Scientific American Supplement, No. 531, March 6, 1886 by Various
page 43 of 142 (30%)
page 43 of 142 (30%)
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same as before.
In taking the versed sine of 6°, a minute error is involved, though not one large enough to change the last figure in the above quotient. The law of uniform acceleration does not quite hold when we come to an angle so large as 6°. If closer accuracy is demanded, we can attain it, by taking the versed sine for 1°, and multiplying this by 6². This gives as a product 0.0054829728, which is a little larger than the versed sine of 6°. I hope I have now kept my promise, and made it clear how the coefficient of centrifugal force may be found in this simple way. We have now learned several things about centrifugal force. Let me recapitulate. We have learned: 1st. The real nature of centrifugal force. That in the dynamical sense of the term force, this is not a force at all: that it is not capable of producing motion, that the force which is really exerted on a revolving body is the centripetal force, and what we are taught to call centrifugal force is nothing but the resistance which a revolving body opposes to this force, precisely like any other resistance. 2d. The direction of the deflection, to which the centrifugal force is the resistance, which is straight to the center. 3d. The measure of this deflection; the versed sine of the angle. 4th. The reason of the laws of centrifugal force; that these laws merely express the relative amount of the deflection, and so the amount of the |
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