Question

Find the relationship between linear velocity and angular velocity ?

Answer 1

#rate of change of angular displacement with time is called as angular velocity .
let's take angular velocity as " w "
#rate of change of linear displacement with time is called as linear velocity.
let's take linear velocity as V.
#as linear velocity is perpendicular to both angular velocity and radius vector in circle.
it is a cross product of both angular velocity and radius vector .
#hence vector V= vector W ✖ vector r
#linear speed = angular speed *radius of circular path
[ hence v = r* w ]