A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page 4
... circular ends being h , h ' , its radius r , and its length 7 ; to determine the pressure on its surface , including its extremities . The areas of its two ends are each equal to r2 , and , the depth of the centre of gravity of one ...
... circular ends being h , h ' , its radius r , and its length 7 ; to determine the pressure on its surface , including its extremities . The areas of its two ends are each equal to r2 , and , the depth of the centre of gravity of one ...
Page 11
... circular area is immersed vertically in a fluid , and has a point of its circumference in the surface ; the circular area being divided into two parts by a straight line drawn from its highest point at an angle of 45 ° to the horizon ...
... circular area is immersed vertically in a fluid , and has a point of its circumference in the surface ; the circular area being divided into two parts by a straight line drawn from its highest point at an angle of 45 ° to the horizon ...
Page 13
William Walton. on the whole area of the cycloid with that on a circular area of which the axis of the cycloid is a diameter . If P denote the pressure on the cycloidal and Q on the circular area , then P : Q : 7 : 2 . 25. An elliptic ...
William Walton. on the whole area of the cycloid with that on a circular area of which the axis of the cycloid is a diameter . If P denote the pressure on the cycloidal and Q on the circular area , then P : Q : 7 : 2 . 25. An elliptic ...
Page 15
... circular section , p the density at the lowest points of the fluid and p ' at any depth x . Then gp dp = gp'dx = 2 x dx , h др x dx p - h h = дрог 2h Hence the whole pressure required is equal to Sh9pz2 2h c dx = \ gpch2 . Encycl ...
... circular section , p the density at the lowest points of the fluid and p ' at any depth x . Then gp dp = gp'dx = 2 x dx , h др x dx p - h h = дрог 2h Hence the whole pressure required is equal to Sh9pz2 2h c dx = \ gpch2 . Encycl ...
Page 16
... circular area from its centre , and 0 the inclination of this distance to the vertical . Then , the pressure on an elemental area rde dr being gB rde dr.p 2a rdo dr.x2 = gB 2a rdė dr . ( a - r cos 0 ) 2 , the whole pressure on the circular ...
... circular area from its centre , and 0 the inclination of this distance to the vertical . Then , the pressure on an elemental area rde dr being gB rde dr.p 2a rdo dr.x2 = gB 2a rdė dr . ( a - r cos 0 ) 2 , the whole pressure on the circular ...
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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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