# Question #fe905

##### 1 Answer

#### Answer:

The centripetal acceleration over the equator is

And it fades to zero at the poles.

#### Explanation:

**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:

Where

is the radius of the circle performed by a point at the given latitude around the Earth's rotation axis.

At the poles (