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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]

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]

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 the formulas and make sure to write the units. Please use this formula sheet please
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
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]
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