a). Milk is churned to seperate cream from it. ===> Centrifugation
Cream separates from milk simply because it is lighter and it rises to the top of the vat or bucket. Once you have separated the cream you churn it to make butter. Basically, this is what happens when you make whipped cream. if you take it too far, it separates into butter and whey.
The particle whose density is less than that of liquid are driven towards the axis of rotation and those whose density is greater than that of liquid are driven away from the axis . Cream is lighter than milk and so it is separated from the milk and collects at the axis .
This is the reason and principle behind it