Text-book of general physics, for the use of colleges and scientific schools (1899)
Hastings, Charles Sheldon · Boston: Ginn & company · leaf 45
sent the velocity whenthe particle is at A, andVT the velocity at theend of a small intervalof time, r. Also, let crdenote the speed, and a the angle A OB. Then, by thedefinition of acceleration, vv — va f = limit — T 7 = 0 Constructing the triangle abd according to the rule forsubtracting vectors… … Fig. 21. (26) ab = lad sin - = 2<r sin whence, by substitution, (27) . 2o- sill i« ... eraf— limit = limit —j 7=0 7=0 UNIFORM CIRCULAR MOTION. 35 Obs serving since the angle and its sine have the same limit. (TT that AB = err and hence a = —, the expression for the r acceleration becomes _2 (28)…
Physics
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