Circular Motion proof

The video tutorial explains how to derive formulas for circular motion, focusing on position, velocity, and acceleration vectors. It begins with defining a particle's position in circular motion using vectors and unit vectors. The tutorial then derives the velocity vector through differentiation, introducing angular velocity. It continues with the derivation of the acceleration vector, applying the chain rule and introducing angular acceleration. The tutorial defines tangential and normal unit vectors to simplify expressions for velocity and acceleration, providing a clearer understanding of their components in circular motion.

Explain the concept of angular velocity and its relation to circular motion.

What does the term 'tangential direction' refer to in the context of circular motion?

How is the acceleration vector expressed in terms of angular velocity and angular acceleration?

What is the formula for the magnitude of the velocity vector in circular motion?