In Shakespeare's "Othello," the quote reflects the idea that after experiencing tumultuous times, one can hope for a period of peace. It suggests that just as storms eventually give way to tranquility, the struggles and conflicts in life can lead to a sense of calm and resolution. This cyclical nature of turmoil and peace is a common theme in literature, emphasizing resilience in the face of adversity.

The imagery of winds stirring up chaos is significant, as it evokes feelings of inevitability and fate. The desire for the winds to "blow until they have waken'd death" expresses a longing for a profound change, even if it comes at a great cost. This duality reflects the characters' inner turmoil and the overarching themes of love, jealousy, and tragedy in the play, making the audience ponder the consequences of both conflict and resolution.