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Aerospace and Design: Aircraft Performance Analysis, Exercises of Aeronautical Engineering

The solution to problem set #3 of an introduction to aerospace and design course, focusing on aircraft performance through flight simulation lab. Collected data on indicated, true, and vertical speeds, flight path angles, lift, l/d ratio, and drag coefficients at different conditions. The document also discusses the approximation of optimal true airspeed for maximum time aloft and the maximum l/d, as well as the comparison of theoretical predictions and observed values.

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

abani
abani 🇮🇳

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16.00 Introduction to Aerospace and Design
Problem Set #3
AIRCRAFT PERFORMANCE FLIGHT SIMULATION LAB
Solution
I collected flight data at 10 different conditions, and also flew from 10,000 ft to 9,000 ft to get
more time to fly stably and more accurately measure vertical speed.
Data are shown in the table below.
Indicated airspeed computed directly from the airspeed indicator and converted to ft/s
True airspeed = 1.154 x (indicated airspeed) as per Problem Set #3 handout
Vertical speed computed from the Flight Analysis tool, converted to ft/s
h
&
Flight path angle computed from
γ
= sin
1
v
Lift computed from L = W cos(γ)
L/D computed from L/D = cot(γ)
L
CL computed from CL =
2
1
ρ
v 2 S
D
CD computed from CD = CL L
Flight indicated true vertical flight path
Condition airspeed (ft/s) airspeed (ft/s) speed (ft/s) angle (deg) Lift (N) L/D Cl Cd
72.62 83.81 2.31 1.58 849.68 36.30 0.76 0.02
79.38 91.60 2.45 1.53 849.70 37.34 0.63 0.02
87.82 101.35 2.78 1.57 849.68 36.48 0.52 0.01
96.27 111.09 3.19 1.65 849.65 34.76 0.43 0.01
103.02 118.89 3.73 1.80 849.58 31.89 0.38 0.01
113.16 130.58 4.61 2.02 849.47 28.29 0.31 0.01
131.73 152.02 6.54 2.47 849.21 23.21 0.23 0.01
148.62 171.51 9.35 3.12 848.74 18.32 0.18 0.01
172.27 198.80 14.17 4.09 847.84 14.00 0.13 0.01
209.42 241.67 25.24 6.00 845.35 9.52 0.09 0.01
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16.00 Introduction to Aerospace and Design

Problem Set

AIRCRAFT PERFORMANCE FLIGHT SIMULATION LAB

Solution

I collected flight data at 10 different conditions, and also flew from 10,000 ft to 9,000 ft to get

more time to fly stably and more accurately measure vertical speed.

Data are shown in the table below.

Indicated airspeed computed directly from the airspeed indicator and converted to ft/s

True airspeed = 1.154 x (indicated airspeed) as per Problem Set #3 handout

Vertical speed computed from the Flight Analysis tool, converted to ft/s

 h&^ 

Flight path angle computed from γ = sin −^1   ^ 

 v^ 

Lift computed from L = W cos(γ)

L/D computed from L/D = cot(γ)

L

CL computed from CL =^

2

1 ρ v^2 S

D

CD computed from C D = C L

L

Flight indicated true vertical flight path Condition airspeed (ft/s) airspeed (ft/s) speed (ft/s) angle (deg) Lift (N) L/D Cl Cd 72.62 83.81 2.31 1.58 849.68 36.30 0.76 0. 79.38 91.60 2.45 1.53 849.70 37.34 0.63 0. 87.82 101.35 2.78 1.57 849.68 36.48 0.52 0. 96.27 111.09 3.19 1.65 849.65 34.76 0.43 0. 103.02 118.89 3.73 1.80 849.58 31.89 0.38 0. 113.16 130.58 4.61 2.02 849.47 28.29 0.31 0. 131.73 152.02 6.54 2.47 849.21 23.21 0.23 0. 148.62 171.51 9.35 3.12 848.74 18.32 0.18 0. 172.27 198.80 14.17 4.09 847.84 14.00 0.13 0. 209.42 241.67 25.24 6.00 845.35 9.52 0.09 0.

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True airspeed (ft/s)

From the data above, the aircraft should fly at approximately 84 ft/s true airspeed (or 43 kt

indicated) to maximize time aloft (minimum sink rate).

True airspeed (ft/s)

The maximum L/D occurs at a true airspeed of 92 ft/s (47 kt indicated).

L/D

vertical speed (ft/s)

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