ASE 367K Quiz # Closed Book 2 1. (30pts) Consider the quasi-steady gliding flight (T=O) of an Ideal Subsonic Airplane (ISA). a. (10) List the equations of motion for quasi-steady gliding flight. List the functional relation for the drag. List the variables, and show that there is one mathematical degree of freedom. b. (10) Derive the formula for the horizontal distance traveled as the airplane descends from ho to h f < ho in terms of the unknown velocity profile, that is, xf - Xo = 2E* lhfrho u2 +dh u4 . c. (10) Derive the formula for the velocity profile for maximum distance and the formula for maximum distance. 2. (20) Consider the take-off ground run of an ISA. The differential equation for the ground run distance is given by dX dV - W V 9 (T - JLW) - (1/2)pS(CD - JLCL)V2 Explain why each quantity on the right-hand side of the equation (except for the velocity) can be assumed· constant. 3. (50pts) Define briefly (words, formulas, figures, etc.) items: a. (5) stall speed g. h. b. specific service effect ceiling energy J. (5) Ps energy plot maneuverability d. e. c. f.1. (5) (5) (5)·ground rotation rate friction flight ofenvelope climb force speed the following