Question

Mathematical relationship between angular acceleration and linear acceleration

Answer 1

Angular acceleration is how your angular velocity changes, the same for the linear acceleration, but for linear velocity. In general, for you can say that: a=br

where a is linear acceleration, b the angular and r rhe curvature radius of the curve.

Don’t think that angular and centripetal accelerations are the same, centripetal is V^(2)/R, you can put it in terms of the angular velocity, once W=V/R (same relation used for the accelerations

Answer 2

In the context of circular motion, linear acceleration is also called tangentialacceleration at. Linear or tangentialacceleration refers to changes in the magnitude of velocity but not its direction. ... Centripetal acceleration acoccurs as the direction of velocity changes; it is perpendicular to the circular motion