UIHistories Project: A History of the University of Illinois by Kalev Leetaru
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Repository: UIHistories Project: War Publications - WWI Compilation 1923 - Article 46 [PAGE 7]

Caption: War Publications - WWI Compilation 1923 - Article 46
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jump lAGB an Ic of aI1, /CTG = *>> S * maximum ordinate DE terms :he am

A

The angle <f>' (or <f>' + c when referred to the horizontal) is th anale which the axis of the bore makes with the line of sight (or with the horizontal) at the instant before firing. However, the axis of the q-un changes its direction by a small (experimentally known) angle j , w hile the projectile moves in the gun, so that at the moment when the projectile leaves the muzzle of the gun, the axis of the bore, and therefore also the tangent to the trajectory at (/, makes an angle <f>' -J- j = <f> with the line of sight (or <f> + e with the horizontal). The angle ; is always very small, but may be positive or negative. In aiming the gun, the (known) jump must be taken into account. In case gun (G) and target (T) be in the same horizontal plane, T coincides with N, the "range" coincides with the "horizontal range/' because e = O, and the angle of departure is equal to the quadrant angle of departure, the angle of elevation equal to the quadrant angle of elevation. For the parabola in this case the angle of fall is equal to the angle of departure, while for the ballistic curve the angle of fall is then greater than the angle of departure.—The angle of site, c, is counted positive when target lies h l h e r t h ? an gun, negative when lower.

. .

PROBLEMS 1. For the following quadrant angles of elevation, jump, site, find he angle of departure and the quadrant angle of departure. Draw curves showing all angles. (Alger, p. 26). Data

Answers 2° 5' 2° 57' 2° 63' 4° 6' '6° 52'

2.

€+<f>

17° 5' 15° 12' r 7°37 5° 31' 0°30'

balloon is about 3000 ft. above the distance from an enemy gun is 4000

Find

the angle of site. gun 3. gun is 700 departure be, at least

7

The

How larj Answer :

2d