WEBVTT

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Rains . My name is Gunner Sergeant

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Winter . In this video , we will cover

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math for engineers , terms ,

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definitions , and data conversions .

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Engineers are located throughout the

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marine Air Ground task force , also

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known as the magtaf , to provide

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mobility , counter mobility ,

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survivability , and general engineering

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support to units as they accomplish

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their respective missions . The ability

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to be able to quickly and accurately

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estimate the resources needed to

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provide the support required can affect

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mission success or failure .

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The purpose of this period of

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instruction is to familiarize you with

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mathematical terms and definitions as

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well as how to convert data needed for

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a wide variety of engineer tasks . You .

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Specific terms are used to describe

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mathematical equations or functions for

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the engineer's understanding of them ,

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and how they relate to task activities

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will assist in determining what will

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need to be done to acquire the

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appropriate answer . Terms also need to

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be known so an individual understands

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what is being discussed . These terms

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are as followed . Base in plain

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geometry or solid geometry , the bottom

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of a figure . If the top is parallel to

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the bottom as in a trapezoid or prism ,

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both the top and the bottom are called

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bases . Hi The

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shortest distance between the base of a

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geometric figure and its top . Whether

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that top is an opposite vertex , an

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apex , or another base .

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Hypotenuse , the longest side of a

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right triangle opposite the right

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triangle . Area the extent or

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measurement of a surface or piece of

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land . Volume the amount

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of space that a substance or object

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occupies or that is enclosed within a

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container . Average refers to the

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arithmetic mean . In general , however ,

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the average could be any single number

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that represents the center of a set of

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values . Exponent X in the

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expression AX for example , 3

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is the exponent in 2 to the 3 power .

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Truncating a method of approximating a

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decimal number by dropping all decimal

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places past a certain point without

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rounding . For example ,

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3.14159265

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can be truncated to

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3.14 . Pie

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The ratio of the circumference of a

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circle to its diameter i approximately

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equals 3.14 .

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Diameter a straight line passing from

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side to side through the center of a

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body or figure , especially a circle or

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sphere . Radius a straight

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line from the center to a point on the

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circumference of a circle or sphere .

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Circumference , the enclosing boundary

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of a curved geometric figure , for

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example , a circle . Squared

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or square root , a non-negative number

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that must be multiplied times itself to

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equal a given number . The square of X

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is X2d . The square root of X is

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written X to the 12 power .

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Cub or cubed root , a number that must

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be multiplied times itself 3 times to

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equal a given number . The cube of X

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is X to the power . The cube root of X

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is written or X to the 1/3 power .

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Fraction a ratio of numbers or

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variables . Fractions may not have

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denominators of zero . Improper

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fraction , a fraction which has a

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larger numerator than denominator . For

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example , 12/7 is

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an improper fraction . Pitch

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the steepness of a slope , especially a

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roof . A ratio between rise over

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run . Slope a number

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which is used to indicate the steepness

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of a line as well as indicating whether

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the line is tilted uphill or downhill .

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Degree a unit of angle measure equal to

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1/360

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for a complete revolution . There are

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360 degrees in a circle . Degrees are

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indicated by the degree symbol , so

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35 degrees means 35 degrees .

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Now that we have covered some terms and

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their definition , let's learn how to

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convert data if required to be used in

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a more efficient manner . During the

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course of conducting engineer

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operations , the data that is received

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may not be in the preferred format to

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be able to execute the mission . For

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example , a measurement may be in feet ,

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vice feet and inches , or just inches .

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1.458 ft versus 1

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ft 5.5 inches or

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17.5 inches . For this

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reason , knowing how to convert the

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data received into what is desired is

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important . Note conversion factors are

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contained in MCRP 3 t

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34.1 engineer field data . Chapter

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14 , page 30 . And in the

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breecher's explosive charge logbook

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page 10 . Convert feet to feet

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and inches to convert a number that

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represents the total foot measure that

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has a decimal , do the following

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procedures . Data received

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equals 5.687 ft .

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The number left of the decimal is whole

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feet . Move it aside , 5 ft .

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Multiply the number to the right of the

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decimal point by 12 . This will give

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you the number of whole inches to the

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left of the decimal .

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0.687 times 12 .

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Equals 8.244 inches .

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Next , multiply the number to the right

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of the decimal when you found the whole

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inches by 16 . This will give you

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the whole 16th to the left of the

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decimal .

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0.244 times

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16 equals

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3.90416 .

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Last combine the answer into the proper

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format to display the measurement in

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feet and inches . 5 ft

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8 and 3/16 inches .

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Convert feet to meters or meters to

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feet . It is common in many reference

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publications that meters and feet are

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used to show dimensional measurements .

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Use the following formulas to convert

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the information provided as required .

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Feet to meters feet times

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0.3048 equals

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meters . Meters to feet , meters

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times 3.2808 equals

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feet . Convert feet to miles or

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miles to feet . There are

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5280 ft in one

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mile . Use the following formulas to

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convert the information provided to the

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measurement required . Feet to miles

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feet divided by

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5280 equals miles .

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Miles to feet Miles times

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5280 equals feet .

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Convert square feet to square yards . A

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square yard is 3 ft long by 3 ft wide ,

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or 9 square feet . So once you have

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determined the square feet of an area ,

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you can use the following formulas to

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determine the square yards .

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Square feet divided by 9 equals

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square yards . Convert square feet to

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acre . An acre is

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43,560 square feet .

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So once you've determined the square

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feet of an area , you can use the

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following formula to determine the

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acres . Square feet divided

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by

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43,560

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equals acre . Convert cubic

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feet to cubic yards . A cubic yard is

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3 ft long by 3 ft wide by 3 ft

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high , or 27 cubic feet .

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So once you have determined the cubic

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feet of an area , you can use the

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following formula to determine the

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cubic yards . Cubic feet divided

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by 27 equals cubic

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yards . Through the course of this

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lesson we have discussed terms ,

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definitions , and converting data .

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With this information , you have

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everything you need in order to

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successfully handle the mathematical

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equations that are present in the

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common engineer noncommissioned

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officer's course .