Final answer:
We partake in Earth's rotation and revolution without sensing it due to the constancy of Earth's movements and the principle of inertia, which prevents us from feeling this motion when it is uniform and unaccelerated.
Step-by-step explanation:
The planet Earth exhibits multiple motions, and two kinds that we are moving with include its rotation on its axis and its revolution around the sun. Earth's rotation is responsible for day and night cycles as the planet spins, whereas its revolution is the orbiting of Earth around the sun which leads to the changing seasons.
We do not feel these movements due to the consistent speeds and the lack of acceleration changes in Earth's motion. The principle of inertia, proposed by Newton, states that a body in motion will continue in motion with a constant velocity unless acted upon by a net external force. Since our atmosphere and everything around us is moving with the same velocity as the Earth's rotation and revolution, we do not feel this movement, similar to not feeling the steady motion when traveling in a vehicle at a constant speed and direction.
Another factor is that the Earth's movements are relatively smooth and do not involve sharp turns or sudden changes that would cause us to experience inertia different from that of the Earth. Consequently, although we are participants in a vast celestial motion, the uniformity of Earth's movement coupled with our own inertia means that we particularly don't sense it.