A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page 5
... upper and lower portions may be respectively in the ratio of m : n . Let h be the altitude of the proposed triangle , and h ' that of the triangle cut off by the dividing line . Let c be the length of the base of the proposed triangle ...
... upper and lower portions may be respectively in the ratio of m : n . Let h be the altitude of the proposed triangle , and h ' that of the triangle cut off by the dividing line . Let c be the length of the base of the proposed triangle ...
Page 6
... upper . 4. To find the pressure which a diver sustains when the centre of gravity of the surface of his body is 32 feet under water . " The surface of a middle - sized human body is about 10 square feet . Multiply then 32 , the depth of ...
... upper . 4. To find the pressure which a diver sustains when the centre of gravity of the surface of his body is 32 feet under water . " The surface of a middle - sized human body is about 10 square feet . Multiply then 32 , the depth of ...
Page 9
... right - angled triangle with the squares on its sides , is placed with the upper side of the square opposite to the right angle in the surface of the fluid ; to compare the sum of the pressures on the squares NORMAL PRESSURE OF FLUIDS . 9.
... right - angled triangle with the squares on its sides , is placed with the upper side of the square opposite to the right angle in the surface of the fluid ; to compare the sum of the pressures on the squares NORMAL PRESSURE OF FLUIDS . 9.
Page 16
... upper surface of the ath fluid . Then , p being the unit of pressure at the annulus , p = g ( p1 a1 + P2 а z + Pz Az + ... + P2 - 1 a 2-1 ) + gp 2 : 20 but , the masses of the several fluids being equal 16 NORMAL PRESSURE OF FLUIDS .
... upper surface of the ath fluid . Then , p being the unit of pressure at the annulus , p = g ( p1 a1 + P2 а z + Pz Az + ... + P2 - 1 a 2-1 ) + gp 2 : 20 but , the masses of the several fluids being equal 16 NORMAL PRESSURE OF FLUIDS .
Page 20
... upper end of the vessel ; then and therefore p = C. , B = C , p = B. ¿ 12 . Hence , c denoting the circumference of a horizontal section and h the altitude of the cylinder , the required pressure will be equal to h h [ ^ c . dz . Beλ2 ...
... upper end of the vessel ; then and therefore p = C. , B = C , p = B. ¿ 12 . Hence , c denoting the circumference of a horizontal section and h the altitude of the cylinder , the required pressure will be equal to h h [ ^ c . dz . Beλ2 ...
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Common terms and phrases
ABCD Albert Girard altitude angular velocity aperture axis axis of revolution axis vertical base Bernoulli Bossut Traité Cambridge centre of gravity centre of pressure cone constant quantity cos² Daniel Bernoulli denote the density denote the length denote the radius depth determine distance dx dy Edition elastic equal equation filled with fluid floating fluid displaced free surface given hemisphere Hence humidum inclination incompressible fluid integrating James Bernoulli John Bernoulli lamina latus rectum mass motion oscillation parabola paraboloid of revolution parallel particles Phoronomia portion position of equilibrium position of rest problem ratio represent right angles sesquialterum sin² small orifice solid cylinder specific gravity sphere supposed Traité d'Hydrodynamique Treatise triangle tube vertex volume w³y² weight whole pressure
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