Question

establish a relation between linear acceleration and angular acceleration ​

Answer 1

Answer:

I assume the question is referring to a rigid body object, where linear acceleration is the acceleration of the centre of mass, while angular acceleration is taken about an axis through the centre of mass.

I would say most of the time, the two are not related. However, in special cases such as a spherical ball rolling down a slope without slipping, linear acceleration is equal to angular acceleration times the ball radius.

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