$($c$)$ The figure below shows a tilting device that maintains a sloshing water bath for washing vegetable produce. The crank OA oscillates about the vertical axis.

$($i$)$ The crank OA has a clockwise angular velocity of $4ra\frac{d}{s}$ when it is exactly vertical. Determine the angular velocity of the basket in the position shown where $=30$ degrees.

$(6$ marks$)$

$($ii$)$ If the angle $$ is increased to $45$ degrees, describe how the angular velocity of the basket in this position is affected.

$(4$ marks$)$