Final answer:
The vestibular system is responsible for transducing head motion and sound waves into neural signals.
Step-by-step explanation:
The sensory system that is responsible for transducing both head motion and sound waves into neural signals is the vestibular system. This system is located in the inner ear and consists of the utricle, saccule, and semicircular canals, which work together to provide the sense of balance and spatial orientation.
In the vestibular system, there are hair cells with stereocilia that respond to movement of the head and gravitational forces. When these hair cells are stimulated, they send signals to the brain via the vestibular nerve.