Question

A disc of radius R rolls on a horizontal ground with linear acceleration ′a′ and angular acceleration ′α′ as shown. The magnitude of the acceleration ′α′ of point P at an instant , when its linear velocity is V and angular velocity is w will be,

Answer 1

magnitude of angular acceleration = (v^2)/r

linear velocity v =r*w

so angular acceleration a = ((r^2) * (w^2)) /r

this gives angular acceleration a =r*(w^2).