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bullet nose design incorporating a secant ogive, tangent ogive, Von Kármán ogive or Sears-Haack profile [3] the use of tapered bullet heels, also known as boat-tails [ 1 ] a cavity or hollow in the bullet nose ( hollow point ) to reduce weight while shifting the projectile's centre of gravity rearwards [ 1 ] to improve stability with ...
G7 (long 7.5° boat-tail, 10 calibers secant ogive, preferred by some manufacturers for very-low-drag bullets [60]) G8 (flatbase, 10 calibers long secant ogive) GL (blunt lead nose) Since these standard projectile shapes differ significantly the Gx BC will also differ significantly from the Gy BC for an identical bullet. [61]
Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) [1] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
In this way, this trigonometric identity involving the tangent and the secant follows from the Pythagorean theorem. The angle opposite the leg of length 1 (this angle can be labeled φ = π/2 − θ) has cotangent equal to the length of the other leg, and cosecant equal to the length of the hypotenuse. In that way, this trigonometric identity ...
The hexagonal chart can be constructed with a little thought: [10] Draw three triangles pointing down, touching at a single point. This resembles a fallout shelter trefoil. Write a 1 in the middle where the three triangles touch; Write the functions without "co" on the three left outer vertices (from top to bottom: sine, tangent, secant)
The line segment ¯ has length and sum of the lengths of ¯ and ¯ equals the length of ¯, which is 1. Therefore, cos 2 θ + 2 sin 2 θ = 1 {\displaystyle \cos 2\theta +2\sin ^{2}\theta =1} .
General parameters used for constructing nose cone profiles. Given the problem of the aerodynamic design of the nose cone section of any vehicle or body meant to travel through a compressible fluid medium (such as a rocket or aircraft, missile, shell or bullet), an important problem is the determination of the nose cone geometrical shape for optimum performance.
In general, a pointed projectile will have a better drag coefficient (C d) or ballistic coefficient (BC) than a round nosed bullet, and a round nosed bullet will have a better C d or BC than a flat point bullet. Large radius curves, resulting in a shallower point angle, will produce lower drags, particularly at supersonic velocities.