Final answer:
The rate of change of centripetal force is dependent on changes in the mass of the object, its velocity, or the radius of its circular path. This rate can increase with higher velocity or decrease with a larger radius of curvature.
Step-by-step explanation:
The rate of change of centripetal force can refer to how this force varies with the factors that determine its strength - mass of the object (m), velocity (v), and the radius of curvature (r). The formula for centripetal force is Fc = mv2/r when expressed in terms of velocity, and Fc = mrω2 when expressed in terms of angular velocity ω. Therefore, the rate of change of centripetal force could be due to changes in any or all of these three quantities. For instance, if the velocity of an object increases, the centripetal force needed to maintain its circular path would also increase. Conversely, if the radius of curvature increases, while keeping the mass and velocity constant, the centripetal force required would decrease. Ultimately, the exact rate of change depends on the dynamics of the specific situation.