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" The force is proportional to the square of the velocity and inversely proportional to the radius of turn during radial acceleration. "
Theoretical mechanics for junior students - Σελίδα 64
των William James Browne - 1872
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Text Book of Mechanical Philosophy: Mechanics

Robert Walker - 1851 - 230 σελίδες
...velocity with which it revolves, and the radius of the circle, as expressed in the following force is proportional to the square of the velocity, and inversely proportional to the radius-of the circle. It is evident, that the tendency to persevere in a straight line will increase...

Manual of mechanics, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1854 - 98 σελίδες
...we obtain The centrifugal force, which is equal and opposite to the deflecting force, is therefore directly proportional to the square of the velocity,...inversely proportional to the radius of the circle described. The equation (12) may be put into a more convenient form, in the following manner. Let T...

Manual of Mechanics

Joseph Allen Galbraith, Samuel Haughton - 1866 - 200 σελίδες
...-, 2 A (20) The centrifugal force, which is equal and opposite to the deflecting force, is therefore directly proportional to the square of the velocity,...inversely proportional to the radius of the circle described. The equation (20) may be put into a more convenient form, in the following manner. Let T...

Natural philosophy. Mechanics, Τόμος 1

J Alfred Skertchly - 1873 - 184 σελίδες
...centrifugal force is, therefore, equal and opposite to the deflecting or centripetal force, and consequently directly proportional to the square of the velocity,...inversely proportional to the radius of the circle described. In other words, the centrifugal force may be found by multiplying the weight of the body...

The Analyst, Τόμοι 9-10

1882 - 452 σελίδες
...center, by a constant force directed to that center, will develop a centrifugal force which will be directly proportional to the square of the velocity...inversely proportional to the radius of the circle. If we put R for the earth's equatorial radius and V for its equatorial velocity per hour (sidereal...

Elementary Dynamics...

W. G. Willson - 1874 - 294 σελίδες
...velocity is, at any instant, directed towards the centre of the circle ; it is constant in amount ; directly proportional to the square of the velocity,...inversely proportional to the radius of the circle. Cor. — When the angular velocity is given, we have (Art. 10) a = no2. When the periodic time is given,...

The Analyst, Τόμοι 8-10

1881 - 608 σελίδες
...center, by a constant force directed to that center, will develop a centrifugal force which will be directly proportional to the square of the velocity...inversely proportional to the radius of the circle. If we put R ibr the earth's equatorial radius and V for ita equatorial velocity per hour (sidereal...

Mechanics for junior students

William James Browne - 1883 - 218 σελίδες
...centripetal force, it is equal and opposite to it ; ie, it acts from the centre, and is = F = = 4W -=j. Hence it is directly proportional to the square of the velocity,...inversely proportional to the radius of the circle; or, it is directly proportional to the radius, and inversely proportional to the square of the periodic...

Experimental Physics

Eugene Lommel - 1899 - 698 σελίδες
...the moving point. There results, C = r The centripetal force is directly proportional to the mass and to the square of the velocity and inversely proportional to the radius of the path. This proposition, which results from the consideration of uniform motion in a circular path,...

Text-book of Physiology, Τόμος 2

Sir Edward Albert Sharpey-Schäfer - 1900 - 1398 σελίδες
...fluid that wets the walls of the tubes. The resistance is proportional to the surface area, nearly proportional to the square of the velocity, and inversely proportional to the sectional area. The formula used by engineers for what they call skin friction is R - kSv2, where R...




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