Question

In circular motion the centripetal acceleration also changes at every instant (direction wise). What is the magnitude and direction of the jerk acting upon it ? j=da/dt

Answer 1

As \(\vec a=-\,\omega ^2\;\vec r\) , we have \(\vec j=-\,\omega ^2\;\vec v=-\,\omega ^3\;r\;\hat t\)
where \(\hat t\) is the unit vector tangent to the motion.

Answer 2

Ok thanks!