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to wake; to wake up
to become sober; to sober up; to regain consciousness (e.g. after anaesthesia)
to come to one's senses; to be disillusioned
夜中に目が覚めてしまいました。
I woke up in the middle of the night.
熱が覚めるまで休んでいてください。
Please rest until the fever goes down.
しばらくして興奮が覚めて冷静になった。
My excitement subsided and I calmed down.