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Newton's laws of motion govern the motion of an object in a ( non-accelerating ) inertial frame of reference.
When Newton's laws are transformed to a uniformly rotating frame of reference, the Coriolis and centrifugal forces appear.
The Coriolis force is proportional to the rotation rate and the centrifugal force is proportional to its square.
The Coriolis force acts in a direction perpendicular to the rotation axis and to the velocity of the body in the rotating frame and is proportional to the object's speed in the rotating frame.
The centrifugal force acts outwards in the radial direction and is proportional to the distance of the body from the axis of the rotating frame.
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