AEE 4263 HW 8
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AEE 4263-02 Space Flight Mechanics Homework
HW8
Fall 2023
Use the following constants:
Earth gravitational parameter: μ
=
398600.4418
km
3
/
s
2
Earth radius: R
E
=
6378.137
km
For other celestial bodies, use the gravitational parameter (
μ
) found in table A.2 of the text
1.
(8 Points) Using the data in table A.1 in text (also found in lecture 16, slide 8), compute the
synodic period between the Earth and Saturn in years to two decimal places.
Solution:
Synodic Period between the Earth and Saturn = 1.04 years
MATLAB:
%% Homework 8 Problem 1
close all
clear all
clc
mu= 398600.4418; %km^3/s^2
RE= 6378.137; %km
T_earth= 365.256; %days
T_saturn= 29.46*T_earth; %days
T_syn_days= (T_earth * T_saturn) / (abs(T_earth - T_saturn)); %days
T_syn_years= T_syn_days/T_earth %years
1
2.
(15 Points) Compute the transfer time (i.e., Half the period of a Hohmann ellipse) between Earth
and Saturn to the nearest day.
Solution:
Transfer Time = 2222 days
MATLAB:
%% Homework 8 Problem 2
close all
clear all
clc
RE= 149.6*10^6; %km
RS= 1.433*10^9; %km
a= (RE+RS)/2; %km
mu_sun= 132712440018; %km^3/s^2 t_s= sqrt(a^3/mu_sun)*pi; %sec
t_d= t_s/86400 %days
2
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Related Questions
Match 4 correct pairs between List-l and List-ll
for questions. No credit will be given for partially
correct matching.
List-l
A. Collision of particles
B. Stability
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D. Spinning top
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Farag
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Question : A 550 kilogram mass initially at rest acted upon by a force of F(t) = 50et Newtons. What are the acceleration, speed, and displacement of the mass at t = 4 second ?
a =(50 e^t)/(550 ) [N/kg]
v = ∫_0^t▒(50 e^t )dt/(550 )= v_0 +(50 e^t-50)/550=((e^t- 1))/11
x = ∫_0^t▒(e^t- 1)dt/(11 )= x_0 +(e^t- t - 1)/(11 )
a(4s)=(50*54.6)/550= 4.96[m/s^2 ]
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What is known in this equation?
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Can you find: mwater =? g
Twater = Talum = 20°C (water and cup of room temperature)
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kCal
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Page 4 of 7
?
Part I: Taking Measurements & Estimating Uncertainties for a single measurement
www.stefanelli.eng.br
The mass of the object is_
0
i
Parts on a tripie peam palance
0
0
10 20 30
1
100
2 3
40
200
4
+/-
50 60 70
5
300
7
400
80
Qv Search
8
90
9
500
100
9
10 g
www.stefanelli.eng.br
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Excel File "LO1 Data'
Max
Max
Max Load Stress Elongation material
(mm) (Kg/m3)
10
7850
(Kg)
3000
Density of
rod
(Mpa)
200
young's
modulus for
the rod
(Gpa)
80
Length of
Rod (ft)
7
Cross-sectional area
of Rod (mm2)
9mm x 9mm
81
Poisson's coefficient of linear
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rod a (x 106/°C)
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10
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PHYS X PHYS X
印 PHYS X
PHYS X
POTPHYS X
PHYS X
E PHYS X E PHYS
top/semester2/physics%20for%20engineers/PHYS220_CH15_Lecture%20Notes_Problems%2015 19,15.29 S
(D Page view
A Read aloud
V Draw
Problem-15-19: page-475
A 0.500-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion
with an amplitude of 10.0 cm. Calculate the maximum value of its
(a) speed, and acceleration.
(b) the speed and the acceleration when the object is 6.00 em from the equilibrium position, and
(c) the time interval required for the object to move from.r50 to r5 8.O0 cm.
Solution:
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is something important that engineers
investigate. The drag force acting on a
car is determined experimentally by
placing the car in a wind tunnel. The air
speed inside the tunnel is changed, and
the drag force acting on the car is
measured. For a given car, the experimental
data generally is represented by a
single coefficient that is called drag
coefficient. It is defined by the following
relationship:
F,
where
air resistance for a car that has a listed
C, = drag coefficient (unitless)
measured drag force (N)
drag coefficient of 0.4 and width of 190 cm
and height of 145 cm. Vary the air speed
in the range of 15 m/s
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DO
C.D
Frontly
у
Your tasks:
No Deflection
m
k
Fg = mg
Initial Condition
y
m
k
Write down an expression for the total energy If as the sum
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&
X
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10.60
XXXXXX
XXXXXXXX
Weight 1
구군, 60
150
cw
Weight 2 93.5
100
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Z Tecw
Złcw = Wrack
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Home
Insert
Draw
View
Help
Class Notebook
B
I U
Heading 1
A Dictate
Times New Ro
22
QUESTION 1
A) A box full of coins weighs 105 lbs. (ignore the box weight). If the box has 65 coins
and gravity on Saturn's surface is 10.44 m/s?. What is the mass and weight
of
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C
Dynamic Analysis and Aeroelasticity
SECTION B
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%3D
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a
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1.k-q
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