converting linear velocity to angular velocity
now here is a situation:
a dead weight weighing 10 kg has been hoisted up to a certain height, by a rope and pulley mechanism. it is then made to remain hanging there, by tying the other end of the rope to some support.
now if all of a sudden, if the other end of the rope was released, causing the weight to fall freely, and dragging the rope with it, through the pulley, then what would be the rpm of the rotating pulley ?
by using the formulas of potential and kinetic energies, the velocity of the falling weight can be determined. now how do i use this to find the rotational speed of the pulley