Formulas Flashcards
Wing loading
Load = weight/wing area
Glider = small wing loading
High wing loading = high adverse pressure gradient
Flow energy is lost quicker, earlier stall onset
Calculating Vs
Vs=Vs1g x square root of the Lf
Pitching angle
AoA + flight path angle
Lift in a turn
= wcosgamma
Thrust in a climb
Thrust = D + wsingamma
Flight path angle
Singamma = T-D/w
LF in a climb
Cosgamma
Power required in a climb
Drag x TAS
Power available in a climb
Thrust x TAS
% gradient in a climb
T-D/W x 100
Rule of thumb for % gradient
5%= 3 degrees
How to turn the L/D ratio into a digit to work with
Turn the mass into N
Divide by the ratio number
Thrust in a descent
D - wsingamma
Glide range
Height x L/D ratio
Rate of descent
Angle x speed
Vmp
Centripetal force
M x v2 / r
Remember speed in a turn is a velocity so it’s always m/s
Angle of bank
v2/r x g
Radius of a turn
v2 / g tanø
If speed increases by 2x, radius increases by 4x
Time taken to complete a 360 degree turn
Find the radius = v2 / g tanø
Find the circumference using 2 x pi x r
Now use time = distance/speed
Rate of turn
TAS/radius x 60 = degrees/s
Double the speed, rate of turn is decreased by half
Angle of bank
TAS(kts)/10 + 7degrees
Propeller efficiency
Thrust power (output) / shaft power (input)
Calculating Mach
TAS/LSS
Calculating LSS
LSS = 39 x square root of temp in kelvin
Continuity
A1 V1 rho1 = A2 V2 rho2 = A3 V3 rho3
Bernoulli
Pt = Ps + q
Stall speed new
Old stall speed x square root weight new/weight old
3 step method
Decide if answer is bigger or smaller
Write equation
Is speed a variable N - ignore this step
Y - do you know the speed change Y - square N - square root
1/V2
Induced drag
Cdi
CL2 / Aspect ratio
Aspect ratio
Span/chord
Span2/area
Always bigger than 1
Taper ratio
Tip chord/root chord
Always smaller than 1
1/Mach number
SinU
Stick force/g
Stick force/change in LF from 1g
Va new
= Va old x square root of new weight/old weight
Gust load factor GLF
Change in LF away from 1g and is proportional to speed
Use the first 2 steps in the 3 step method but remove 1g from all load factors and once calculated add 1g back on to find the actual GLF
T/D - CD/CL
Another way of writing singamma