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Centripetal Force Calculator

Centripetal Force Calculator


I want to calculate:





Tangential Velocity (v)


Centripetal Force (F)


Angular Velocity (ω)


Centripetal acceleration(a)



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Make use of this free centripetal force calculator that is specifically designed to calculate centripetal force. Also, you can determine other parameters that are related to the tangential motion of an object around a circular path by employing this calculator.

Lets get ahead and discuss more about this specific motion type and how you could instantly determine it either manually or by using our centripetal acceleration calculator.

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What Is Centripetal Force?

In the context of physics:

“A particular force acting on an object to retain its motion around the circular path is known as the centripetal force”

Centripetal Force Equation:

You can calculate centripetal force by using the following expression:

$$ F_{c} = \frac{mv^{2}}{r} $$


m = Mass of the object revolving
v =Velocity of the object
r = Radius of curvature that is equivalent to the actual circle’s radius

This online centripetal force calculator also considers the same above expression while carrying out computations of the object’s circular motion.
By rearranging the centripetal force formula, you can determine all other related parameters in a couple of seconds. Want to know how? Let’s move on!

Radius of Circle:

$$ r = \frac{mv^{2}}{F_{c}} $$

Velocity of Object:$$ v = \sqrt{\frac{r * F_{c}}{m}} $$

Mass of Object:

$$ m = \frac{F_{c} * r}{v^{2}} $$

$$ ⍵ = \sqrt{\frac{F}{m*r}} $$

Centripetal Acceleration:

“Centripetal velocity represents the speed of the object revolving in a circular path”

You can calculate the centripetal acceleration by following the centripetal acceleration formula below:

$$ a = \frac{v^{2}}{r} $$

Derivation of Centripetal Acceleration:

Newton’s second law of motion gives us the definition of acceleration that can easily be calculated by using our another acceleration calculator. Now apart from this, you can also calculate centripetal acceleration by comparing the equations as under:

According to Newton’s law:

$$ F = ma \hspace{0.25in}…\left(1\right) $$

The centripetal force is given as:

$$ F_{c} = \frac{mv^{2}}{r} \hspace{0.25in}…\left(2\right) $$

Now we have the determination of the formula as under:

Comparing (1) and (2):

$$ \frac{mv^{2}}{r} = ma $$

m gets cut on both sides:

$$ a = \frac{v^{2}}{r} $$

Here the interesting fact to know is that whatever parameter you wish to determine, you can get instant calculations from our centripetal force calculator.

Centripetal Force Units:

As we are already familiar with, the centripetal force is the daughter term of force. So its units are the same as used to describe the normal force. These include:

  • In System International, centripetal force is described in terms of Newtons or simply N
  • According to Imperial System, this force is measured in poundals or simply pdl
  • Pound force is the English Engineering unit used to represent centripetal force
  • In CGS, the standard units of centripetal force is dyne

You can also determine the circular force conversion in any unit with the assistance of this free centripetal force calculator.

How to Find Centripetal Force?

In the following section, we will be taking you through a couple of examples that will clear your concept regarding the circular motion of the object.

Example # 01:

How to calculate centripetal force of the car if it is moving with the speed of about 5 metre per second along a circular road of radius 67 metre. Remember the mass of the car is 700 kg.


Using centripetal force equation for calculating centripetal force as below:

$$ F_{c} = \frac{mv^{2}}{r} $$

$$ F_{c} = \frac{700*5^{2}}{67} $$

For calculations of velocity, tap the velocity calculator.

$$ F_{c} = \frac{700*25}{67} $$

$$ F_{c} = \frac{17500}{67} $$

$$ F_{c} = 261.19 N $$

You can also verify the results by using our free online centripetal force calculator.

Example # 02:

A bike is running at a velocity of about 6 metre per second around a circular path whose curvature radius is 5 metre. How to find centripetal acceleration?


The equation for centripetal acceleration is given as:

$$ a = \frac{v^{2}}{r} $$

$$ a = \frac{6^{2}}{5} $$

$$ a = \frac{36}{5} $$

$$ a = 7.2 ms^{-2} $$

How Centripetal Force Calculator Works?

Let us take you through the working guide of this free centripetal acceleration calculator that helps you to analyse the circular motion of an object around a certain centre!


  • From the first list, select which parameter you want to calculate
  • After you are done with your choice, it’s time to put in the required entities in designated fields
  • Do not forget to select unit of each and every element entered
  • At last, hit the calculate button


The free centripetal calculator does the following calculations:

  • Calculates centripetal force
  • Calculate mass of the object revolving around a circular path
  • Determine the radius of curvature
  • Also calculate the tangential speed and centripetal acceleration
  • Displays step by step computations


What law is centripetal force?

It is Newton’s third law of motion that gives us the concept of centripetal force. As it states that:

“To every action, there is an equal but opposite reaction”

The centripetal force is also caused by the action of centrifugal force that is equal in magnitude but having opposite direction. If you analyse the centripetal force formula with centrifugal force, you will clearly examine which parameters show a different change in calculations for both of these forces.

Is gravity centripetal force?

Yes, gravity is also considered a form of circular movement as it acts perpendicularly on the object moton. You can determine the centripetal acceleration of the earth either by using our centripetal acceleration calculator or centripetal acceleration formula.

What affects centripetal force?

The speed of the object and radius of curvature are a couple of factors that affect the centripetal force.

What is the importance of force?

A body at rest can be forced to move by applying force. A moving body can be slowed down or stopped by it. A moving body’s speed can be accelerated by it. A moving body’s size, shape, and direction can all be altered by it.

How does friction cause centripetal force?

Static friction now enters the picture to counter the outward relative motion before dragging begins. It resists motion by moving radially inward toward the turn, which is the opposite direction as the motion. The static friction will thus act as the centripetal force if you think of the turn as a portion of a circle.

What force causes Earth’s centripetal motion?

The centripetal motion of the Earth is caused by gravitational pull. The gravitational attraction between the Sun and Earth causes the Earth to orbit the Sun. The Earth moves in an oval pattern because of the centripetal force, which is directed toward the Sun. Moreover, you can also utilise another gravitational force calculator to determine the gravitational pull among different planets.

What is the relationship between centripetal force and mass?

The centripetal force is inversely related to mass. The centripetal force doubles as the mass does. In a similar manner, ten times the mass lessens the centripetal force.

Why is centripetal force necessary for a circular motion?

Applying a centripetal force that alters the orientation of the velocity is necessary to travel in a circular motion. Otherwise, Newton’s First Law states that if there was no net force, the item would travel straight forward at a constant speed.

What are 3 examples of centripetal force?

Several instances of centripetal force include:

  • A vehicle turning on a curving road
  • A ball on a string is rotating in a circle
  • The movement of a satellite around its astronomical orbit


There is no doubt in saying that centripetal force is the only physical phenomenon that lets the objects revolve around a circular path having a centre. And our online centripetal force calculator is what actually designed for. It allows you to calculate force exerted at each moment on the object so as to keep it in regular motion.


From the source of Wikipedia: Centripetal force, Formula, Uniform circular motion, Derivation using vectors, Nonuniform circular motion, General planar motion

From the source of Khan Academy: gravitation, Mass swinging in a horizontal circle, Yo-yo in vertical circle

From the source of Lumen Learning: Centripetal Force, Banked Curves, The Coriolis Force