text: Generalized forces computed as the square of time derivatives in Lagrangian mechanics are named for this other force.
full_question: Generalized forces computed as the square of time derivatives in Lagrangian mechanics are named for this other force. The m term in Clairaut's formula is the ratio of this force to gravity. Most industrial pumps pressurize fluids by means of this force. The first Lagrange point is balanced by gravity and this force. Its magnitude equals mass times angular velocity cross angular velocity cross radius. It is experienced by an observer on Earth due to distant stars in a common statement of the Mach principle. The effect of artificial gravity is really governed by this force. It arises in rotating reference frames only, perpendicular to the angular velocity. For 10 points, name this fictitious, outward-directed force oriented opposite the centripetal force.
first_sentence: Generalized forces computed as the square of time derivatives in Lagrangian mechanics are named for this other force.
raw_answer: centrifugal force [do not accept "centripetal force"] 