1: A turning aircraft (5 points) Consider an Airbus A350 that is performing a coordinated turn at a constant velocity v, with a bank angle of Pbank- Remember that a turn is coordinated if the net force that the aircraft experiences is contained in the vertical plane that cuts the vehicle in half. In other words, if you were inside a plane that is performing a constant velocity coordinated turn, the force that the seat would exert upon you would be directed in the same way that if the plane was flying level. Figure 1: [Flying Mag] - Turn Coordinator Please calculate the following data: 1. At what cl is the aircraft flying? 2. At what angle of attack (a) is the aircraft flying? 3. What is the modulus of the force being experienced by the passengers? 4. What is the total required thrust? 5. What is the total required power? 6. What is the required mass flow rate for each engine? 7. Because the turn is coordinated and done at a constant speed, it draws a perfect circle. What is the radius of the turn? 8. Consider the distance covered in the turn if the aircraft performs a full circle. What is the excess mass of fuel that will be consumed respect to doing that same distance in a straight line? Data: The mass of the aircraft at that point of the flight is m = 200000 = 2 10 kg The reference aerodynamic area for the A350 is S = 442 m The atmospheric conditions are ISA + 10 The flight altitude is h = 35.000 ft The flight regime is M = 0.75 The bank angle is Pbank = 15 cd(a) = = 0.2a + 0.08 cd (cl) = 0.1cl +0.02cl + 0.03 The aircraft has two engines The exhaust velocity of the engines is Vexh = 1000km/h The ratio at which engines tranform chemical energy stored in the fuel into mechanical energy through thrust is the overall propulsive efficiency, n = Thrust energy/Consumed chemical energy in this case, assume n = 0.8 Mass energy density of Jet-A1 fuel: 43.15 MJ/kg Hints: To understand the forces during the turn, it's useful to consider both the passenger reference frame (non-inertial) and the global, inertial reference frame. Also, remember that an airplane that performs a coordinated turn at constant speed draws a perfect circle Start by calculating the lift that the wings need to provide in order to comply with the coordinated turn constraint . With that, obtain, cl, a and cd Then, you can calculate required thrust, power and mass flow rate Bear in mind that the fuel consumption in the turn will be higher compared to the same distance in level flight because the required lift from the wings is higher, and therefore so is the drag force

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Calculations for the Turning Airbus A350 1 Lift Coefficient cl a Load factor nz Using trigonom... View the full answer