Tangential acceleration (a_t)

Definition

Tangential acceleration refers to how fast an object's tangential velocity changes over time. It occurs when there is a change in speed or direction of motion along a curved path.

Analogy

Imagine riding on a roller coaster and feeling yourself being pushed forward or backward as you go up and down hills. This sensation is similar to tangential acceleration because your velocity is changing due to changes in speed and direction.

Related terms

Tangential velocity: The instantaneous velocity of an object at any given point along its curved path.

Radial acceleration: The component of acceleration that points towards or away from the center of curvature, perpendicular to tangential acceleration.

Uniform circular motion: Circular motion where both speed and direction remain constant, resulting in zero tangential acceleration.