Aviation formulas & Functions Flashcards
Load factor
1/Cos(bank angle)
Turn radius
V^2 / g*tan(bank angle)
Lift formula
Cl * Q * S
Where
Cl: lift coeffitient
Q: dynamic pressure = 1/2 * rho * V^2
rho: air density
V: TAS
S: wing surface area
Thrust formula in a dive
Thrust = Drag - weight*sin(dive angle)
Drag formula
Drag = Cd * Q * S
Induced drag coefficient and lift coefficient relationship
Cdi ~ Cl^2
Climb gradient from climb angle
Gradient = sin x * 100
Delta LF in terms of Vs
Delta LF = (V0 / V1)^2
Where V0 and V1 are a function of Vs
New Vs in terms of LF
New Vs = (LF^1/2) * Vs1
LF in terms of Weight and Lift
LF= L/W
Wind shear speed classification
In knots:
0-4 light
5-8 moderate
9-12 strong
12< severe
As vector change within 30m starting 10m above ground
Height of air column as function of pressure
Feet / hPa = (96*t) / Pressure
t in Kelvin
Pressure in hPa
Weather system classification / wind speed
Above 33kt tropical storm
Above 63kt cyclone (or hurricane or typhoon)
Sustained wind = avg speed over 10m / over 1m in US
Coriolis force formula
2ωρvsin(lat)
Flight levels / pressure charts
FL 50 850 hPa
FL 100 700 hPa
FL140 600 hPa
FL 180 500 hPa
FL 240 400 hPa
FL 300 300 hPa
FL340 250 hPa
FL390 200 hPa
FL 450 150 hPa
ΔCG / new mass
Δmass / new total mass = ΔCG /distance moved
ΔCG / old mass
Δmass / old mass = ΔCG /distance from new CG
Aircraft weighing steps
- measure mass per wheel
- measure distance between nose and main wheels, this will be the moment arm
- select a datum (preferably main wheels to zero their moment)
- calculate moments and sum them
- CG is total mass / total moment.
neg. value is fwd from the datum