Elements of mechanics: for the use of colleges, academies, and high schools (1859)
Peck, William G. (William Guy), 1820-1892 · New York, A. S. Barnes & Burr · leaf 203
rical. Let A be any point on thesurface, PQP a meridiansection through A, PP theaxis, FQ the equator, andAB perpendicular to PP\the radius of the parallel oflatitude through A. Denotethe radius of the earth by r,the radius of the parallelthrough A by r, and thelatitude of A, or the angleACQ, by I.… … v : v whence, vr But, from the right-angled triangle CAJB, since the angleat A is equal to I, we have, r = rcosl. Substituting this value of r in the value of v\ and re-ducing, we have, v = vcosl. CURVILINEAR AND ROTARY MOTION. 201 If we denote the acceleration due to the centrifugal forceat the…
Mechanics
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