Test Prep Flashcards
(127 cards)
Aspect Ratio Formula
AR=b2/Sref
Taper Ratio Formula
λ=Ctip/Croot
Mean Aerodynamic Chord Formula
CMAC=(2/3)Croot(1+λ+λ2) / (1+λ)
Lift Formula
L=(1/2)𝜌V2CLSref
Drag Formula
D=(1/2)𝜌V2CDSref
Moment Fomula
M=(1/2)𝜌V2CMCMACSref
Lifting Line Theory Formula for Lift-AoA Coefficient
CL𝛼=(2𝜋AR)/(2+AR)
Polhamus Method Formula &
𝛽 value for subsonic
CL𝛼=(2𝜋AR)/(2+sqrt((AR2𝛽2/K2)(1+(tan2Λ50%/𝛽2))+4))
𝛽=sqrt(1-M2)
Slender Body Theory Formula
CL𝛼=𝜋AR/2
Components of 0-Lift Drag Coefficient Formula and Meanings?
CD0=Cf+CDfi+CDw
Where:
Cf=Friction Drag
CDfi=Form & Interference Drag
CDw=Wave Drag (M>0.8)
Equivalent Aircraft & Component Parasite Drag Area Formula D0
𝐷0 = (1/2) 𝜌 𝑉2 𝑆𝑟𝑒𝑓𝐶𝐷0
= (1/2) 𝜌 𝑉2SUMj=1n(SjCD0,j)
Reynolds Number Formula
𝑅𝑒=𝜌𝑉𝑙/𝜇
Component’s Zero Lift Drag Coefficient &
Parasite Drag Area Formulas
𝐶𝐷0,𝑗=𝑐𝑓,𝑗𝐹𝑗
𝑓𝑗=𝑐𝑓,𝑗𝐹𝑗𝑆𝑗
Lift-Induced Drag Coefficient Formula
𝐶𝐷𝑖=𝑘𝐶𝐿2
K-Factors formula
k=1/C𝐿𝛼 when CL >= C Lmax (k0%)
k=1/𝜋𝐴𝑅𝑒
Stability Measure Definition
The offset distance of the neutral point to the acual center of gravity, referring to the aerodynamic reference chord of the wing [%].
Usually -5%…-10% on civil transport aircraft
Stability Measure Definition
The offset distance of the neutral point to the acual center of gravity, referring to the aerodynamic reference chord of the wing [%].
Usually -5%…-10% on civil transport aircraft
Stability measure Formula
𝜕𝐶𝑀/𝜕𝐶𝐿= 𝑥𝐶𝐺/𝑐𝑀𝐴𝐶,𝑊− 𝑥𝐴𝐶/𝑐𝑀𝐴𝐶,𝑊= (𝑥̅𝐶𝐺 − 𝑥̅𝐴𝐶 ) [%]
Neutral Point Fomula
𝑥̅𝐴𝐶 =(𝐶𝐿𝛼,𝑊𝑥̅𝐴𝐶,𝑊 − 𝐶𝑀𝛼,𝑓𝑢𝑠 + ((𝑞𝐻𝑇/𝑞)(𝜕𝛼𝐻𝑇/𝜕𝛼)(𝑆𝐻𝑇/𝑆𝑟𝑒𝑓)𝐶′𝐿𝛼,𝐻𝑇) 𝑥̅𝐴𝐶,𝐻𝑇)/
(𝐶𝐿𝛼,𝑊 + ((𝑞𝐻𝑇/𝑞)(𝜕𝛼𝐻𝑇/𝜕𝛼)(𝑆𝐻𝑇/𝑆𝑟𝑒𝑓 𝐶′𝐿𝛼,𝐻𝑇)))
Trim around Lateral Axis Calculation
𝐶𝑀(𝑥=0) = 𝐶𝑀(𝐶𝐿=0) + (𝜕𝐶𝑀/𝜕𝐶𝐿)𝐶𝐿
Definition of Trim
Balancing of pitching moments. Usually achieved through the horizontal stabilizer. Basically trim is what maintains the aircraft at a certain altitud (and angle of attack) without any other control input.
Weight breakdown of take-off mass
𝑤𝑇𝑂 = 𝑤𝑂𝐸 + 𝑤𝑓𝑢𝑒𝑙 + 𝑤𝑃𝐿
where w0E is the Operating Empty weight (Wairframe, Wprop, Wsys), Wfuel the weight of the fuel and WPL the Payload.
Growth Factor of Payload Formula, Relation TO mass to PL mass.
𝜕𝑚𝑇𝑂 = (𝑚𝑇𝑂/𝑚𝑃𝐿)%𝜕𝑚𝑃𝐿
Vertical Load Factor Formula
𝑛𝑧 = 𝐿/𝑤