Differences between Centrifugal Force and Centripetal Force

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Centrifugal Force vs. Centripetal Force[edit]

In the context of circular motion, centripetal and centrifugal forces are often discussed. Centripetal force is a real force that causes an object to follow a curved path, whereas centrifugal force is an apparent outward force experienced by an object moving in a rotating frame of reference.[1][2] A key distinction lies in the frame of reference: centripetal force is observed from an inertial (non-accelerating) frame, while centrifugal force is apparent in a non-inertial (accelerating or rotating) frame.[3][4]

Centripetal force always acts inward, toward the center of the circular path.[5] This force is what constrains an object to move in a circle; without it, the object would continue in a straight line due to inertia. Different physical interactions can provide the centripetal force. For planets orbiting the sun, gravity is the centripetal force.[1] For a car turning a corner, the friction between the tires and the road provides the centripetal force.[3]

In contrast, centrifugal force is considered a fictitious or pseudo-force because it does not arise from any physical interaction with another object. It is an effect of inertia. An observer in a rotating frame of reference, such as a person on a merry-go-round, feels a push outward. This perceived outward force is the centrifugal force.[1] From an inertial frame of reference, there is no outward force acting on the person; the inward-acting centripetal force provided by the structure of the ride is the only real force causing the circular motion.[1]

Comparison Table[edit]

Category Centripetal Force Centrifugal Force
Definition The force that compels an object to follow a curved path, directed towards the center of curvature.[3] An apparent outward force on a rotating object, viewed from within the rotating frame of reference.
Nature of Force A real force resulting from physical interactions (e.g., gravity, tension, friction). A fictitious or inertial force that arises from the acceleration of the reference frame, not from an interaction.
Direction Inward, toward the center of the circular path. Outward, away from the center of rotation.[3]
Frame of Reference Observed in an inertial (non-accelerating) frame of reference.[3] Experienced in a non-inertial (rotating or accelerating) frame of reference.
Origin Caused by fundamental forces such as gravity, tension, or friction. An effect of an object's inertia in a rotating frame.
Effect Causes a change in the direction of the object's velocity, resulting in circular motion. Pushes an object away from the center in a rotating frame; it is the reaction to the centripetal force.
Venn diagram for Differences between Centrifugal Force and Centripetal Force
Venn diagram comparing Differences between Centrifugal Force and Centripetal Force


Inertial and Non-Inertial Frames of Reference[edit]

The distinction between these two forces is dependent on the observer's frame of reference. An inertial frame is one that is not accelerating.[4] In such a frame, Newton's laws of motion hold true without the need for fictitious forces. When observing an object moving in a circle from an inertial frame, the only horizontal force acting on it is the inward centripetal force.[1]

A non-inertial frame is one that is accelerating.[4] A rotating frame of reference is a common example of a non-inertial frame. To apply Newton's laws within a non-inertial frame, fictitious forces like the centrifugal force must be introduced to account for the frame's acceleration. For an observer in a rotating car, the sensation of being pushed outward is explained by the centrifugal force, which balances the inward centripetal force, making the observer feel stationary relative to the car.


References[edit]

  1. 1.0 1.1 1.2 1.3 1.4 "livescience.com". Retrieved October 17, 2025.
  2. "patsnap.com". Retrieved October 17, 2025.
  3. 3.0 3.1 3.2 3.3 3.4 "byjus.com". Retrieved October 17, 2025.
  4. 4.0 4.1 4.2 "geeksforgeeks.org". Retrieved October 17, 2025.
  5. "merriam-webster.com". Retrieved October 17, 2025.