Expert: Marc Ebelini - 2/6/2011

Question
Two planes are flying at the same speed and altitude at a distance of 200 feet (laterally) between them and they bank to one side at 80 degrees.  If the plane on the outside of the turn increases his speed to stay in the same relative position (laterally) as the inside plane, which one of the planes/pilots will experience the highest G load?

Answer
My calculus is is poor at my age so I cannot give you proof. But will try to explain my conclusion. Since the centripetal force is a function the the angular change rate in direction the plane on the outside may increase speed but is angular rate of change is slower because of the larger radius. So I would conclude because of their closeness the "G" force would be the same. Now I am aware that there is a square law involved in that an increase in speed effects the equation. Double the speed in the same rate of change quadruples the "G" force. But since we increased the radius in this case it may be negated. The only way to prove my answer would be to write both equations and compare the answer. Don't forget the force involves the weight of the airplane and pilot so in writing the equation this must be considered. Remember the 200 foot separation ratio in relation to the actual radius is very small. There would be a slight difference mathematically but not that might show up on a "G" meter. May I bring to your attention that the outside plane is going faster but they are both rotating at the same speed around the pivot point.