The family physician often provides the first and only medical intervention for fingertip injuries. Proper diagnosis and management of fingertip injuries are vital to maintaining proper function of the hand and preventing permanent disability. A subungual hematoma is a painful condition that involves bleeding beneath the nail, usually after trauma.
I think it's probably easier to flip the question, and find why angular velocity is equal to the linear velocity divided by the radius: [math]\omega = \frac{v}{r}[/math] From there, it's a simple algebraic manipulation.
and the angular acceleration is. where the acceleration here is the tangential acceleration. Angular velocity can be considered to be a vector quantity, with direction along the axis of rotation in the right-hand rule sense. For an object rotating about an axis, every point on the object has the same angular velocity.