What is Centrifugal force calculation formula?

Centrifugal force is a fictitious force, a manifestation of inertia, which moves a rotating object away from its center of rotation. In Newtonian mechanics, centrifugal force has been used to describe two different concepts: an inertial force observed in a non-inertial reference frame, and the balance of centripetal force. In Lagrangian mechanics, centrifugal force is sometimes used to describe generalized forces in a generalized coordinate system.

In the usual context, centrifugal force is not a real force. It only works so that Newton's laws of motion can still be used in a rotating reference frame (non-inertial reference frame). There is no centrifugal force in an inertial reference frame, and inertial force is required in a non-inertial reference frame (such as a rotating reference frame), otherwise Newton's laws of motion cannot be used.

Imagine a disk rotating around the center with an angular velocity of ω. There is a wooden block with a mass of m on the disk, which is connected by a rope, and the other end of the rope is fixed to the center of the disk (also the center of rotation), and the rope length is r. The wooden block rotates with the disk. Assuming there is no friction, the rotation of the wooden block is due to the tension of the rope. To the observer who rotates with the disk, the block is stationary. According to Newton's law, the resultant force on the block should be zero. However, the block is only subject to one force, which is the tension of the rope, so the resultant force is not zero. Does this violate Newton's law? Newton's law is valid only in an inertial system, but the reference system of the observer who rotates with the disk is a non-inertial system, so Newton's law does not hold here. In order to make Newton's law still valid in a non-inertial system, it is necessary to quote an inertial force, namely the centrifugal force. The magnitude of the centrifugal force is , which is equal to the tension provided by the rope, but opposite in direction. After the centrifugal force is introduced, to the observer who rotates with the disk, the block is simultaneously subject to the tension of the rope and the centrifugal force, which are equal in magnitude and opposite in direction, and the resultant force is zero. At this time, the block is stationary, and Newton's law holds.

Centrifugal force calculation formula

F=a*m

F——centrifugal force;

a——centripetal acceleration {a=ω^2*r=(v^2)/r=[4*(π^2)*r/T^2};

m——object mass.

(F=a*m itself is an application of the formula of Newton's second law)

(In the above formula, ω refers to the angular velocity of the object's circular motion, r refers to the radius of the object's circular motion, T refers to the period of the object's circular motion, and π refers to pi)