Question

relation connecting linear acceleration and angular velocity

Answer 1

we know that
linear accelaration
a = v/t. ........(1)
where v is linear velocity

also
angular velocity is
v*r
where r is the radius of the circle in which the particle is moving
angular velocity = v'

v' = v*r
v = v'/r
putting this value in eqn (1) we have

a = (v'/r)/t
so
a = v'/rt

is the answer