AEM_360_Homework#5
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Dec 6, 2023
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AEM 360 ASTRONAUTICS
Homework #5 – Rockets
Name:
none
1.
Circle the most correct answer for each question.
2.
Provide a reference from the course text (chapter and page number).
For questions involving calculations, please show your work.
1.
(
8 points
)
A 1.5 m
2
spacecraft radiator with an emissivity, ε, of 0.75 ejects 110 joules of heat per second (i.e,
watts).
What temperature must it be in degrees Celsius?
Given
:
Stefan-Boltzmann constant,
σ
= 5.67 × 10
–8
W / m
2
K
4
° C = K - 273.15
a.
-59.72° C
b.
203.78° C
c.
-69.37 K
d.
-69.37° C
Reference:
Ch. 13, Pg. 469
2.
(4 points)
Heat pipes are a means of internal active thermal control that provide a heat conduction path
inside a spacecraft.
They transfer heat based on the
a.
latent heat of fusion, the principle of storing additional heat in a liquid as it changes phase to a vapor.
b.
latent heat of vaporization,
the principle of storing additional heat in a liquid as it changes phase to a
vapor.
c.
latent heat of fusion, the principle of storing additional heat in a solid as it changes phase to a liquid.
d.
latent heat of vaporization, the principle of storing additional heat in a liquid as it changes phase to a
solid.
1
E
=
110
1.5
=
73.33
73.333
=
(
0.75
)
(
5.67
∗
10
−
8
)
(
T
+
273.15
)
4
T
=−
69.37
o
C
Reference:
Ch. 13, Pg. 472
3.
(5 points)
Space Shuttle space suits operated at a pressure of only 29.6 kPa (4.3 psi).
Therefore, at 12 hours
before extravehicular activity (EVA, or spacewalk), air pressure inside the Shuttle was lowered from its
normal near-sea level pressure to 70.3 kPa (10.2 psi) to avoid ________________; the EVA astronauts also
had to breathe pure oxygen for 3-4 hours to purge nitrogen from their bodies to avoid nitrogen bubbles in
the blood, which can cause_______________.
a.
decompression problems
; the bends.
b.
depression problems; the bends.
c.
compression problems; the leans.
d.
decompression problems; the leans
Reference:
Ch. 13, Pg. 474
4.
(
7 points
)
A cylindrical rod 10 m long at room temperature, 21° C, has a coefficient of thermal expansion,
α, of 2.22 x 10
-7
/°C .
What will its change in length, ΔL, be at 50° C?
What will the strain, ε, be?
a.
ΔL = 6.438 x 10
-5
m; ε = 6.438 x 10
-6
b.
ΔL = -8.795 x 10
-8
m; ε = -8.795 x 10
-7
c.
ΔL = 8.795 x 10
-5
m; ε = 8.795 x 10
-6
d.
ΔL = -6.438 x 10
-5
m; ε = -6.438 x 10
-6
Reference:
Ch. 13, Pg. 487
5.
(5 points)
Which statement about the launch vehicle acceleration profile shown below is
false
?
a.
The two peaks on the left indicate dual solid rocket strap-on boosters.
b.
The long red line from before 5.0 min to after 15.0 min represents a relatively low thrust third stage.
c.
The maximum g-loading on the vehicle is more than 4.0 g’s
d.
The two peaks on the left indicate increasing acceleration due to decreasing propellant mass with near
constant
thrust.
2
ΔL
=
(
10
)
(
2.22
∗
10
−
7
)
(
50
−
21
)
=
6.438
∗
10
−
5
m
ε
=
6.438
∗
10
−
5
10
=
6.438
∗
10
−
6
Reference:
Ch. 13, Pg. 492
6.
(4 points)
Vibrating an object at its lowest natural frequency, also called its __________________, results
in resonance, which is the tendency for an object to vibrate with increased amplitude (higher peaks), due to
a synchronized, applied, periodic force.
a.
carrier frequency
b.
prime frequency
c.
fundamental frequency
d.
downlink frequency
Reference:
Ch. 13, Pg. 488
7.
(
10 points
)
A communications satellite needs to perform a 12 m / s ΔV maneuver to adjust its orbit.
The
effective exhaust velocity, C, of the reaction control thruster is 1050 m / s and the spacecraft’s initial mass,
m
initial
, is 1100 kg, how much propellant will the maneuver require?
a.
9.950 kg
b.
10.547 kg
c.
11.105 kg
d.
12.500 kg
Reference:
Ch. 14, Pg. 513
8.
(
6 points
)
What is the specific impulse, I
sp
, of the reaction control thruster in Problem 7 above?
Given:
gravitational acceleration constant,
g
o
= 9.81 m / s
2
a.
65.67 s
b.
107.03 s
c.
130.25 s
d.
235.70 s
3
12
=
(
1050
)
ln
(
1100
m
f
)
m
f
=
1087.5001,
m
p
=
1100
−
1087.5001
=
12.5
kg
12
=
I
∗
9.81
∗
ln
(
1100
1087.5001
)
I
=
107.33
s
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