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According to Newton’s Second Law:
F=ma
where “f” is force (Newtons), “m” is mass (kg), and “a” is the acceleration of the object (meters/second^2). Every force you feel has its roots in this fundamental equation.
Therefore, when one stands on Earth, we don’t feel any outside force of the movement of earth, because there is no acceleration (velocity of the rotation of Earth is constant). Therefore, F=0. However, in the case of an accelerating car, F>0.
To answer the question of getting dizzy on a roller coaster/merry-go-round: that has to do more with changing perspective; on Earth, everything moves together in unison. But on a roller coaster, the perspective is not moving at the same speed as you are – therefore, there can be dizziness.