Carhart, Henry S. (Henry Smith), 1844-1920 · Boston : Allyn and Bacon · leaf 41
rd thecentre. It is required to find the value of this centripetalacceleration. Let v be the velocity along thecircumference. Then if AD (Fig.14) be traversed in the interval t, AD = vt. The change of motion from AC,which is the direction of the path atA, to AD is AE. It will be noted,however, that… … where /is the required acceleration. If now AD is an indefinitely short arc, then the trianglesAED and ADB are similar, andAE AD or Let r be the radius of the circle. Substituting the valuesof AD, AE, and AB, and Whence (IT) KINEMATICS. 31 If T is the period of the complete revolution of thepoint,…
Physics
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