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§
AERE 355 Homework 2
Sep 25, 2025
§
1.
V
=
0.158
Mach
V = 0.158 \text{Mach}
V
=
0.158
Mach
δ
e
=
0
\delta_e = 0
δ
e
=
0
β
=
5
°
\beta = 5 \degree
β
=
5°
δ
r
=
?
,
δ
a
=
?
\delta_r = ?, ~ \delta_a = ?
δ
r
=
?
,
δ
a
=
?
From table B.1:
C
n
β
=
−
0.071
C_{n_\beta} = -0.071
C
n
β
=
−
0.071
C
n
δ
r
=
−
0.072
C_{n_{\delta_r}} = -0.072
C
n
δ
r
=
−
0.072
C
n
δ
a
=
−
0.0035
C_{n_{\delta_a}} = -0.0035
C
n
δ
a
=
−
0.0035
Equations from chapter 2:
C
n
=
C
n
β
β
+
C
n
δ
r
δ
r
+
C
n
δ
a
δ
a
C_n = C_{n_\beta} \beta + C_{n_{\delta_r}} \delta_r + C_{n_{\delta_a}} \delta_a
C
n
=
C
n
β
β
+
C
n
δ
r
δ
r
+
C
n
δ
a
δ
a
C
l
=
C
l
β
β
+
C
l
δ
r
δ
r
+
C
l
δ
a
δ
a
C_l = C_{l_\beta} \beta + C_{l_{\delta_r}} \delta_r + C_{l_{\delta_a}} \delta_a
C
l
=
C
l
β
β
+
C
l
δ
r
δ
r
+
C
l
δ
a
δ
a
Trim flight:
0
=
C
n
β
β
+
C
n
δ
r
δ
r
+
C
n
δ
a
δ
a
0 = C_{n_\beta} \beta + C_{n_{\delta_r}} \delta_r + C_{n_{\delta_a}} \delta_a
0
=
C
n
β
β
+
C
n
δ
r
δ
r
+
C
n
δ
a
δ
a
0
=
C
l
β
β
+
C
l
δ
r
δ
r
+
C
l
δ
a
δ
a
0 = C_{l_\beta} \beta + C_{l_{\delta_r}} \delta_r + C_{l_{\delta_a}} \delta_a
0
=
C
l
β
β
+
C
l
δ
r
δ
r
+
C
l
δ
a
δ
a
From Table A.2:
a
=
1116.45
f
t
/
s
a = 1116.45ft/s
a
=
1116.45
f
t
/
s
V
=
0.158
∗
1116.45
f
t
/
s
=
176.4
f
t
/
s
V = 0.158 * 1116.45ft/s = 176.4ft/s
V
=
0.158
∗
1116.45
f
t
/
s
=
176.4
f
t
/
s