Equations of Motion: The aircraft's longitudinal motion is described by the following differential equations: 1) Vertical...

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Equations of Motion: The aircraft's longitudinal motion is described by the following differential equations: 1) Vertical Motion (Pitching): = (Cmo + Cm. a) q S 2) Forward Motion (Thrust and Drag): m u T cos(0) D - sin(0) 3) Vertical Motion (Lift and Weight): - mwLm g+T sin(0) -D cos(0) Where: - is the pitch angle, -a is the angle of attack, - Iyy is the moment of inertia about the pitch axis, - Cmo is the zero-lift pitching moment coefficient, - Cm is the change in pitching moment coefficient with angle of attack, - q is the dynamic pressure, q = p.v, -S is the wing area, - is the mean aerodynamic chord, -p is the air density, -vis the total velocity of the aircraft relative to the air, -m is the mass of the aircraft, -T is the thrust magnitude, -D is the drag force magnitude, D = Ca q S, -L is the lift force, L=C q. S. - Pitch Angle (9): 0 degrees (converted to radians in the model), -Forward Velocity (u): 250 m/s, - Vertical Velocity (w): 0 m/s (assuming level flight at the start). Assignment Instructions: - Construct a Simulink model using the provided equations of motion and parameters. - Implement the specified initial conditions for the pitch angle, forward velocity, and vertical velocity. - Generate plots depicting the pitch angle, forward velocity, and vertical velocity over time. - Run the simulation to observe the time evolution of the pitch angle (0), forward velocity (u), and vertical velocity (w) for 10 second. Develop a Simulink model to simulate the longitudinal dynamics of a medium-sized passenger plane by in- tegrating the key equations of motion. The model should capture how the pitch angle, forward velocity, and vertical velocity evolve over time under given initial conditions and aerodynamic parameters. Parameters for Simulation: - m = 100000 kg, - Iyy 9100000 kg-m, - S = 75 m, - c = 2 m, - Cmo = 0.10736, - Cm-0.46799, -T 19999.9987 N, = - Cd = 0.055525, - C = 0.3, - p = 1.225 kg/m, - 9 = 9.81 m/s. Equations of Motion: The aircraft's longitudinal motion is described by the following differential equations: 1) Vertical Motion (Pitching): = (Cmo + Cm. a) q S 2) Forward Motion (Thrust and Drag): m u T cos(0) D - sin(0) 3) Vertical Motion (Lift and Weight): - mwLm g+T sin(0) -D cos(0) Where: - is the pitch angle, -a is the angle of attack, - Iyy is the moment of inertia about the pitch axis, - Cmo is the zero-lift pitching moment coefficient, - Cm is the change in pitching moment coefficient with angle of attack, - q is the dynamic pressure, q = p.v, -S is the wing area, - is the mean aerodynamic chord, -p is the air density, -vis the total velocity of the aircraft relative to the air, -m is the mass of the aircraft, -T is the thrust magnitude, -D is the drag force magnitude, D = Ca q S, -L is the lift force, L=C q. S. - Pitch Angle (9): 0 degrees (converted to radians in the model), -Forward Velocity (u): 250 m/s, - Vertical Velocity (w): 0 m/s (assuming level flight at the start). Assignment Instructions: - Construct a Simulink model using the provided equations of motion and parameters. - Implement the specified initial conditions for the pitch angle, forward velocity, and vertical velocity. - Generate plots depicting the pitch angle, forward velocity, and vertical velocity over time. - Run the simulation to observe the time evolution of the pitch angle (0), forward velocity (u), and vertical velocity (w) for 10 second. Develop a Simulink model to simulate the longitudinal dynamics of a medium-sized passenger plane by in- tegrating the key equations of motion. The model should capture how the pitch angle, forward velocity, and vertical velocity evolve over time under given initial conditions and aerodynamic parameters. Parameters for Simulation: - m = 100000 kg, - Iyy 9100000 kg-m, - S = 75 m, - c = 2 m, - Cmo = 0.10736, - Cm-0.46799, -T 19999.9987 N, = - Cd = 0.055525, - C = 0.3, - p = 1.225 kg/m, - 9 = 9.81 m/s.

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Simulink Model for Longitudinal Dynamics of a MediumSized Passenger Plane This explanation guides you through building a Simulink model to simulate the longitudinal dynamics of a mediumsized passenger ... View the full answer