Question

Establish the relation between linear acceleration and angular acceleration

Answer 1

Answer:

Explanation:as we know,

Linear acceleration (a) is: dv/dt

And, v =r.w(omega). {relationship b/w angular and linear velocity}

Therefore, a=d(r.w)/dt

=r.dw/dt

a= r.@(Alfa) {@=dw/dt}

Answer 2

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

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