View Full Version : Calculation of (n) loadfactor?

Founder

22nd Nov 2006, 16:31

Does anyone know how to calculate the load factor when knowing only the airspeed and the radius of a turn?

For example

V = 200 kt

R = 2000 m

And how do you calculate the load factor from the angle of bank?

Anyone?

Rosanna

22nd Nov 2006, 16:56

Does anyone know how to calculate the load factor when knowing only the airspeed and the radius of a turn?

For example

V = 200 kt

R = 2000 m

And how do you calculate the load factor from the angle of bank?

Anyone?

Take a look here:

http://www.aerospaceweb.org/question/performance/q0146.shtml

Ciao!!!

Rosanna

ICEMAN757200

22nd Nov 2006, 17:33

Being : R= Radius, G= Gravity force, V= Speed, a= Bank Angle,n= Load Factor.

1:R=V*V/(G*Tan(a))

2:n=1/cos(a)

from 1 we find that:

R/(V*V)=1/Tan(a)

Tan(a)=V*V/R

a=Tan -1 (V*V/R)

thus

n= 1/(cos(Tan-1 (V*V/R)))

:ok: ps: Watch out ! use the correct units of measure.

ICEMAN757200

22nd Nov 2006, 17:39

Sorry i forgot the "G" :} so

a=Tan-1 (V*V/(R*G))

thus

n=1/(Cos(Tan-1 ((V*V/(R*G))) :8

Founder

1st Dec 2006, 10:28

Impressive, Thanx =)

Gary Lager

1st Dec 2006, 14:24

'g' from AoB is much easier.

since the vertical component must equal the weight, and AoB is also the angle to the vertical at which the Lift acts;

L cos AoB = W.

load factor by definition is L/W, so rearranging gives

L/W = 1/cos AoB

n = 1/cos AoB

ICEMAN757200

1st Dec 2006, 14:32

Thatīs right but he didnīt had the AOB, only the turn radius was given.

Gary Lager

1st Dec 2006, 14:45

Thanks for that, Ice - F may not have had AoB to start with but he did ask:

And how do you calculate the load factor from the angle of bank?

:ok:

ICEMAN757200

2nd Dec 2006, 12:58

Oops!! my mistake :8 :ok:

AVGASJETA1

14th Jan 2015, 09:07

Hi ICEMAN

Could you pls use the 200kts and the 2000m in you formula?