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Suppose a missile can fly in vertical direction as shown in the bellow figure. The forces acting on the missile are weight, drag and thrust. We assume that air density and gravitational acceleration are constant and following parameters are given: p= 1.2 kg/m³, V=200m/s, S = 0.2 m², m= 1000kg. Cp = 0.2, g=10 m/s2 A) Calculate the thrust of the missile for unaccelerated flight. B) Drive the equations of motion in state space form when the states of the system are velocity and altitude. Assume that the altitude is output of the system and thrust is input to the system. C) Linearize the state space equations around unaccelerated motion. ↑Y 7777

Suppose a missile can fly in vertical direction as shown in the bellow figure. The forces acting on the missile are weight, drag and thrust. We assume that air density and gravitational acceleration are constant and following parameters are given: p= 1.2 kg/m³, V=200m/s, S = 0.2 m², m= 1000kg. Cp = 0.2, g=10 m/s2 A) Calculate the thrust of the missile for unaccelerated flight. B) Drive the equations of motion in state space form when the states of the system are velocity and altitude. Assume that the altitude is output of the system and thrust is input to the system. C) Linearize the state space equations around unaccelerated motion. ↑Y 7777

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Suppose a missile can fly in vertical direction as shown in the bellow figure. The forces acting on the missile are weight, drag and thrust. We assume that air density and gravitational acceleration are constant and following parameters are given: p= 1.2 kg/m³, V = 200m/s, S = 0.2 m², m= 1000kg. Cp = 0.2, g-10 m/s² A) Calculate the thrust of the missile for unaccelerated flight. B) Drive the equations of motion in state space form when the states of the system are velocity and altitude. Assume that the altitude is output of the system and thrust is input to the system. C) Linearize the state space equations around unaccelerated motion. D) Find the transfer function of system to the initial condition and input. ↑ 777
Transcribed Image Text:Suppose a missile can fly in vertical direction as shown in the bellow figure. The forces acting on the missile are weight, drag and thrust. We assume that air density and gravitational acceleration are constant and following parameters are given: p= 1.2 kg/m³, V = 200m/s, S = 0.2 m², m= 1000kg. Cp = 0.2, g-10 m/s² A) Calculate the thrust of the missile for unaccelerated flight. B) Drive the equations of motion in state space form when the states of the system are velocity and altitude. Assume that the altitude is output of the system and thrust is input to the system. C) Linearize the state space equations around unaccelerated motion. D) Find the transfer function of system to the initial condition and input. ↑ 777
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