F calculation - mv2/r, but here mv2r, why?
From Newton’s second Law, it can be shown that
F = ma, where F is the net force acting on a body, m is the mass of the body and a is the acceleration. So to find the centripetal force we must first find the centripetal acceleration for a body undergoing circular motion.
The following is from a previous answer of mine where I derived the centripetal acceleration:
A particle in circular motion follows the graph of x2+y2=r2, where r is the radius of the circular motion. This can be expressed in parametric equations with the time variable, allowing us to see where the particle would be at a specific point in time.
Where T is the time period of the motion.
Where f is the frequency and
Therefore the parametric equations can be re-written as
Now we need to find the acceleration for the x and y components of position. We find these by double differentiating each position variable with respect to time.
Now we just need to find the resultant acceleration.
Let’s now write this in a different form.