Understand centripetal as related to circular motion in Physics; it is not centrifugal, which moves outward. In physics, we studied how centripetal force keeps the moon in orbit around the Earth.
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Literal Interpretation
Literally, 'centripetal' means 'seeking the center', so it refers to any motion directed towards a central point. A whirling figure skater pulls her arms in for a centripetal effect, spinning faster.
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Non-Physical Use
Metaphorically, centripetal can describe efforts or actions that focus on unifying or centralizing. The CEO's centripetal approach brought all departments together to streamline the project.