...retained in its curvilineal path ; and we know that the force by which a body is retained in any curve is directly as the square of the velocity, and inversely as the radius of curvature. The curvature, therefore, remaining the same, the transverse forces, and consequently...

...equal to gravity; that is, its centrifugal force is equal to its own weight. It is also shown that the centrifugal force is directly as the square of the velocity, and inversely as the diameter of the circle in which the body moves. From these principles the following very simple rule...

...equal to gravity; that is, its centrifugal force is equal to its own weight. It is also shown that the centrifugal force is directly as> the square of the velocity, and inversely as the diameter of the circle in which the body moves. From these principles the following very simple rule...

...110 feet per second. It is demonstrated in mechanics that if a body moves in a circle, with a radius of sixteen feet, and a velocity of sixteen feet per...whirlwind is ascertained by the following proportion: — ' ' 1 (gravity) " 110' ' _L_ or TUh part of the gravity. 16 • " 25X5280 ' 74 7' ' And as a wedge...

...110 feet per second. It is demonstrated in mechanics Ihatifa body moves in a circle, with a radius of sixteen feet, and a velocity of sixteen feet per...directly as the square of the velocity, and inversely as (he radius, the centrifugal force of the air in this whirlwind is ascertained by the following proportion:...

...space continue the same, the time and velocity arc inversely proportional to each other ; while the force is directly as the square of the velocity, and inversely as the square of the time. Prop. IV. When the velocity continues the same, the space and time are directly...

...formula we obtain the. normal acceleration n •=• p sin. a = — ; from which we see that it increases directly as the square of the velocity, and inversely as the radius of curvature, or directly as the greatness of the curvature. EXAMPLE. — The radius of curvature of...

...common expression as from a scientific explanation of it. It is found that the centrifugal force varies directly as the square of the velocity and inversely as the radius, and directly as the mass of the body ; hence we have : „ , ., , , weight x (vclocitv)' Centrifugal...

...formula we obtain the normal accelerav1 lion n = p sin. a — — ; from which we see that it increases directly as the square of the velocity, and inversely as the radius of curvature, or directly as the greatness of the curvature. EXAMPLE. — The radius of curvature of...

...Theoretically the force tending to press the wheels against the rail acts horizontally, and varies directly as the square of the velocity and inversely as the radius of the curve, and is expressed by the equation (634) f= the so-called centrifugal force; w, the weight...