For example, if a ball is attached to a string and released from a vertical height and then pivots around a point to initiate circular motion, tension is equal to centripetal motion.
If, on the other hand, a ball hands from a string and it’s hit in such a way that it travels in a vertical circle. Tension is not just equal to centripetal force.
When is tension equal to centripetal force, and when is it another value?
The scenarios above are taken from previous problems I’ve seen in class. I’m not sure if I’ve explained them as clearly as needed, but I think the general idea should be understood.