**Note**
- Enter the values of the two known variables in the text boxes

- Leave the text box empty for the variable you want to solve for

- Click on the calculate button.

**Formula used**
$F_c=\frac {mv^2}{r}$

Where $F_c$ -> Centripetal Force

$m$ -> Mass
$v$ -> Linear velocity

$r$ -> Radius

### Centripetal Force Calculator

**What is Centripetal Force**
Centripetal force is the force required to keep it in Circular Motion. This force is directed towards the centre.

Centripetal force Formula is

$F_c = \frac {mv^2}{R}$

Where

$F_c$ is the centripetal force

$m$ is the mass of the body

$v$ is the velocity of the object

$R$ is the radius of the circle

SI unit of Centripetal Force is same as Force i.e Newton. It is a vector quantity

**Example of Few questions where you can use this Centripetal Force Calculator**

**Question 1**

Calculate the Centripetal Force acting on the object moving in a circle of mass 10 kg , radius 10m with velocity 10m/s

**Solution**

Given, r=10 m.,v=10 m/s, m=10 kg,$F_c$=?
Centripetal Force is given by

$F_c = \frac {mv^2}{R}$

$a_c = \frac {10 \times 10^2}{10} = 100 / N$

**Question 2**

An 0bject of mass 1 kg is moving on a circular path with velocity 5m/s .The centripetal force is 25 N. Find the radius of the circular path?

**Solution**

Given, r=?,v=5 m/s, $F_c=25 \ N$, m=1 lkg
Centripetal Force is given by

$F_c = \frac {mv^2}{R}$

Rearranging for radius
$R= \frac {mv^2}{F_c}$

$R= \frac {1 \times 5^2}{25} = 1 \ m $

**Question 3**

An body is moving on a circular path of Radius 50 m with velocity 10 m/s.The centripetal force is 50 N. Find the mass of the body

**Solution**

Given, r=50 m,v=10 m/s, $F_c=50 N$, m=?
Centripetal Force is given by

$F_c = \frac {mv^2}{R}$

Rearranging for Mass
$m= \frac {F_c R}{v^2}= \frac {50 \times 50 }{100} = 25 \ kg$

## How Centripetal Force Calculator works

- If mass,velocity and radius is given, Centripetal Force is calculated as

$F_c = \frac {mv^2}{R}$

- If mass, velocity and Centripetal force is given, Radius is calculated as

$R= \frac {mv^2}{F_c}$

- If mass, Radius and Centripetal force is given, velocity is calculated as

$v= \sqrt {\frac {F_c R}{m}}$

- If Velocity, Radius and Centripetal force is given, mass is calculated as

$m= \frac {F_c R}{v^2}$

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