In the inertial frame of reference (upper part of the picture), the black ball moves in a straight line. However, the observer (brown dot) who is standing in the rotating/non-inertial frame of reference (lower part of the picture) sees the object as following a curved path due to the Coriolis and centrifugal forces present in this frame.
Sphere rotating around one of its diameters
The interface of two immiscible liquids rotating around a vertical axis is an upward-opening circular paraboloid.
An example of rotation. Each part of the worm drive—both the worm and the worm gear—is rotating on its own axis.
When analysed in a rotating reference frame of the planet, centrifugal force causes rotating planets to assume the shape of an oblate spheroid.

It is directed away from an axis which is parallel to the axis of rotation and passing through the coordinate system's origin.

- Centrifugal force

This is expressed as the object changing shape due to the "centrifugal force".

- Rotation around a fixed axis
In the inertial frame of reference (upper part of the picture), the black ball moves in a straight line. However, the observer (brown dot) who is standing in the rotating/non-inertial frame of reference (lower part of the picture) sees the object as following a curved path due to the Coriolis and centrifugal forces present in this frame.

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