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 metersm2| 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.
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 metersm2| 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.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 46PQ
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdcb50413-80d6-469c-93cd-08f16902242b%2F9fd235e4-acec-46ee-b934-f553bcc07903%2Fm8v0nl_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdcb50413-80d6-469c-93cd-08f16902242b%2F9fd235e4-acec-46ee-b934-f553bcc07903%2F79cnzec_processed.jpeg&w=3840&q=75)
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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