Elements of Physics; 2D Ed Volume 1

Elements of Physics; 2D Ed Volume 1

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1854 edition. Excerpt: ...to the weight of all the drops above it to the surface of the fluid. The lateral pressure must therefore vary as the depth. The pressures on all the sides of a vessel are together equal to the weight of a column of fluid whose base is equal to the sum of the tides, and depth equal to the depth of the centre of gravity of the surface. In the case of an upright vessel, it is therefore equal to the weight of half the fluid contained. On any portion of the side the pressure is equal to a column of fluid having that portion of the side 144 LATERAL PRESSURE. for its base, and the depth of the centre of gravity of the surface for its height. As every particle of the fluid exerts a pressure horizontally on the sides proportioned to its depth below the surface ( 148.), this may be represented for every particular point in the side by a horizontal line equal to the depth of the point below the surface. Let fig. 77. represent the vertical Fig. 77. section of a vessel filled with fluid to the brim, AB the depth of the fluid, then the lateral pressure at F = FG or FA.atB = BE or BA. In like manner the pressure may be deduced for any point in AB; whence the horizontal pressure for the whole line AB may be expressed by the A ABE. But every line in that side parallel to AB sustains an equal pressure; whence the entire horizontal or lateral pressure borne by the perpendicular side ABKG=the weight of a triangular pyramid ABELKG of the fluid. Put rf= the depth AB, its breadth b = AK, and the weight of a cubical unit of the fluid = w, then the pressure P on the side ABGK will be P--w. 2 If the side be a square, P=--.10. 2 If the side be no rectangular figure, let A represent its area, and the horizontal pressure on any one of its sides, whatever the form will...show more

Product details

  • Paperback | 104 pages
  • 189 x 246 x 6mm | 200g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236501209
  • 9781236501202