16100lecture8_cg

# 16100lecture8_cg - Equations of Aircraft Motion Force...

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Equations of Aircraft Motion Force Diagram Conventions Definitions V flight speed θ angle between horizontal & flight path α angle of attack (angle between flight path and chord line) W aircraft weight L lift, force normal to flight path generated by air acting on aircraft D drag, force along flight path generated by air acting on aircraft M pitching moment T propulsive force supplied by aircraft engine/propeller T angle between thrust and flight path To derive the equations of motion, we apply = a m F K K (1) Note: we will not be including the potential for a yaw force. Applying (1) in flight path direction: dV Fm am dt == && and examining the force diagram cos sin T FT DW =− & cos sin T dV TD W m dt αθ ⇒− = (2) Chord line Flightpath θ α T α θ V M W D T Horizontal

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Equations of Aircraft Motion 16.100 2002 2 Now applying (1) in direction to flight path 2 c V Fm a m r == where c r radius of curvature of flight path sin cos T FL T W α θ =+ 2 sin cos T c V LT W m r αθ ⇒+ = (3) Equations (2) & (3) give the equations of motion for an aircraft (neglecting yawing motions) and are quite general.
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16100lecture8_cg - Equations of Aircraft Motion Force...

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