How does an increase in distance from a pivot point affect rotational motion?

An increase in distance from a pivot point significantly affects rotational motion by increasing the rotational inertia, also known as the moment of inertia. Rotational inertia is a measure of how much an object resists changes to its rotational motion when a torque is applied. The greater the distance from the pivot point to where the mass is located, the more difficult it is to change that object's rotational speed.

This concept is essential in understanding how mass distribution affects rotational dynamics. For example, consider a rotating figure skater who draws their arms in closer to their body; they spin faster because their rotational inertia decreases. Conversely, if they extend their arms, the distance from the pivot point increases, which raises their rotational inertia and consequently slows their spin. Hence, increasing the distance from the pivot point directly correlates with an increase in the rotational inertia and a subsequent impact on how easily an object can accelerate or decelerate in its rotation.