Question

Establish a relation between linear acceleration and angular acceleration​

Answer 1

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Relation between angular and linear acceleration:

Angular acceleration of an object or particle, moving along a circular path is given by

α = dω/dt

since, ω = v/r

so, α = d/dt(v/r)

α = 1/r × dv/dt

α = a/r [∵ dv/dt = a]

a= rα