## The Elements of Hydrostatics and HydrodynamicsJ. Smith, 1831 - 95 pages |

### From inside the book

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**axes**of the cylinders in which they play ; p + dp , q + dq , r + dr , & c . their distances from the same points after they have been moved in any manner . Then since the volume of the fluid in the vessel remains the same , a.Sp + b.dq ... Page 7

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**axes**OX , OY . Then since the pressures are parallel to each other , we shall have , ( Whewell's Mechanics Art . 84. ) X. ( pressure on ABC ) = moment of pressure on ABC round OY , Y. ( pressure on ABC ) = moment of pressure on ABC ... Page 8

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**axis**OY , the values of X and Y would be those of the co - ordinates of its centre of percussion . 18. To find the vertical pressure of a fluid on any surface . Let ABR ( fig . 11. ) be a vertical cylindrical column of fluid in a mass ... Page 13

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**axis**of x , and CY ( perpendicular to ACa ) the**axis**of y , ( wedge ACa ) . Cm = 20 x2y , from C to A , ( wedge BCb ) . Cn = 20 , x2y , from C to B. But 2fy from C to A + 2y from C to B = 2x2y from A to B = k2 A , k2 A being the moment ... Page 16

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**axis**of AB vertical . Pour mercury into DB till it rises to P , cutting off the communica- tion between AB and BD , and then seal the aperture at A. Let mercury be now poured in till the horizontal plane through the surface of the ...### Other editions - View all

### Common terms and phrases

½ pv² a² x² accelerating force air displaced altitude apparent weight ascend atmospheric pressure axis bell centre of gravity centre of pressure column of fluid column of mercury cone density depth equal equation filled with fluid flask fluid at rest fluid displaced glass tube gpa³ Hence HK ult hollow cylinder horizontal plane HYDROMETER immersed inches of mercury meet the surface moment of inertia motion occupied the space orifice parallel perpendicular piston plane of floatation plate PQ round pressure on ABC pressure on PQ prism proper limits pump radius resistance round OA S. G. fluid S.G.fluid specific gravities stream impels syphon temperature tension thermometer valve opening upwards velocity vertical vessel volume

### Popular passages

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.