Elementary Hydrostatics |
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Page 33
... vertex upwards , be filled with water , and if r be the radius of the base and h the height of the cone , the pressure on the base = warh , or gρπr2h , that is , the weight of the cylinder of fluid on the same base as the cone , and of ...
... vertex upwards , be filled with water , and if r be the radius of the base and h the height of the cone , the pressure on the base = warh , or gρπr2h , that is , the weight of the cylinder of fluid on the same base as the cone , and of ...
Page 36
... vertex of the cone as their common vertex , and having for their bases the sides of a polygon inscribed in the circle , and since the centre of gravity of each triangle is at a depth 1 below the surface of the fluid , it follows that 3h ...
... vertex of the cone as their common vertex , and having for their bases the sides of a polygon inscribed in the circle , and since the centre of gravity of each triangle is at a depth 1 below the surface of the fluid , it follows that 3h ...
Page 38
... vertex and F the middle point of the base . The centre of pressure therefore divides EF in the ratio 2 : 1 . In a similar manner , the centres of pressure of a tri- angle with an angular point in the surface and its base horizontal , or ...
... vertex and F the middle point of the base . The centre of pressure therefore divides EF in the ratio 2 : 1 . In a similar manner , the centres of pressure of a tri- angle with an angular point in the surface and its base horizontal , or ...
Page 39
... vertex upwards , is just filled with liquid ; find the whole pressure on its curved surface . 9. Prove that the depth of the centre of pressure of a plane area is greater than the depth of the centre of gravity of the area . 10. Find ...
... vertex upwards , is just filled with liquid ; find the whole pressure on its curved surface . 9. Prove that the depth of the centre of pressure of a plane area is greater than the depth of the centre of gravity of the area . 10. Find ...
Page 47
... water is held with its vertex downwards ; it is required to determine the resultant pressure on either of the portions into which it is divided by a vertical plane through its axis . Let a be the radius of the base and 2a Examples . 47.
... water is held with its vertex downwards ; it is required to determine the resultant pressure on either of the portions into which it is divided by a vertical plane through its axis . Let a be the radius of the base and 2a Examples . 47.
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Common terms and phrases
1+at air-pump angle aperture atmospheric air atmospheric pressure axis vertical barometer base body Cambridge centre of gravity centre of pressure CHAPTER closed column compressed condensation cubic cubic foot curved surface cylinder cylindrical vessel density depth diameter displaced Edition elastic feet filled with liquid filled with water find the pressure fluid pressure force gases Geometrical given glass heat Hence horizontal plane hydrometer Hydrostatic inclined increase instrument latus rectum mass mercury mixture motion paraboloid particles pipe piston portion position of equilibrium prove pump quantity radius ratio resultant pressure resultant vertical pressure rotate shew side solid sound specific gravity sphere spherical square inch St John's College standard substance steam string suppose temperature tension Thermometer tion triangle Trinity College tube unit of weight upper valve vapour velocity vertex vertical cylinder vibrations whole pressure
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