A thing that carries rotations (think wheels!) is most kinds of vehicles. So, it's kind of like saying you're "doing vehicles" here... but that doesn't make sense. What do you do to vehicles though? You drive them. That's why this word means to drive.

This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.