. The Civil engineer and architect's journal, scientific and railway gazette. Architecture; Civil engineering; Science. 116 THE CIVIL ENGINEER AND ARCHITECT'S JOURNAL. [April, Fig. its centrifugal velocity would be —-- = 39-44 feet per 4 projectile force. And tlie experiment may he varied by having a number uf balls prepared of the same weight, and varying the velo- cities and the distances from the centre. The effects of gravity, how- ever, and the difficulty of representing by a straight line what may be considered the direction of the circle, have prevented me from deter- mining gtomelr
. The Civil engineer and architect's journal, scientific and railway gazette. Architecture; Civil engineering; Science. 116 THE CIVIL ENGINEER AND ARCHITECT'S JOURNAL. [April, Fig. its centrifugal velocity would be —-- = 39-44 feet per 4 projectile force. And tlie experiment may he varied by having a number uf balls prepared of the same weight, and varying the velo- cities and the distances from the centre. The effects of gravity, how- ever, and the difficulty of representing by a straight line what may be considered the direction of the circle, have prevented me from deter- mining gtomelrical/ij the dinctwn of the projectile, although in prac- tice it may easily be ascertained. If the ball be discharged from the point A with one revolution in a second, its velocity in tlie circle would be 12-57 feet per second, and r= 12-5 2r second, .ind the initial projectile velocity would be;= V 12-57'+39'44- =41-40 feet per second, disregarding for the present atmospheric resistance. And if, in the way of illustration, AF be considered as the direction of the force in the circle AD, the sides Ak and A»i, of the parallelogram Amvk, being made proportionate to the two velo- cities \-l-:>' and 39-50 resj)ectively, the diagonal Ar of tlie parallelo- gram will represent in direction and proportional amount the velocity 41-15 or initial projectile velocity. If a billiard-ball, moving upon a table witli a velocity equal to I2j feet per second in the direction EF, were to receive at A an impulse in the direction of en, which alone would cause it to move with a velocity equal to 31)1 feet per second, no other direction and velocity could be assigned to it, than that de- signated by the diagonal Ar of the parallelogram. The revolving ball is s\ipposed to move in the direction Ak with the velocity of 12-.)7 feet per second, represented by that side of the parallelogram, and at the same time to be acted upon by a force which would cause it to move with a velocity equal to 394 fe
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