...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...

...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...

...-, 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...

...centripetal force, and is therefore equal and opposite to it. Hence it is=/ = — . That is, it is directly proportional to the square of the velocity,...inversely proportional to the radius of the circle. This gives the centrifugal force of the unit of mass. On any mass m the centrifugal force is — 132....

...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...

...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,...

...wholly independent of any consideration of force whatever. (For a demonstration of this proportion see American Journal of Science for 1852, Vol. XIII,...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 time), we have...

...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...

...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,...

...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...