To resonate is to make, hear, or even understand a deep, full sound. Your speech about the dangers of scarves and convertibles will resonate with your audience if you tell the story of Isadora Duncan's death.
The verb resonate, which comes from the Latin resonatum, first referred only to sound, but has now developed an emotional connotation. Resonate sounds a whole lot like another verb, resound, but they have subtly different meanings. Resound means “to repeat the sound,” but resonate means “to expand, amplify.” Sound can resonate when broadcast through speakers, and so can an idea or feeling, when expressed articulately or with passion.