Answer
The centripetal forces vary between the clothes and water, allowing them to be separated.
Work Step by Step
The clothes and water experience centripetal force. This force is equal to $$F_c=\frac{mv^2}{R}$$ However, the mass of the clothes is huge compared to the mass of a small water drop. Therefore, the water would get moved away from the clothes and out of the circle faster than the clothes get moved away from the circle.
