time the engine was installed or with previous bridge gage readings. Thus, the amount of bearing wear can be determined. Bridge gages must be handled with great care. If the tip on the gage or the supporting surfaces becomes burred, worn, or distorted, the gage will give an inaccurate reading. Figure 2-4. Feeler gage.
 Figure 2-5. Using bridge gage and feeler gage to determine clearance.
 27 2B3. Instruments for measuring temperature. a. General. As previously stated, temperature is a measure of the intensity of heat, and the measurements may be made with one of several instruments. The instruments most commonly used for measuring temperatures below 1000 degrees F are the mercury thermometer, the thermocouple pyrometer, and the electrical resistance thermometer. For taking temperature measurements above 1000 degrees F, the most commonly used instrument is the thermocouple pyrometer. In taking measurements with thermometers and pyrometers, the operator should bear in mind the possibility of errors in measurement and what effect they may have on his particular problem. An error is the difference between the observed value and the true value and may be expressed as a percentage. Some errors inherent in an instrument may be avoided by periodically checking the calibration of an instrument with one of known accuracy. Sometimes, errors due to the aging or failure of materials in the instrument are unavoidable, such as the deterioration of glass due to aging and repeated stress. A check of the instrument will indicate the percentage of error present. b. Liquid-in-glass thermometers. In the type of thermometer in which a hollow glass stem is filled with a liquid (Figure 2-6) the liquid most commonly used is mercury, although some thermometers are filled with alcohol or pentane. In some cases, where extremely low temperatures are to be recorded, a gas may be used. In the construction of the common mercury thermometer, care is used in sealing the stem to insure that a vacuum exists above the column of mercury in the stem. Otherwise, the mercury would have to compress the air in the stem, and a false reading would result. To graduate a thermometer (Figure 2-7) the bulb and a portion of the stem holding the mercury are submerged in melting ice and the point at which the mercury stands in the tube is marked 32 degrees if the thermometer is Fahrenheit, or 0 degrees if the thermometer is centigrade. Next, the bulb and stem are placed in a closure in which they are surrounded by steam rising off boiling water at sea level atmospheric pressure. The position of the top of the column of mercury is then marked at 212 degrees if the thermometer is Fahrenheit, or at 100 degrees if the
 Figure 2-6. Fahrenheit and centigrade thermometers.