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and that 985 kilonewtons [kN] of dirt are removed from the ground for the pool. Determine the depth of the pool in units of meters

and that 985 kilonewtons [kN] of dirt are removed from the ground for the pool. Determine the depth of the pool in units of meters

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please show all your formulas step by step. And make sure you write all your units please. Formula sheet is attached
You have decided to spend some spare time improving your yard by installing a swimming pool. Your yard will allow for a pool with an area of 7 meters [m] by 3 meters [m] Assume the specific gravity of dirt is 2.1 [-] and that 985 kilonewtons [kN] of dirt are removed from the ground for the pool. Determine the depth of the pool in units of meters [m]
Transcribed Image Text:You have decided to spend some spare time improving your yard by installing a swimming pool. Your yard will allow for a pool with an area of 7 meters [m] by 3 meters [m] Assume the specific gravity of dirt is 2.1 [-] and that 985 kilonewtons [kN] of dirt are removed from the ground for the pool. Determine the depth of the pool in units of meters [m]
43.59 Unit Conversion Table SI Prefixes and Dimensions Table Angle I rad E rad Power I hp SI Prefixes Example: 1 milligram (mgl - 1 x 10 grams (K 57.3 deg deg 745.7 BTU / h Example: 1 Megajoule (MJ] - 1x 10 joules J Numbers Greater Than One 180 3.412 Numbers Less Than One 0.00134 hp cal / min A Ib / Prefix Abreviation Prefi I W Power of 10 Prefix Power of 10 Prefis Area 14.34 Abbreviation 4,047 0.00156 1 acre m 0.7376 deci- deca da mi -2 centi- 2 hecto- 1 m 640 Pressure acre -3 milli- m kilo o- k 1.01325 bar Energy I BTU I cal -6 Mega M 33.9 micro 1,055.06 29.92 in Hg mm Hg -9 nano Giga- 4.184 I atm 760 -12 pico- 12 Tera- 0.239 cal 101,325 Pa -15 femto 15 Peta- P 9.48x 10 BTU 0.7376 3,600,000 J 14.7 psi t Iby -18 atto- 18 Exa- I kW h Time -21 Zetta- zepto 21 24 Force -24 yocto 24 Yotta- Y 60 min 0.225 Ib I min I yr IN 60 1x 10 dyne Iby Fundamental Dimensions and Base SI Units 365 I kip 1,000 Temperature Change I electric current A ampere N amount Imoll mole Length "C J light intensity [ed] candela T time |s) second Im 3.28 IK 1.8 "F 1 km 0.621 mi 1 in 1.8 "R L length [m] meter e temperature [K) kelvin 2.54 12 in Volume M mass [kgl kilogram 5,280 3.785 L 1mi I gal 1.609 km qt Common Derived, Named Units in the SI System Dimension SI Unit Derived From 1 yd 1,000 em' or ce 0.264 Base SI Units Dimension gal IL Dimensions Mass 0.0353 ML F-ma newton [N] Force imass jacceleration IN- 1 I kg I Ib. I slug 1 ton (metric 1 ton (US 2.205 Ib 33.8 Force (F) 16 I ml I m em' or ec 32.2 Ib 1,000 L ML? E-Fd Energy (forece) distance) 1J-1Nm -1 2,204.62 Ib Energy (E) joule 16 pt 1 qt 2,000 Ib 2 pt ML? P-E/t (P) watt (W] Pwereneng / time 1w -1!