Solution Manual For Engineering Mechanics: Statics, 5th Edition

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Problem 1.1The value ofis 3.14159265. . .IfCisthe circumference of a circle andris its radius, deter-mine the value ofr/Cto four significant digits.Solution:CD2r)rCD12D0.159154943.To four significant digits we haverCD0.1592Problem 1.2The base of natural logarithms iseD2.718281828. . .(a)Expressetofive significant digits.(b)Determine the value ofe2tofive significant digits.(c)Use the value ofeyou obtained in part (a) to deter-mine the value ofe2tofive significant digits.[Part (c) demonstrates the hazard of using rounded-offvalues in calculations.]Solution:The value of e is:eD2.718281828(a)Tofive significantfigureseD2.7183(b)e2tofive significantfigures ise2D7.3891(c)Using the value from part (a) wefinde2D7.3892which isnot correct in thefifth digit.Problem 1.3A machinist drills a circular hole in apanel with a nominal radiusrD5 mm. The actual radiusof the hole is in the rangerD5š0.01 mm. (a) To whatnumber of significant digits can you express the radius?(b) To what number of significant digits can you expressthe area of the hole?Solution:a)The radius is in the ranger1D4.99 mm tor2D5.01 mm. Thesenumbers are not equal at the level of three significant digits, butthey are equal if they are rounded off to two significant digits.Two:rD5.0 mmb)The area of the hole is in the range fromA1Dr12D78.226 m2toA2Dr22D78.854 m2. These numbers are equal only if roundedto one significant digit:One:AD80 mm2Problem 1.4The opening in the soccer goal is 24 ftwide and 8 ft high, so its area is 24 ftð8 ftD192 ft2.What is its area in m2to three significant digits?Solution:AD192 ft2(1 m3.281 ft)2D17.8 m2AD17.8 m2Problem 1.5The Burj Dubai, scheduled for comple-tion in 2008, will be the world’s tallest building with aheight of 705 m. The area of its ground footprint will be8000 m2. Convert its height and footprint area to U.S.customary units to three significant digits.Solution:hD705 m(3.281 ft1 m)D2.31ð103ftAD8000 m2(3.218 ft1 m)2D8.61ð104ft2hD2.31ð103ft,AD8.61ð104ft2

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Engineering Mechanics: Statics by A...

Solution Manual For Engineering Mechanics: Statics, 5th Edition

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