Whirl means a quick spin, and for giving something a try. Hang-gliding? Snake-charming? "Sure," you say. "I'll give it a whirl."
Both whirl and spin are words that mean "turn" but that have also come to mean trying something briefly––you might take a car for a spin or take a turn hiking in the Himalayas. All imply an attitude so free-wheeling, so easy, so devil-may-care it might make your head spin. Or whirl.