Uncountable: When referring to wool as a general material or substance, it's uncountable.
* Example: "The sweater is made of wool."
Countable: When referring to individual pieces or quantities of wool, it becomes countable.
* Example: "There are five wools in the basket." (This could be referring to different types of wool, like merino wool, cashmere wool, etc.)
In general: You'll most often see "wool" used as an uncountable noun.