Also found in: Dictionary, Thesaurus, Medical, Wikipedia.
The inward force required to keep a particle or an object moving in a circular path. It can be shown that a particle moving in a circular path has an acceleration toward the center of the circle along a radius. See Acceleration
This radial acceleration, called the centripetal acceleration, is such that, if a particle has a linear or tangential velocity v when moving in a circular path of radius R, the centripetal acceleration is v2/R. If the particle undergoing the centripetal acceleration has a mass M, then by Newton's second law of motion the centripetal force FC is in the direction of the acceleration. This is expressed by the equation below,
centripetal forceA force, such as gravitation, that causes a body to deviate from motion in a straight line to motion along a curved path, the force being directed toward the center of curvature of the body's motion. The force reacting against this constraint, i.e. the force equal in magnitude but opposite in direction, is the centrifugal force. The centrifugal force results from the inertia of all solid bodies, i.e. their resistance to acceleration, and unlike gravitational or electrical forces, cannot be considered a real force. The centripetal force is equal to the product of the mass of the body and its centripetal acceleration. The latter is the acceleration toward the center, and for a body moving in a circle at a constant angular velocity ω it is given by ω2r , where r is the radius.
the force that acts on a mass point in the direction of the principal normal to the point’s trajectory and is directed toward the center of curvature. If the point moves in a circle, the centripetal force is directed toward the center of the circle. Numerically, the centripetal force that acts on a point of mass m moving with a velocity v is equal to mv2/ρ, where ρ is the radius of curvature of the point’s trajectory. Under the action of a centripetal force, the motion of a free mass point is curvilinear. During rectilinear motion, the centripetal force is equal to zero.