대학교재 자료실 Advanced.Engineering.Mathematics.10th.Edition.BD 업로드





대학교재 자료실 Advanced.Engineering.Mathematics.10th.Edition.BD

공업수학 10판 교재 미국판이라 표지가 조금 달라보일수도있습니다^^

Systems of Units. Some Important Conversion Factors
The most important systems of units are shown in the table below. The mks system is also known as the International System of Units (abbreviated SI), and the abbreviations sec (instead of s), gm (instead of g), and nt (instead of N) are also used.

System of units cgs system mks system Engineering system

Length centimeter (cm) meter (m) foot (ft)

Mass gram (g) kilogram (kg) slug

Time second (s) second (s) second (s)

Force dyne newton (nt) pound (lb)

1 inch (in.) 1 yard (yd)

2.540000 cm 3 ft 91.440000 cm 6080 ft 1.853184 km

1 foot (ft)

12 in.

30.480000 cm 5280 ft 1.609344 km

1 statute mile (mi)

1 nautical mile 1 acre

4840 yd2

4046.8564 m2 231/128 in.3

1 mi2

640 acres

2.5899881 km2

1 fluid ounce 1 U.S. gallon

1/128 U.S. gallon 4 quarts (liq)

29.573730 cm3 3785.4118 cm3 4546.087 cm3

8 pints (liq)

128 fl oz

1 British Imperial and Canadian gallon 1 slug 14.59390 kg 4.448444 nt

1.200949 U.S. gallons

1 pound (lb)

1 newton (nt) 1054.35 joules 1 joule

105 dynes

1 British thermal unit (Btu) 1 calorie (cal) 4.1840 joules

107 ergs

1 kilowatt-hour (kWh) 1 horsepower (hp) 1 kilowatt (kW) °F °C ? 1.8

3414.4 Btu

3.6 ? 106 joules 178.298 cal/sec 0.74570 kW

2542.48 Btu/h 1000 watts

3414.43 Btu/h

238.662 cal/s 1° 60 3600 0.017453293 radian

32

For further details see, for example, D. Halliday, R. Resnick, and J. Walker, Fundamentals of Physics. 9th ed., Hoboken, N. J: Wiley, 2011. See also AN American National Standard, ASTM/IEEE Standard Metric Practice, Institute of Electrical and Electronics Engineers, Inc. (IEEE), 445 Hoes Lane, Piscataway, N. J. 08854, website at www.ieee.org.

Differentiation
(cu) (u (uv) u ( ) v du dx v) uv uv v du dy ? dy dx
2

Integration
uv dx x n dx 1 x dx eax dx sin x dx uv xn 1 n 1 ln x 1 ax ae cos x sin x c c c tan x cot x c c x a x a c c c c c c c c c u v dx (by parts) c (n 1)

cu u




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