Math 10, Spring 2016
Chapters 7.3-9.3 Review
Remember to Bring: Pencil, calculator!, and one 8.5x11 page of notes (1 side, handwritten).
For proportions, be sure to know what p (population proportion),p , and p0 stand for.
For means, be sure to know what
Math 3A (Allen)
Exam 4, part 1
May 17, 2016
name
Please use pencil. To receive credit you must show your work. This is due at the start of class
Tuesday. Each problem is worth 6 points unless otherwise indicated.
1) (6 pts ea.) Find n so that the Midpoint
Supersonic Flow over Airfoils
In the previous chapter we treated subsonic flow over airfoils. In this final chapter we will take a look at
supersonic flow. How do airfoils behave at M > 1?
1
The Linearized Supersonic Pressure Coefficient Equation
In the
p
Delft University of Technology
D E P A R T M E N T OF A E R O S P A C E E N G I N E E R I N G
Course: Aerodynamics 2;
Code: AE2210
Course year: 2
Date: Wednesday 14 August 2013
Time: 14:00-17:00
On the top of each answer sheet write: initials, name, stude
Flow Through Wind Tunnels
To be able to test with supersonic flows, wind tunnels are used. To reach a supersonic flow, they must
have a characteristic shape. Why is this? And how does this shape effect the flow? We will try to find
that out.
1
Basic Equat
Delft University of Technology
DEPARTMENT OF AEROSPACE ENGINEERING
Course: Aerodynamics 2;
Date: Wednesday 3 July 2013
Code: AE2210
Course year: 2
Time: 14:00 17:00
On the top of each answer sheet write: initials, name, student number, sheet number/total
Aerodynamics C Summary
1. Basic Concepts
In this summary we will examine compressible flows. But before we venture into the depths of the
aerodynamics, we will examine some basic concepts.
1.1
Basic Concepts of Gases
Usually the atoms in a gas exert force
Delft University of Technology
DEPARTMENT OF AEROSPACE ENGINEERING
Course: Aerodynamics 2;
Code: AE2130-III
Date: Wednesday 9 April 2014
Course year: 2
Time: 14:00 17:00
On the top of each answer sheet write: initials, name, student number, sheet number/t
Basics of Inviscid Incompressible Flows
1
Bernoullis equation
An incompressible flow is a flow where the density is constant. Lets assume were dealing with an
incompressible flow. From the momentum equation and the streamline condition, we can derive that
Basic Concepts
In this summary we will examine compressible flows. But before we venture into the depths of the
aerodynamics, we will examine some basic concepts.
1
Basic Concepts of Gases
Usually the atoms in a gas exert forces on each other. If these in
Flight Vehicle Aerodynamics
Mark Drela
MIT Press, 2014
Errata
7 May 2014
Page 114:
Y = V
L = V
N
X
i sin i si
i=1
N
X
i
(5.77)
cos i si
(5.78)
i=1
Page 199:
=
Dp x
ZZ
) x
dS
p(
nx
2
1
2 V S cdp
=
x
2
1
2 V S cdp
cos2 x
(8.181)
Page 206:
N = Ixz p + Iy
Name l»
1. For each set of vectors below, state whether it is linearly independent or dependent and justify your answer:
Math 4C
Blasberg
Quiz #2
(a) {(1,2,—2),(2,-l,3),(1,—2,2)} (b) {(1,12),(2,3,1),(1,1,—1)} (25 pts)
’I ’L l 1'2, \ Q l 7' ‘ O l '1 llo
10
a
b
c
d
e
f
VII
35.68
30.76
38.76
25.68
21.66
27.93
MEDIAN:
VARIANCE:
MEAN:
STANDARD DEVIATION:
MODE:
VIII
1
4
1
2
4
1
30.305
22.6185787879
30.1316666667
4.7558993669
#VALUE!
31.44
24.78
29.85
59.99%
64.44%
68.89%
73.34%
77.79%
82.24%
86.69%
91.14%
95.59%
Sharon Ngs Statistics Final Notes
1) For the question How many children have you ever had? in the 2006 General Social Survey, the results were:
# children
Count
0
1216
1
710
2
1147
3
738
4
386
5
139
6
83
7
43
8+
35
a) Find the mean, median, mode, SD, Q1,
Sharons Statistics Exam #2 Notes
Example Problems and Application
1) 1 letter is randomly selected from the word LOOL and 1 letter is randomly selected from the word SOOL. Find the
probability that the same letter is selected from both words.
3/8 (or 37.5
Sharons Statistics Exam #1 Notes
Example Problems and Application
1) 25 students took a Biology test. The scores that the students obtained were recorded as follows:
73, 73, 69, 70, 54, 54, 56, 50, 80, 81, 70, 73, 85, 73, 80, 81, 69, 79, 63, 57, 51, 51, 6