What is the difference between centripetal and centrifugal force?


Centripetal force and centrifugal force are terms used in the context of circular motion, and they describe the forces acting on an object moving in a circular path. Here are five key differences between centripetal and centrifugal force:

Direction of Force:

Centripetal Force: Centripetal force is directed toward the center of the circular path. It is responsible for keeping an object in circular motion by continuously pulling it toward the center.
Centrifugal Force: Centrifugal force is often referred to as a “pseudo-force” or an “apparent force.” It is an outward force that appears to act on an object moving in a circular path, pushing it away from the center. However, centrifugal force does not arise from a physical interaction but rather represents the inertia of the object.
Origin:

Centripetal Force: Centripetal force originates from a physical interaction or a real force, such as tension in a string, gravitational attraction, or friction.
Centrifugal Force: Centrifugal force is a perceived or apparent force that arises due to the inertia of the object moving in a circular path. It is not a result of a direct physical interaction.
Role in Circular Motion:

Centripetal Force: Centripetal force is necessary for an object to maintain circular motion. It continuously pulls the object toward the center, preventing it from moving in a straight line.
Centrifugal Force: Centrifugal force is not a true force but rather a byproduct of the object’s inertia. It is often used in a descriptive sense to explain the outward “feeling” experienced by an object in circular motion.
Frame of Reference:

Centripetal Force: Centripetal force is discussed from an inertial frame of reference, considering the object moving in a circular path.
Centrifugal Force: Centrifugal force is often discussed from a non-inertial frame of reference, such as a rotating frame. It helps explain the forces felt by an observer in that rotating frame but is not a real force acting on the object.
Mathematical Representation: