How do you find centripetal force when angular velocity is changing?
First, don’t call it “centripetal force”. It isn’t a real force. As in, it isn’t a type of method by which one object attempts to alter the motion of another object. Tension, contact, friction, weight, etc are real forces. Instead, call it “net force needed to cause centripetal acceleration” If angular velocity is changing, so is the centripetal acceleration. Centripetal acceleration, angular velocity, and radius of curvature all need to be the instantaneous values to use this equation. If they change with time, study how they change. Apply data only at the instant of interest. Be aware that both centripetal acceleration and tangential acceleration at any given point act (as perpendicular components) when angular velocity changes.
