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ASE 367K
0
Final Exam
Closed
Book
=
1. (40 prs) Derive the translational ~uations of motion for nonsready gliding flight (T 0) in a
vertical plane over a flat earth. Each part of the problem uses the previous parts.
.a~l.Gl-Q2ra~, a free-body diagram for gliding flight in which the airplane is
descending. The velocity vector should be drawn at an angle t/J,the glide
angle, below tIle Xh-axis. Show the various coordinate systems, angles,
and forces.
c~fih
terms of the glide angle q" how are the Qrit vectors of the wind axes
related to the unit vectOrsof the :ocal horizon axes? Derive the expression
for d iwI dt in the wind a.,'(es.
,
e.:...~~ ':;Startingfrom the deftnition of velocity, the deftnition of acceleration, and
Newton's second law, derive the translational kinematic equations and the
translational dynamic equations for gliding flight. 'Write the velocity vector
as V Vi and .use</Jfor irs orientation.
=
List the functionalrelations for D and L. and determinethe number of
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mathematical degrees of freedom of the equatk!1S of Part c.
2. (40pts) Considerthe glidingflight (T == 0) of an ideal subsonic airplane.
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a. (10) Starting from the equations of motion for nonsteady gliding flight, derive
the equationsof motionforquasi-steadyglidingflight.
en~~
4Df-..;in~gQ1i<m-..f~lIb::i:he~~~d detel11line
mathematical degrees of freedom of th~ resulting equations.
'L.,e number
of
~~,.'Derive
the integral equation for the horizontal distance traveled during a
descent from one altitude to a lower altitUde in terms of the unknown
velocity prof1le V(h).
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the velocity profIle V(h)formaximumrangeandthe maximumrange.
3. - (40 p~) Derme briefly the following items:
a. ideal subsonic airplane
b. airplane angle of attack
c. p. plot
d. turnrate
e.
f.
g.
h.
load factor
specific energy
coefficient of rolling frictio[l
stabilitya:'<.e5
i. pitch axis
j.
phugoid mode
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