do we accelerate as the earth rotates once every 24 hours?

Yes, you accelerate towards the center of the Earth (due to the daily rotation), and also towards the sun.

I should point out that acceleration can be a change in direction (as it is here) as well as a change in speed.

To determine whether we accelerate as the Earth rotates once every 24 hours, we need to understand the concept of acceleration and the motion of objects on Earth's surface.

Acceleration is defined as the rate of change of velocity over time. Velocity is a vector quantity that includes both speed and direction. Any change in speed or direction constitutes acceleration.

While it is true that the Earth rotates once every 24 hours, our speed and direction relative to the Earth's rotation remain constant when we are at rest on its surface. This means that we are not undergoing any change in velocity and, therefore, not experiencing acceleration.

However, it is important to note that although we don't accelerate due to Earth's rotation directly, we do experience a centripetal acceleration caused by the rotation of the Earth around its axis. This acceleration is felt towards the center of the Earth and helps maintain our circular motion with the Earth's surface.

In conclusion, while we experience a centripetal acceleration due to the Earth's rotation, we do not undergo acceleration in the sense of changes in speed or direction when we are at rest on its surface.