A small heater Is used to keep critical components from getting too cold In space. During operation, the device will produce 77,500 calorles (cal of thermal enery over a time-span of 2 hours (h). Additionally, the device will use 8600 calories (cal] for operation that Is not turned Into thermal energy during the same 2 hour (h] time-span. This energy Is not used to create the desired temperature change; It is "lost" during the operation of the heater. What is the total power required to operate the heater, in units of watts W]? How efficient is the device? Express your answer as a percentage.
A small heater Is used to keep critical components from getting too cold In space. During operation, the device will produce 77,500 calorles (cal of thermal enery over a time-span of 2 hours (h). Additionally, the device will use 8600 calories (cal] for operation that Is not turned Into thermal energy during the same 2 hour (h] time-span. This energy Is not used to create the desired temperature change; It is "lost" during the operation of the heater. What is the total power required to operate the heater, in units of watts W]? How efficient is the device? Express your answer as a percentage.
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
Related questions
Question
Please show all your work and formulas used
![Unit Conversion Table
SI Prefixes and Dimensions Table
Angle
1 rad
e rad
SI Prefixes
Example: 1 milligram (mg]- 1 x 10 grams (gd
Power
I hp
57.3
deg
deg
745.7
Example: 1 Megajoule (MJ] - 1x 10 joules (J)
Numbers Greater Than One
180
3.412
BTU / h
Numbers Less Than One
0.00134
hp
cal / min
Prefix
Abbreviation
Prefix
Abbreviation
Area
1 W
Power of 10
Prefix
Power of 10
Prefis
14.34
4,047
m
t Ib /s
-1
deci-
1
deca
-
da
0.7376
1 acre
0.00156
mi
-2
centi-
hecto-
h
1 mi
640
acre
Pressure
3
milli-
3.
kilo-
k
m
1.01325
bar
r
Mega
Energy
1 BTU
33.9
t H0
-6
micro
6.
M
1,055.06
J
1 atm
29.92
in Hg
-9
nano
Giga-
I cal
4.184
J
760
mm Hg
-12
pico-
12
Tera-
т
0.239
cal
101,325
Pa
9.48 10 ITU
0.7376
1J
-15
femto-
15
Peta-
14.7
psi
t Ib
-18
atto-
18
Exa-
E
1 kW h
3,600,000 J
Time
-21
21
Zetta
zepto-
1d
24
h
Force
-24
yocto-
24
Yotta-
1h
60
min
0.225
Ib
1 min
I yr
IN
60
1x 10
dyne
Fundamental Dimensions and Base SI Units
365
I kip
1,000
Ib
Temperature Change
electric current A ampere
N amount
|mol) mole
Length
J light intensity
Jed) candela
T time
Is]
second
1m
3.28
ft
IK
1.8
1 km
1 in
0.621
mi
1.8
"R
L length
(m] meter
O temperature
[K) kelvin
254
cm
12
Volume
M mass
in
(kgl kilogram
5,280
ft
3.785
L
1 mi
1 pal
1.609
km
4
qt
cm or ce
Common Derived, Named Units in the SI System
Base SI Units
1 yd
3
ft
1,000
SI Unit
Derived From
0.264
gal
Dimensions
Dimension
Mass
0.0353
ML
F-ma
(F) newton IN Force (mass (acceleration
1N - 1
I kg
1 Ib
1 shug
1 ton (metric
1 ton (US
2.205
Ib
Force
A oz
cm or ce
33.8
16
oz
I ml.
32.2
Ib
1 m
1,000
L.
ML?
Energy (E) joule
E-Fd
PI Energy (force) (distance)
1J-1N m -1
2,204.62
Ib
16
d oz
pt
I gt
2,000
Ib
2
pt
ML?
(P) watt (W
1w - 1!-1
Power
Named Units
Power - jenergyi / (time)
farad
1 (A s) / V
1 (V s) / A
pascal
poise
1 Pa
IN/ m
1g/ (cm s)
1 em /s
Pressure (P) pascal (Pal Pressure force) / (area)
P-F/A
1 Pa - 1-1
M
henry
1P
LT2
1H
hertz
I Ha
1 St
stoke
IN m
1 V
V IWIA
V-P/I
Voltage - (power) / (current)
ML?
