So you agree that a beach ball at rest on the beach has an acceleration of 0 m/s^2 towards the center of the earth??
Not neccessarily.
The earth rotates once every 24 hours.
An object 'at rest' on the earth's surface rotates with the earth, completing a rotation once every 24 hours.
The earth has an equatorial circumference of 40,075 km. An object at rest on the earths equator must cover this distance every 24 hours as the earth rotates about its axis. This means any object at rest on the earths equator is travelling at approximately 1670 km/hr.
At equinox, at dawn, the direction of that motion is toward the sun, at mid-day the direction of the motion is to the east, at dusk the direction of the motion is away from the sun, and at midnight the direction of the motion is towards the west.
In order to go from travelling at 1670 km/hr sunwards to 1670 km/hr eastwards, following the equator of the earth, we must change our velocity by 2362 km/hr (656 m/s) in the direction of the center of the earth. This results in a net instaneous acceleration of 0.03 m/s/s towards the center of the earth. The acceleration is the same for the other three changes, and is always towards the center of the earth.
Whilst the instaneous acceleration is always 0.03 m/s/s towards the center of the earth, the average acceleration over a full rotation of the earth of an object at rest on its surface is 0m/s/s because over the course of a full rotation the sum of the vectors is zero.
This, incidentaly is why we use terms like Peak Music Power Output (PMPO) and RMS Power when describing things such as power supplies or music systems - because the average power of such systems is zero, as is the average of any sinusoidal function that isn't translated vertically.