Synchros control an amplifying device called a ____________ to move a large load.

The correct answer is servomechanism. Synchros are devices used in control systems that provide feedback on position or angle. They operate based on the principle of converting angular position into an electrical signal, which can then be used to control other systems.

A servomechanism is a control system that uses feedback to accurately control the motion of a mechanism, such as positioning a large load. In this context, the synchro feeds information to the servomechanism, enabling precise movements and adjustments of heavy loads efficiently. This integration allows for enhanced performance and accuracy in systems requiring large-scale manipulation or movement.

The other options, while related to electrical engineering or control systems, do not serve the same purpose. An inertia damper is typically used to reduce oscillations or vibrations, a transformer primarily steps up or steps down voltage levels, and an inductor is a passive electrical component that stores energy in a magnetic field. None of these alternatives directly relate to controlling movement through feedback mechanisms in the same way a servomechanism does.