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.
Angular momentum may be formulated equivalently as the product of I, the moment of inertia, and Ï, the angular velocity, of a rotating body or system, or simply IÏ. The direction of the angular-momentum vector is that of the axis of rotation of the given object and is designated as positive in the direction that a right-hand screw would advance if turned similarly. Appropriate MKS or SI units for angular momentum are kilogram metres squared per second (kg-m2/sec).