The Elements of Hydrostatics and Hydrodynamics

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J. Smith, 1831 - 95 pages

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Page 7 - BPC) ; or, the pressure of a fluid on any surface is equal to the weight of a column of the fluid whose base is equal to the area of the surface, and altitude equal to the depth of the centre of gravity of the surface below the surface of the fluid.
Page 9 - ... surface below the surface of the fluid. A cylindrical vessel is filled with equal masses of two incompressible fluids which do not mix ; supposing the -whole pressures on the upper and lower portions of the concave surface of the vessel to be equal, compare their densities. 4. Prove that the resultant pressure of a fluid on the surface of a solid immersed in it is equal to the weight of the fluid displaced, and acts upwards in the vertical line through the centre of gravity of the fluid displaced....
Page 51 - ... the freezing point is marked 32°, and the boiling point 212°. In the centigrade thermometer...
Page 6 - For let pp be the densities, and za' the altitudes of the fluids above the common surface ; then the pressure referred to a unit of surface of the two fluids at the common surface must be equal and opposite, because there is equilibrium ; call it p ; then, considering the first fluid, we have (Art.
Page 7 - C. of pressure of a plane surface immersed in a fluid is the point in which the resultant of the pressures of the fluid meets the surface.
Page 11 - ... equal to the weight of the water displaced, and the line joining the centres of gravity of the solid and water displaced must be vertical.
Page 51 - Now, the weight of a column of air of the height of the atmosphere is equal to that of a column of mercury twenty-eight inches high, or of a column of water of the height of about thirty-three feet.
Page 16 - Describe the experiment by which it is shewn that the pressure of air at a given temperature varies inversely as the space it occupies.
Page 59 - Air-pump, and find the density of the air in the receiver after any number of ascents of the piston.
Page 72 - H, which is forced open by the pressure of the steam when first admitted, and is conveyed by a pipe into a cistern communicating with the boiler.

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