Which statement about clockwise rotations is true?

In rotational physics, the convention used to define the sign of rotations is crucial for understanding problems involving angles and angular motion. When using the Cartesian coordinate system, clockwise rotations are typically defined as negative. This is a standard convention in physics, where counterclockwise rotations are considered positive.

In practice, this means that if you are visualizing a circle with its center at the origin, rotating an object in a clockwise direction (from the perspective of someone looking down at the circle) will result in a negative angle measurement. This agreement on the direction of rotation helps maintain consistency in calculations involving angular displacement, angular velocity, and other related quantities.

The other choices do not align with this conventional definition. For instance, saying that clockwise rotations can be either positive or negative is incorrect based on the standard conventions used in physics. Similarly, the assertions that clockwise rotations are always positive or undefined contradict the commonly accepted definitions. Thus, the statement that clockwise rotations are always negative accurately reflects the established convention in physics regarding rotational motion.