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.
Well angular momentum is moment of inertia times angular velocity, so one possible way to come up with the units is. kg-m^2 x rad/s. But it is also equal to impulse of torque. So the units can also be written as. N-m-s. BTW, this is exactly the same as the previous unit.