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

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