To calculate velocity on a circular path using polar coordinates, the relationship s = r * theta is essential, where r is the radius and theta is the angle in radians. The discussion highlights confusion over the interpretation of r as 6m rather than the arc length. Energy conservation is referenced with the equation 1/2 mv^2 = mgh, although there is a correction needed regarding the factor of 1/2. Participants express uncertainty about the calculations and seek clarification on the energy conservation approach. Overall, the conversation revolves around understanding the correct application of formulas in polar coordinates for circular motion.
