the formulas say you are a clown
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Forces are
vector quantities having a magnitude and a direction. The resulting
acceleration, velocity and displacement of the aircraft are also vector quantities which can be determined by Newton's
second law of motion and the rules of
vector algebra. There are two
component equations for the force on an aircraft. One equation gives the the net vertical force
Fv, and the other gives the net horizontal force
Fh. If we denote the thrust by the symbol
T, the lift by
L, the drag by
D, and the weight by
W, the usual force equations for an aircraft in level flight are:
Vertical: L - W = Fv
Horizontal: T - D = Fh
The quantity
(T - D) is called the
excess thrust and is related to the aircraft's ability to accelerate. Good fighter aircraft have high excess thrust. The ability to
climb and maneuver involves the vertical net force as well as the excess thrust. Since the thrust force is already a large force for fighter aircraft, designers have sought ways to bring this force into the vertical equations of motion. With new mechanical systems it is possible to deflect the engine exhaust from the nozzle and
cant the thrust vector at an angle. We will call this angle
c. The resulting force equations are shown on the slide:
Vertical: L - W + T sin(c) = Fv
Horizontal: T cos(c) - D = Fh
where
sin and
cos are the
trigonometric sine and cosine functions. The thrust now appears in the vertical force equation. This allows the aircraft to climb faster than an aircraft without thrust vectoring and to execute sharper turns than an un-vectored aircraft. For moderate angles, the
cos is nearly equal to one, so the aircraft still has high excess thrust. The horizontal acceleration
ah and vertical acceleration
av of the aircraft are given by:
av = Fv /m
ah = Fh /m
As a conclusion Su-30MKI turn sharper than Su-30/J-16