3,. cao) Consider a covemtionally-confguredaircrat in level night at 200 mu/s, w

Question

3,. cao) Consider a covemtionally-confguredaircrat in level night at 200 mu/s, with the simplified loading as shown Lt a) Find the values of the lift on the wings, L, and the tail, Lt, which acts on the horizontal stabilizer b) The jack screw which positions the horizontal stabilizer suffers a failure resulting in an essentially instantaneous change in the angle of attack of the stabilizer, causing the tail lift to change direction (to "up"). Find the angular acceleration of the aircraft, which has a mass moment of inertia of 50 Gg-m

Explanation / Answer

3. given conventional aircraft

in level flight

u = 200 m/s

a. from moment balance about G

L*1 + Lt*30 = 0

also

let wiight of the plane be W

then

L + Lt = W ( from forcer balance)

hence

Lt = -W/29

hence

L = 30W/29

b. I = 50 *10^6 kg m^2

for lift direction Lt to be considered upwards

intiial angular accelelration = alpha

alpha = (Lt*30 + L*1)/I = 60W/29*50*10^6 = 4.13*10^-8 W

where W = mg ( weight of the plane)

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