The relationship between linear velocity and angular velocity

In linear motion, when a body moves with uniform velocity, in time t, its linear displacement will be;

S = r∅ S = vt

r∅ = vt

r.∅ / t = v

As

v = rw

where ∅ = 90° is the angle between between radius vector r and angular velocity w (omega)

In case ∅ ≠ 90°, we can write v = r w sin∅

It gives us v = w * r