In uniform circular motion, the tangential acceleration is zero because the speed remains constant, meaning there is no change in velocity over time (dv/dt = 0). The discussion highlights confusion between tangential and radial acceleration, clarifying that the formula V^2/r applies to centripetal (radial) acceleration, not tangential. For non-uniform circular motion, tangential acceleration can exist and is determined by the angular acceleration multiplied by the radius (At = |angular acceleration| x r). The key takeaway is that in uniform circular motion, tangential acceleration does not apply. Understanding these distinctions is crucial for accurately applying the relevant formulas.