-1 Power Named Units 1 (A s) / V 1 (V s) / A farad IF pascal 1 Pa IN/m M 1 Pa - 1-1 P-P/A Pressure (P) pascal Pa] Pressure force) / (area) henry 1H poise 1P 1g/ fem s) 1 cm /s LT2 hertz 1 Hz stoke 1St 1 V V-P/I 1 v -1-1 ML joule 1J INm volt 1W/A Voltage (V) volt M Voltage - (power) / teurrent newton 1 (kg m) / s 1 W IN watt 1J/s ohm 1V/A Thinking Like an Engineer de Active Learning Approsch Thinking Like an Engineer 4e An Aetive Learning Approach an P d An C h C Geometric Formulas and Physical Constants Table Equations Table (in order of appearance in textbook Geometric Formulas Distance, Velocity and Acceleration Newton's Second Law 8.1 Weight (8.2) Rectangle b Rectangular Parallelepiped d-vt F-m a W =mg Volumea be Vat Area ab Perimeter - 2 a+2b Surface Area2 (abaebe) Density 8.3] Specifie Gravity 8.3 Specifie Weight [8.3] m w SG - Pobject Pwater Cirele Sphere Area Volume -r V V - Molecular Weight 8.4 Molarity Temperature F to "C 18.5 Circumference- 2r Surface Area-4 m MW = M = T(*F] – 32 T("C] – 0 Diameter 2r 180 100 Triangle Right Circular Cone Temperature: "C to K 8.5 Temperature: "P to "R 8.5 Pressure [8.6) F Area -bH Volume -wrH T (K] - T["C] + 273 T('R] - T ("F] + 460 Torus Right Circular Cylinder Pancal's Law Hydestatie Presure R Pressure: Total (8.6 deal Gas Law 18.7) Volume H Paydro = PgH Potal - Pydro + Purface PV-n RT Volume - 2 Rr Lateral Surface Area - 2r H Energy: Work 8.8) Energy Potential [8.8 Energy: Kinetie, translational 8.8 Physical Constants [Value and Units] W - F Ax PE - mg AH KE == m Av speed of light in a vacuum 3x 10 Energy: Thermal 18.8 Power (8.9 Power 8.9 speed of sound in air (20 C 343.59 Q-m Cp AT P== Pn = Pout + Post Euler number (base of natural logarithm) 2.71828.. elementary charge of an electron 1.602 x 10C Efficiency 18. 10] Current, relaed to charge 8.11 Ohm's Law of Resistance 8.11 S Pout Pn F Faraday's constant 9.65 x 10 Q-It V-IR 9 polden ratio 1.61803.. Joule's First Law of Power 18.11] Capacitance, related to charge 8.11 Energy: Capacitor 8.11 g acceleration due to gravity 9.8 on Earth; 1.6on Earth's Moon G gravitational constant 6.67 x 10 N 1 P-VI- -2R R Q-Cv E cV? k 1.38065 x 10 Inductance 18.11] Energy: Inductor 18.11| Hooke's Law for Spring [12.3] Boltzmann constant 6.022 x 10 IP NA Avogadro number V=L. dt F-kx mal * ratio of circle circumference to diameter 3.14159.. Newton's Law of Viscosity 12.3 Kinematic Viscosity (12.3 Klastie Materials Yung Mduhan (13 R ideal gas constant 0.08206 - 8314 melK Δν Ay 1-1본-1000분 62.4는 P density of water
Transcribed Image Text:43.59 Unit Conversion Table SI Prefixes and Dimensions Table Angle I rad E rad Power I hp SI Prefixes Example: 1 milligram (mgl - 1 x 10 grams (K 57.3 deg deg 745.7 BTU / h Example: 1 Megajoule (MJ] - 1x 10 joules J Numbers Greater Than One 180 3.412 Numbers Less Than One 0.00134 hp cal / min A Ib / Prefix Abreviation Prefi I W Power of 10 Prefix Power of 10 Prefis Area 14.34 Abbreviation 4,047 0.00156 1 acre m 0.7376 deci- deca da mi -2 centi- 2 hecto- 1 m 640 Pressure acre -3 milli- m kilo o- k 1.01325 bar Energy I BTU I cal -6 Mega M 33.9 micro 1,055.06 29.92 in Hg mm Hg -9 nano Giga- 4.184 I atm 760 -12 pico- 12 Tera- 0.239 cal 101,325 Pa -15 femto 15 Peta- P 9.48x 10 BTU 0.7376 3,600,000 J 14.7 psi t Iby -18 atto- 18 Exa- I kW h Time -21 Zetta- zepto 21 24 Force -24 yocto 24 Yotta- Y 60 min 0.225 Ib I min I yr IN 60 1x 10 dyne Iby Fundamental Dimensions and Base SI Units 365 I kip 1,000 Temperature Change I electric current A ampere N amount Imoll mole Length "C J light intensity [ed] candela T