“The force that acts on an object moving in a circular path and directed towards the center, around which the object is moving.”
The magnitude of the centripetal force on an object of mass m, moving at tangential speed ‘v’ along a path with a radius of curvature, is given by,
Centripetal Force = Mass x Centripetal acceleration.
Centripetal acceleration = (V^2)/r.
R = radius.
In terms of the angular velocity ‘ω’ by which an object moves in the circular direction.
v = ωr
By putting the value of v,
Centripetal Force = Mass x (ω^2) x r
Reference Source:
[1] Definition from Oxford Language.
[2] Wikipedia Contributors. Centripetal force. Wikipedia. Published January 10, 2022. Accessed January 31, 2022. https://en.wikipedia.org/wiki/Centripetal_force.
[3] Khan Academy. Introduction to centripetal force | AP Physics 1 | Khan Academy. YouTube. Published online November 19, 2017. Accessed February 1, 2022. https://www.youtube.com/watch?v=e1l1NMLuUuY.
[4] Planet Nutshell. Centripetal Force. YouTube. Published online May 5, 2014. Accessed February 1, 2022. https://www.youtube.com/watch?v=KvCezk9DJfk.