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.
That is exactly like S = UT + 1/2 AT^2; where U is the initial speed. But instead of meters or feet, linear distance, we use angular distance radians. And we have O = wT + 1/2 aT^2; where w is the initial angular speed (rad/s), T is time (as always), and a = rad/s^2 the angular acceleration.