joule
1J
1Nm
volt
Voltage (V) volt
1V -1"-1
T'I
1 (kg m) / s
1v/A
newton
1N
watt
1 W
1J/s
ohm
10
Thinking Like an Engineer 4e
An Aetive Learning Agpproach
Thinking Like an Engineer 4e
An Aetive Learning Approach
an. P
Cte
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
18.2
Rectangular Parallelepiped
Volume - abe
Surface Area 2 (ab+aeb e)
Rectangle
d- vt
F - m a
w = mg
Areaab
v -at
Perimeter - 2 a+ 2b
Density
8.3 Specific Gravity
[8.3] Specific Weight
[8.3]
SG = Pobject
Pwater
w
m
V
Cirele
Sphere
Y=
Arear
Volume -r
Molecular Weight
8.4 Molarity
Temperature: "F to "C
18.5)
Circumference - 2*r
Surface Area4sr
T[*F] – 32 T["C] – 0
Diameter- 2r
MW =
V
180
100
Triangle
Right Cireular Cone
Temperature: "C to K
[8.5 Temperature: "F to "R
[8.5 Pressure
18.6)
Area-bH
Volume -rH
T (K] = T["C] + 273
T ("R] - T ("F] + 460
F
P =
Torus
Right Circular Cylinder
8.6 ideal Gas Law
18.7)
Pascals Law ydrostatic Presure R6 Pressure: Total
Volume -r H
Volume - 2 R
Phydre PgH
Protal - Pydre + Purface
PV-n RT
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?
3x 10
speed of light in a vacuum
Energy: Thermal
[8.8 Power
8.9 Power
8.9)
speed of sound in air (20 "C)
343.59
E
Q-m Cp AT
P = Pout + Post
Euler number (base of natural logarithm) 2.71828..
e
elementary charge of an electron
1.602 x 10 "C
9.65 x 10
Efficiency
[8.10 Current, elated t charge
[8.11) Ohm's Law of Resistance [8.11]
F Faraday's constant
Pout
Pin
Q-It
V-IR
golden ratio
1.61803..
Joule's First Law of Power [8.11 Capacitance, related to charge 8.11] Energy: Capacitor
[8.11)
acceleration due to gravity
9.8 on Earth; 1.6on Earth's Moon
v2
P-VI-=PR
R
Q-CV
E =; Cv?
N
G gravitational constant
6.67 x 10-
k Boltzmann constant
1.38065 x 10
Inductance
8.11 Energy: Inductor
[8.11] Hooke's Law for Spring
[12.3]
dl
NA Avogadro number
6.022 x 10
V =La
E =LF
2
F-k x
ratio of circle circumference to diamcter
3.14159..
Newton's Law of Viscosity [12.3] Kinematic Viscosity
[12.3
Elastic Materials Youngs Modulan (12
R
ideal gas constant
0.08206 - 8314
PaL
Δν
6 = EE
melK
mal K
Ay
11분-1000분-624는
p density of water](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9b91490-7014-4990-b9a4-62583a5b405c%2Fdfc0b9ef-1680-4a9b-925f-cffee4c3721c%2F3uqq47v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Unit Conversion Table
SI Prefixes and Dimensions Table
Angle
1 rad
e rad
SI Prefixes
Example: 1 milligram (mg]- 1 x 10 grams (gd
Power
I hp
57.3
deg
deg
745.7
Example: 1 Megajoule (MJ] - 1x 10 joules (J)
Numbers Greater Than One
180
3.412
BTU / h
Numbers Less Than One
0.00134
hp
cal / min
Prefix
Abbreviation
Prefix
Abbreviation
Area
1 W
Power of 10
Prefix
Power of 10
Prefis
14.34
4,047
m
t Ib /s
-1
deci-
1
deca
-
da
0.7376
1 acre
0.00156
mi
-2
centi-
hecto-
h
1 mi
640
acre
Pressure
3
milli-
3.
kilo-
k
m
1.01325
bar
r
Mega
Energy
1 BTU
33.9
t H0
-6
micro
6.
M
1,055.06
J
1 atm
29.92
in Hg
-9
nano
Giga-
I cal
4.184
J
760
mm Hg
-12
pico-
12
Tera-
т
0.239
cal
101,325
Pa
9.48 10 ITU
0.7376
1J
-15
femto-
15
Peta-
14.7
psi
t Ib
-18
atto-
18
Exa-
E
1 kW h
3,600,000 J
Time
-21
21
Zetta
zepto-
1d
24
h
Force
-24
yocto-
24
Yotta-
1h
60
min
0.225
Ib
1 min
I yr
IN
60
1x 10
dyne
Fundamental Dimensions and Base SI Units
365
I kip
1,000
Ib
Temperature Change
electric current A ampere
N amount
|mol) mole
Length
J light intensity
Jed) candela
T time
Is]
second
1m
3.28
ft
IK
1.8
1 km
1 in
0.621
mi
1.8
"R
L length
(m] meter
O temperature
[K) kelvin
254
cm
12
Volume
M mass
in
(kgl kilogram
5,280
ft
3.785
L
1 mi
1 pal
1.609
km
4
qt
cm or ce
Common Derived, Named Units in the SI System
Base SI Units
1 yd
3
ft
1,000
SI Unit
Derived From
0.264
gal
Dimensions
Dimension
Mass
0.0353
ML
F-ma
(F) newton IN Force (mass (acceleration
1N - 1
I kg
1 Ib
1 shug
1 ton (metric
1 ton (US
2.205
Ib
Force
A oz
cm or ce
33.8
16
oz
I ml.
32.2
Ib
1 m
1,000
L.
