ASE 367K
Quiz
#1
Closed Book
1. (30pts) Consider a rocket-powered aircraft accelerating at constant altitude.
a. (5) Draw a free-body diagram showing the coordinate systems,
the angles, and the forces for this particular problem.
b. (20) Starting from the .definitions of velocity, acceleration, Newton's second law, and W, derive the equations of motion for constant altitude acceleration. Note that for constant altitude flight,
the flight path inclination is zero. Hence, there should be no ry's
in your derivation.
c. (5) The functional relations for T and C for a rocket engine are
T(P) and C = Canst. How many mathematical degrees of freedom do the equations in part b have?
3. (20pts) Consider a parabolic drag polar with constant coefficients. For
quasi-steady flight where L = W,
a. (10) derive the equation for the drag D(h, V, W), and
b. (10) assuming that hand Ware given, derive the equation for the
velocity where the drag is a minimum.
4. (50pts) Define briefly (words, formulas, figures, etc.)
items:
a. (5) wing planform area
b. (5) wind axes system
c. (5) exponential atmosphere
d.
e.
f.
g.
h.
1.
(5)
(5)
(5)
(5)
(5)
(5)
drag coefficient
3DOF equations of motion
Ideal Subsonic Airplane
flat earth gravitational model
wing chord plane
zero-lift drag
J.
(5) angle of attack
the following