In non-uniform circular motion, unlike uniform circular motion, the speed or direction of an object moving in a circular path changes. This means that the object's velocity is not constant. A key concept in understanding non-uniform circular motion is tangential velocity.

Tangential velocity is the component of an object's velocity that is tangent to the circular path at any given point. It represents the object's speed and direction of motion along the circular path. As the object moves along the path, its tangential velocity vector changes in magnitude and/or direction.

To calculate tangential velocity, we can use the formula: v = r * ω, where 'v' is the tangential velocity, 'r' is the radius of the circular path, and 'ω' is the angular velocity. Angular velocity is defined as the rate at which an object rotates around the center of the circle.

Another important concept in non-uniform circular motion is tangential acceleration. Tangential acceleration refers to the rate at which an object's tangential velocity changes. It can be calculated using the formula: aₜ = r * α, where 'aₜ' is the tangential acceleration and 'α' is the angular acceleration.

To better understand non-uniform circular motion, let's consider an example. Imagine a car driving along a curved road. As the car enters a curve, its speed decreases due to the change in direction. The car experiences a decrease in tangential velocity, resulting in a non-uniform circular motion. As the car exits the curve, its speed increases, leading to an increase in tangential velocity. This change in velocity represents non-uniform circular motion.