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# Difference Between Centripetal Vs Centrifugal Force [Explained]

In this article, you’ll learn what is centripetal vs centrifugal force? and how they work in real life. Its definition, working, example, and the difference between centripetal vs centrifugal force are explained with pictures.

## What is Centripetal Force?

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Centripetal force is defined as the force that causes an object to follow a curved path and is directed towards the center around which the body is moving. Or in simple words, centripetal force is a force that acts to keep an object moving along a circular path.

### Working of Centripetal Force

Imagine a rope swinging around a circle, with a can attached to its end. The can is in a constant state of acceleration since its velocity is constantly changing due to its circular path. Acceleration of the can is caused by a net force acting on the object.

This always pulls an object towards the center of a circle, without this force an object will continue moving in a straight line motion. The centripetal force is tension on the rope.

The centripetal force is equivalent to the mass velocity squared divided by the radius. As these variables change so will the centripetal force an increase in mass or velocity or a decrease in radius will result in an increase in the centripetal force.

A decrease in mass or velocity or an increase in radius will result in a decrease in the centripetal force. If the rope is cut the can will no longer maintain a circular path and it will fly in a straight line tangent due to Newton’s first law of inertia.

### Examples of Centripetal Force

1. The force of gravity pulls the moon towards the center of the earth, this pole is the centripetal force keeping the moon in orbit around the earth. If earths gravity ceased to exist the moon would fly off into the space in a straight line.
2. Another example of centripetal force is the force that bind mud to a tire as it rotates. As the rotation speed of the tire increases, the centripetal force will not be great enough to hold the mud onto the tire and the mud will fly off the tire in straight line tangets.

### Centripetal Force Formula

The centripetal force is usually calculated by the formula given below.

Where,

• Fc = Centriptal force
• m = Mass of the object
• v = Velocity

## What is Centrifugal Force?

It is an external imaginary force experienced by an object that moves in a circular path away from the center of rotation. The theory of centrifugal force is used to define the physics of rotating devices such as a centrifuge, centrifugal pump, centrifugal governors, and more devices.

### Working of Centrifugal Force

As we discussed with the can that was attached to the string. The centripetal force is the force that creates the tension on the string. There are two perspectives in this example, outside of the can and inside the can.

As Newton’s third law states for every action there is an equal and opposite reaction from outside of the can there should be an outward reaction force to the centripetal force. This center fleeing force is known as the centrifugal force.

The reactive centrifugal force is the reaction force to a centripetal force. The can undergoing curved motion constantly accelerates towards the axis of rotation. This centripetal acceleration is provided by a centripetal force which is exerted on the can by some other object.

This is the reactive centrifugal force and is directed away from the center of rotation and exerted by the rotating can on the object that generates the centripetal acceleration. If the object is placed inside the can, it appears that the object has an outward force that pushes it towards the bottom of the can and away from the center of rotation.

### Apparent Centrifugal Force

The apparent centrifugal force is most commonly introduced as an outward force apparent in a rotating frame of reference. It is apparent or imaginary in the sense that it is not part of interaction but actually the inertia of the object. The object naturally wants to travel in a straight line but the centripetal force does not allow it.

This type of force is associated with describing motion in a non-inertial reference frame and is referred to as a fictitious or inertial force. The reactionary and apparent centrifugal force is not a real force. Hence, it is a result of the rotation, not a force.

The apparent centrifugal force is really the inertia of the object. A more accurate definition for centrifugal force would be the lack of centrifugal force.

### Example of Centrifugal Force

1. The Weight of an object at the poles and on the equator.
2. Vehicle slide off while making a turn or slips while driving around the curve.

### Centrifugal Force Formula

The centrifugal force is usually calculated by the formula given below. Consider the velocity of the object is known, and it is calculated by,

Where

• V = velocity of the moving can
• r = it is the distance of the moving can from the center
• m = mass of the moving can

If the angular velocity is known, and it is calculated by,

Where

• ω = angular velocity
• r = distance of the moving can from the center
• m = mass of the moving can

## Difference Between Centripetal Force and Centrifugal Force

Following are the main difference between centripetal vs centrifugal force:

## Wrapping It Up

As I discussed above, centripetal force is the force required to make an object move in a circle. Whereas centrifugal force is an inertial force that appears to act on all objects when viewed in a rotating frame of reference.

You might like to read more in our blog: Saif M. is a Mechanical Engineer by profession. He completed his engineering studies in 2014 and is currently working in a large firm as Mechanical Engineer. He is also an author and editor at www.theengineerspost.com

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