Rotatory motion is simply the motion of anything in a circle around an
axis. So a fan is in rotational motion. The London Eye is also a device
in rotational motion. Every point on the object rotates around an axis
of rotation. And the number of turns around the axis per unit time is
the same for every point on an object in rotational motion. So every
point on the London Eye and a fan, make the exact same number of
revolutions around the axis of rotation.
In linear motion , every point in the object is moving in the same
direction with the same speed, that is every point has the same velocity
( speed + direction). However in rotational motion, every point does
not have a the same speed ( the points farther from the axis have a
higher speed, and the points closer to the axis have a slower speed),
and not every point’s movement is in the same direction. If the London
Eye is moving clockwise, then the top point is moving towards the right,
and the bottom most point is moving towards the left, so clearly every
point does not have the same direction of movement.