A mathematical treatise on the motion of projectiles; founded chiefly on the results of experiments made with the author's chronograph

by Francis Bashforth

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1873 ...rf=354in., and--=-7832. The mean coefficient of resistance used is-that, due to a velocity of 1270/-S, and therefore K= 108-5 and log--=-5276, 32 w=16lbs., 2 = 3-24 inches, and--= "6561. The following is a statement of the results. t0=1136-5/, a; = 3101feet, # =-1-09 feet, « = 2"-715, M'8.4= 1018-6/-«, and t'M= 1019-5/-S. Hence it appears that if the 3-3 inch gun was fired at anr elevation sufficient to give the same range as the 36 inch gun when fired at an elevation of 2, the shot fired from the former gun would have a higher striking velocity, but would then have nearly the same inclination to the horizon. As the elevation was increased, the advantage would be more and more in favour of the 3-3 inch gun, both in striking velocity and flatness of trajectory. 70. A spherical shot weighing 84 lbs. is fired from the 100-pounder smooth-bored gun with an initial velocity of 1564 feet per second. The angle of projection is supposed 5". Here F= 1564/-S, w6 = 1564 cos5 = 1558; f=8-9 w = 94lbs.;--=-8427: log-= 9-9256& The mean coefficient for the ascending branch is that due to a velocity of 1300/-S, therefore K= 147-8, and log--=-6619. By the help of proportional parts, the following values of X, Y and T are found from the Tables which give,,.„„ = 2804-9; = 3"'507: But txa = 3559-7;,„ = 3"-077. therefore X =6364-6, Y = 0, T = 6"-584. The striking velocity v'e.079 is found from the equations /10008 /10008 K d% „ and r/.u'secS'Wg. 71. We will now proceed to explain how the tables may be used in calculating the trajectory of an ogival-headed shot when successive arcs are supposed to be described under the action of a retarding force varying as the cube of the velocity. The coefficient of resista...

48 pages, Paperback

Published January 1, 2012