The Principles of Hydrostatics Designed for the Use of Students in the Universi
The Principles of Hydrostatics Designed for the Use of Students in the Universi
Samuel Vince
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Experiment. Theory. Power. 10 0, 0112 0, 0012 20 0, 0364 0, 0093 30 0, 0769 0, 0290 40 0, 1174 0. 0616 , 73, 73, 54, 54, 51 50 0, 1552 0, 1043 60 0, 1902 0, 1476 1, 38 70 0, 2125 0, 1926.. 1, 42 80.... 0, 2237 0, 2217 2, 41 90 0, 2321 0, 2321 The first column shows the angle at which the plane struck the fluid ; the second shows the resistance by experiment, in troy ounces; the third, by theory; the fourth, the power of the sine of the angle to which the resistance by experiment is proportional.... The fourth column was thus computed. Let ?=: sine of the angle, to radius unity, r resistance at that angle, and suppose r to vary as s m ; then l m : s m :: log. R log. 0, 2321 0, 2321 : r : hence, m-^ r & : and log. S substituting for r and s their several corresponding values, we get the values of m in the table. Now the theory varies as the cube of the -sine ; hence it appears that the actual resistance at these angles is always greater than that given by theory. In theory, the re- sistance perpendicular to the plane = the weight of a column of fluid whose base is 3, 73 inches and altitude 0, 08124, the space through which a body must fall to I acquire the velocity of 0, 66 feet.
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