Final answer:
The frequency of rotation and precession are inversely proportional, meaning as the rotation speed increases, the precession frequency decreases, due to the conservation of angular momentum and the gyroscopic effect.
Step-by-step explanation:
The relationship between the frequency of rotation and the frequency of precession is that they are inversely proportional to each other. This means that as the frequency of rotation increases, the frequency of precession decreases. The key behind this phenomenon lies in the conservation of angular momentum and the gyroscopic effect. For a spinning object, if no external torques are applied, its spin angular momentum stays constant. However, when an external torque (such as gravity) acts on the object, it results in precession, which is a change in the orientation of the rotational axis. The rate of this precession is affected by the spinning object's rotational speed; faster spin leads to slower precession, and vice versa. Therefore, the correct option for the student's question is c) The frequency of precession is inversely proportional to the frequency of rotation.