The world's deepest swimming pool is located in Poland and is filled with pure water. A camera at the bottom of the pool has a mass of 215 grams [g] and can be modeled as a cube with a side length of 5 centimeters cm. The camera experiences a total pressure of 157 inches of mercury in Hg. Assume the pool has a cross sectional area of 182 square meters m2| and a uniform depth. Determine the volume of the pool in units of liters [L). or 3 digits shown to the left of the decimal place.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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The world's deepest swimming pool is located in Poland and is filled with pure water.
A camera at the bottom of the pool has a mass of 215 grams [g] and can be modeled as a cube with a side length of 5 centimeters (cm).
The camera experiences a total pressure of 157 inches of mercury in Hg.
Assume the pool has a cross sectional area of 182 square meters m2| and a uniform depth.
Determine the volume of the pool in units of liters [L).
Express your answer using an appropriate SI prefix such that there are only 1, 2, or 3 digits shown to the left of the decimal place.
Transcribed Image Text:The world's deepest swimming pool is located in Poland and is filled with pure water. A camera at the bottom of the pool has a mass of 215 grams [g] and can be modeled as a cube with a side length of 5 centimeters (cm). The camera experiences a total pressure of 157 inches of mercury in Hg. Assume the pool has a cross sectional area of 182 square meters m2| and a uniform depth. Determine the volume of the pool in units of liters [L). Express your answer using an appropriate SI prefix such that there are only 1, 2, or 3 digits shown to the left of the decimal place.
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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