Answer to Question #108457 in Physics for mel

Question

A bucket of water with total mass 25 kg is attached to a rope, which in turn is wound around a 0.04-m radius cylinder at the top of a well. The bucket is raised to the top of the well and released. The bucket is moving with a speed of 5.0 m/s upon hitting the water surface in the well. What is the angular speed of the cylinder at this instant?

Answer 1

$v=\omega\times r$

$\omega=\frac{v}{r}=125\frac{rad}{sec}$