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Unformatted text preview: ASE 367K Final Exam (200 Points) Closed Book 1. (40pts) a. (30) Derive the equations of motion for climbing flight at con- stant power setting and constant velocity in a vertical plane over a flat earth. Start from the definitions of velocity, acceleration, Newtons second law, and weight rate, and derive the equations of motion in the wind axes system. Derive the equations for this specific scenario; do not derive the equations in general and then simplify them to this scenario. b. (10) How many mathematical degrees of freedom do the equations of motion in part (a) have? 2. (20pts) Consider an Ideal Subsonic Airplane (ISA) in a quasi-steady climb at constant power setting. Derive the equation for the time to climb from h to h f in terms of the unknown velocity profile V ( h ). Recall that the weight is assumed to be constant on the RHS of the EOM. 3. (25pts) The horizontal distance traveled during quasi-steady climb at constant power setting of an ISA from h to h f is given by x f- x...
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This note was uploaded on 09/18/2011 for the course ASE 367K taught by Professor Staff during the Spring '10 term at University of Texas at Austin.
- Spring '10