The unit of centripetal acceleration is the same as the unit of any acceleration, which is meters per second squared (m/s²).

Here's why:

* Acceleration is the rate of change of velocity.

* Velocity is measured in meters per second (m/s).

* Centripetal acceleration is the acceleration that keeps an object moving in a circular path.

Therefore, the unit of centripetal acceleration is the unit of velocity divided by the unit of time, which is meters per second squared (m/s²).