# Centripetal Force Calculator

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