ML?
Energy (E) joule
E-Fd
PI Energy (force) (distance)
1J-1N m -1
2,204.62
Ib
16
d oz
pt
I gt
2,000
Ib
2
pt
ML?
(P) watt (W
1w - 1!-1
Power
Named Units
Power - jenergyi / (time)
farad
1 (A s) / V
1 (V s) / A
pascal
poise
1 Pa
IN/ m
1g/ (cm s)
1 em /s
Pressure (P) pascal (Pal Pressure force) / (area)
P-F/A
1 Pa - 1-1
M
henry
1P
LT2
1H
hertz
I Ha
1 St
stoke
IN m
1 V
V IWIA
V-P/I
Voltage - (power) / (current)
ML?
joule
1J
1Nm
volt
Voltage (V) volt
1V -1"-1
T'I
1 (kg m) / s
1v/A
newton
1N
watt
1 W
1J/s
ohm
10
Thinking Like an Engineer 4e
An Aetive Learning Agpproach
Thinking Like an Engineer 4e
An Aetive Learning Approach
an. P
Cte
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
18.2
Rectangular Parallelepiped
Volume - abe
Surface Area 2 (ab+aeb e)
Rectangle
d- vt
F - m a
w = mg
Areaab
v -at
Perimeter - 2 a+ 2b
Density
8.3 Specific Gravity
[8.3] Specific Weight
[8.3]
SG = Pobject
Pwater
w
m
V
Cirele
Sphere
Y=
Arear
Volume -r
Molecular Weight
8.4 Molarity
Temperature: "F to "C
18.5)
Circumference - 2*r
Surface Area4sr
T[*F] – 32 T["C] – 0
Diameter- 2r
MW =
V
180
100
Triangle
Right Cireular Cone
Temperature: "C to K
[8.5 Temperature: "F to "R
[8.5 Pressure
18.6)
Area-bH
Volume -rH
T (K] = T["C] + 273
T ("R] - T ("F] + 460
F
P =
Torus
Right Circular Cylinder
8.6 ideal Gas Law
18.7)
Pascals Law ydrostatic Presure R6 Pressure: Total
Volume -r H
Volume - 2 R
Phydre PgH
Protal - Pydre + Purface
PV-n RT
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?
3x 10
speed of light in a vacuum
Energy: Thermal
[8.8 Power
8.9 Power
8.9)
speed of sound in air (20 "C)
343.59
E
Q-m Cp AT
P = Pout + Post
Euler number (base of natural logarithm) 2.71828..
e
elementary charge of an electron
1.602 x 10 "C
9.65 x 10
Efficiency
[8.10 Current, elated t charge
[8.11) Ohm's Law of Resistance [8.11]
F Faraday's constant
Pout
Pin
Q-It
V-IR
golden ratio
1.61803..
Joule's First Law of Power [8.11 Capacitance, related to charge 8.11] Energy: Capacitor
[8.11)
acceleration due to gravity
9.8 on Earth; 1.6on Earth's Moon
v2
P-VI-=PR
R
Q-CV
E =; Cv?
N
G gravitational constant
6.67 x 10-
k Boltzmann constant
1.38065 x 10
Inductance
8.11 Energy: Inductor
[8.11] Hooke's Law for Spring
[12.3]
dl
NA Avogadro number
6.022 x 10
V =La
E =LF
2
F-k x
ratio of circle circumference to diamcter
3.14159..
Newton's Law of Viscosity [12.3] Kinematic Viscosity
[12.3
Elastic Materials Youngs Modulan (12
R
ideal gas constant
0.08206 - 8314
PaL
Δν
6 = EE
melK
mal K
Ay
11분-1000분-624는
p density of water
![113 BoINE; Hnal answer In Canvas, upload your work to GradeScope]
A small heater Is used to keep critical components from getting too cold In space.
During operation, the device will produce 77,500 calorles (cal of thermal energy over a time-span of 2 hours (h).
Additionally, the device will use 8600 calories (cal] for operation that Is not turned Into thermal energy during the same 2
hour (h] time-span. This energy is not used to create the desired temperature change; It is "lost" during the operation of the
heater.
What is the total power required to operate the heater, in units of watts W?
How efficient is the device? Express your answer as a percentage.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9b91490-7014-4990-b9a4-62583a5b405c%2Fdfc0b9ef-1680-4a9b-925f-cffee4c3721c%2Fdox9znj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:113 BoINE; Hnal answer In Canvas, upload your work to GradeScope]
A small heater Is used to keep critical components from getting too cold In space.
During operation, the device will produce 77,500 calorles (cal of thermal energy over a time-span of 2 hours (h).
Additionally, the device will use 8600 calories (cal] for operation that Is not turned Into thermal energy during the same 2
hour (h] time-span. This energy is not used to create the desired temperature change; It is "lost" during the operation of the
heater.
What is the total power required to operate the heater, in units of watts W?
How efficient is the device? Express your answer as a percentage.
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