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Circular motion and rotation are related concepts but have distinct meanings.

Circular Motion: Circular motion refers to the movement of an object along a circular path. In this type of motion, the object continuously travels in a circular trajectory, maintaining a constant distance from a center point. It involves the object moving in a curved path, often in response to a centripetal force that keeps it on the circular track. The speed of the object in circular motion can be constant or variable, but its direction is constantly changing.

Rotation: Rotation refers to the spinning or turning of an object around an axis or a fixed point. It involves the object rotating about a particular point, line, or axis, without necessarily following a circular path. The axis of rotation can be internal or external to the object. In rotation, different parts of the object move through different distances and at different speeds, depending on their distance from the axis of rotation.

Difference between Circular Motion and Rotation: The key difference between circular motion and rotation lies in the nature of the path or trajectory followed by the object. In circular motion, the object moves along a circular path, whereas in rotation, the object spins or turns around an axis. Circular motion involves translation along a curved path, while rotation involves internal or external spinning without a strict requirement of a circular path.

Relationship between Circular Motion and Rotation: Every rotation involves circular motion, as the objects rotating around an axis are continuously moving in a circular path. However, not every circular motion involves rotation. For example, when an object moves in a circular path without spinning about its own axis, it is purely undergoing circular motion without rotation. On the other hand, when an object spins or turns about its axis, it involves rotation but may not necessarily involve a circular path.

In summary, circular motion refers to the object's movement along a circular path, while rotation involves spinning or turning of an object around an axis. While every rotation involves circular motion, not every circular motion involves rotation.

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