time |s) second Im 3.28 IK 1.8 "F 1 km 0.621 mi 1 in 1.8 "R L length [m] meter e temperature [K) kelvin 2.54 12 in Volume M mass [kgl kilogram 5,280 3.785 L 1mi I gal 1.609 km qt Common Derived, Named Units in the SI System Dimension SI Unit Derived From 1 yd 1,000 em' or ce 0.264 Base SI Units Dimension gal IL Dimensions Mass 0.0353 ML F-ma newton [N] Force imass jacceleration IN- 1 I kg I Ib. I slug 1 ton (metric 1 ton (US 2.205 Ib 33.8 Force (F) 16 I ml I m em' or ec 32.2 Ib 1,000 L ML? E-Fd Energy (forece) distance) 1J-1Nm -1 2,204.62 Ib Energy (E) joule 16 pt 1 qt 2,000 Ib 2 pt ML? P-E/t (P) watt (W] Pwereneng / time 1w -1!-1 Power Named Units 1 (A s) / V 1 (V s) / A farad IF pascal 1 Pa IN/m M 1 Pa - 1-1 P-P/A Pressure (P) pascal Pa] Pressure force) / (area) henry 1H poise 1P 1g/ fem s) 1 cm /s LT2 hertz 1 Hz stoke 1St 1 V V-P/I 1 v -1-1 ML joule 1J INm volt 1W/A Voltage (V) volt M Voltage - (power) / teurrent newton 1 (kg m) / s 1 W IN watt 1J/s ohm 1V/A Thinking Like an Engineer de Active Learning Approsch Thinking Like an Engineer 4e An Aetive Learning Approach an P d An C h C Geometric Formulas and Physical Constants Table Equations Table (in order of appearance in textbook Geometric Formulas Distance, Velocity and Acceleration Newton's Second Law 8.1 Weight (8.2) Rectangle b Rectangular Parallelepiped d-vt F-m a W =mg Volumea be Vat Area ab Perimeter - 2 a+2b Surface Area2 (abaebe) Density 8.3] Specifie Gravity 8.3 Specifie Weight [8.3] m w SG - Pobject Pwater Cirele Sphere Area Volume -r V V - Molecular Weight 8.4 Molarity Temperature F to "C 18.5 Circumference- 2r Surface Area-4 m MW = M = T(*F] – 32 T("C] – 0 Diameter 2r 180 100 Triangle Right Circular Cone Temperature: "C to K 8.5 Temperature: "P to "R 8.5 Pressure [8.6) F Area -bH Volume -wrH T (K] - T["C] + 273 T('R] - T ("F] + 460 Torus Right Circular Cylinder Pancal's Law Hydestatie Presure R Pressure: Total (8.6 deal Gas Law 18.7) Volume H Paydro = PgH Potal - Pydro + Purface PV-n RT Volume - 2 Rr Lateral Surface Area - 2r H Energy: Work 8.8) Energy Potential [8.8 Energy: Kinetie, translational 8.8 Physical Constants [Value and Units] W - F Ax PE - mg AH KE == m Av speed of light in a vacuum 3x 10 Energy: Thermal 18.8 Power (8.9 Power 8.9 speed of sound in air (20 C 343.59 Q-m Cp AT P== Pn = Pout + Post Euler number (base of natural logarithm) 2.71828.. elementary charge of an electron 1.602 x 10C Efficiency 18. 10] Current, relaed to charge 8.11 Ohm's Law of Resistance 8.11 S Pout Pn F Faraday's constant 9.65 x 10 Q-It V-IR 9 polden ratio 1.61803.. Joule's First Law of Power 18.11] Capacitance, related to charge 8.11 Energy: Capacitor 8.11 g acceleration due to gravity 9.8 on Earth; 1.6on Earth's Moon G gravitational constant 6.67 x 10 N 1 P-VI- -2R R Q-Cv E cV? k 1.38065 x 10 Inductance 18.11] Energy: Inductor 18.11| Hooke's Law for Spring [12.3] Boltzmann constant 6.022 x 10 IP NA Avogadro number V=L. dt F-kx mal * ratio of circle circumference to diameter 3.14159.. Newton's Law of Viscosity 12.3 Kinematic Viscosity (12.3 Klastie Materials Yung Mduhan (13 R ideal gas constant 0.08206 - 8314 melK Δν Ay 1-1본-1000분 62.4는 P density of water
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