3) Define U.C.M, and obtain the relation between linear velocity and angular velocity in uniform circular mo

3) Define U.C.M, and obtain the relation between linear velocity and angular velocity in uniform circular motion?

3) Define U.C.M, and obtain the relation between linear velocity and angular velocity in uniform circular mo
Uniform Circular Motion is motion is motion along a circular path where SPEED is constant throughout (velocity is never constant as direction continuously changes in direction of the tangent of the path).





Q (theta) = L/r


L = r Q ....................where L is length of arc, r is radius of path, Q is angle subtended by arc.





Now differentiate with respect to time, we get :


v = r. w ...............where v is linear velocity, w is angular velocity