The centripetal acceleration over the equator is
And it fades to zero at the poles.
1-Acceleration over the Equator.
Considering the sidereal rotation period (earth's daily rotation relative to a distant star) equal to
and the Earth's equatorial radius
the tangential velocity of a point located at earth's equator is
Using this value in
The result is similar if we use T = 24h (the Synodic rotation period, or the rotation period relative to the Sun).
2-Acceleration at any given latitude.
As a general expression, for any given latitude, we write:
is the radius of the circle performed by a point at the given latitude around the Earth's rotation axis.
At the poles (