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Centrifugal force is a fictitious force in Newtonian mechanics (also called an "inertial" or "pseudo" force) that appears to act on all objects when viewed in a rotating frame of reference. It appears to be directed radially away from the axis of rotation of the frame.
Coriolis referred to this force as the "compound centrifugal force" due to its analogies with the centrifugal force already considered in category one. [9] [10] The effect was known in the early 20th century as the "acceleration of Coriolis", [11] and by 1920 as "Coriolis force". [12]
By Newton's second law, the cause of acceleration is a net force acting on the object, which is proportional to its mass m and its acceleration. The force, usually referred to as a centripetal force, has a magnitude [7] = = and is, like centripetal acceleration, directed toward the center of curvature of the object's trajectory.
The Lorentz force law provides an expression for the force upon a charged body that can be plugged into Newton's second law in order to calculate its acceleration. [ 75 ] : 85 According to the Lorentz force law, a charged body in an electric field experiences a force in the direction of that field, a force proportional to its charge q ...
The centripetal and centrifugal force can also be found using acceleration: = ˙ = ˙ = = The vector relationships are shown in Figure 1. The axis of rotation is shown as a vector ω perpendicular to the plane of the orbit and with a magnitude ω = dθ / dt .
The centrifugal force is given by the equation: = where m is the excess mass of the particle over and above the mass of an equivalent volume of the fluid in which the particle is situated (see Archimedes' principle) and r is the distance of the particle from the axis of rotation. When the two opposing forces, viscous and centrifugal, balance ...
Newton illustrates his formula with three examples. In the first two, the central force is a power law, F(r) = r n−3, so C(r) is proportional to r n. The formula above indicates that the angular motion is multiplied by a factor k = 1/ √ n, so that the apsidal angle α equals 180°/ √ n.
Eliminating the angular velocity dθ/dt from this radial equation, [47] ¨ = +. which is the equation of motion for a one-dimensional problem in which a particle of mass μ is subjected to the inward central force −dV/dr and a second outward force, called in this context the (Lagrangian) centrifugal force (see centrifugal force#Other uses of ...