The windlass A can be considered as a $28$ lb cylinder, while the spokes are slender rods, each having a weight of $2$ ft $.($Figure $1)$

Part A

If the $54$ lb bucket is released from rest, determine the magnitude of its velocity after it has fallen a distance of $12$ ft $.$ Neglect the pulley's weight.

Express your answer to three significant figures and include the appropriate units.

View Available Hint$($s$)$

$v_C=$ Value Units