. Appleton's dictionary of machines, mechanics, engine-work, and engineering. 0-4281-2112-226 456 3-225 4-5075-925 3-4274-7896-295 789 7-466 9-122 10-884 7-933 9-692 11-564 101112 12-74814-70716-758 13-53515-63217-805 131415 18-89521-11723-419 20-07622-43724-883 16 1718 25-80028-26830-786 27-4133002432-710 4 4 Q = 200X-X7i/-= 2155-3 cubic o To find the mean curve described by the lamina of fluid discharged upon the circumference of thewheel, when the water is carried over its summit, it is. necessary, in the first place, to determine thevelocity of the fluid vein at that point. Its rate
. Appleton's dictionary of machines, mechanics, engine-work, and engineering. 0-4281-2112-226 456 3-225 4-5075-925 3-4274-7896-295 789 7-466 9-122 10-884 7-933 9-692 11-564 101112 12-74814-70716-758 13-53515-63217-805 131415 18-89521-11723-419 20-07622-43724-883 16 1718 25-80028-26830-786 27-4133002432-710 4 4 Q = 200X-X7i/-= 2155-3 cubic o To find the mean curve described by the lamina of fluid discharged upon the circumference of thewheel, when the water is carried over its summit, it is. necessary, in the first place, to determine thevelocity of the fluid vein at that point. Its rate of descent from the horizontal line mn, in Fig. 3S08,may then be assigned by the following method: Let u designate the velocity of the water at the ex-tremity of the course, and a the angle, which the direc-tion-board of the spout forms with the horizontal linem n, and which expresses the deflection of the linedenoting the velocity u from the plane of the horizon;then the curve described by the sheet of water will beexpressed by the equation 3808. y 2 v? cos2 a + x tan a,. x being the abscissa? measured upon the horizontalplane, taken at half the depth of the fluid vein, wherethe mean velocity is u; and y the vertical ordinates referred to the same initial point at )/. This equation may be expressed verbally thus: To find the ordinates of the mean curve described by the water issuing upon a wheel from a shuttleof which the direction-board is inclined at a small angle with the horizontal plane, corresponding to anygiven horizontal abscissa; of the curve, multiply double the square of the velocity u of the water at theextremity of the direction-board by the square of the cosine of the angle formed by its direction withthe horizontal plane, and by this product divide the square of the given abscissa multiplied into </ =32-2. To the quotient which results, add the product of the same abscissa, multiplied into the tangentof the angle a of the velocity u with the plane m n. The s
Size: 2148px × 1163px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1800, booksubjectmechanicalengineering, bookyear1861
