1. To tear something, especially paper, into small pieces. A noun or pronoun can be used between "rip" and "up." The dog ripped up my presentation for science class—now what am I going to do? He began ripping the ticket up that had been left on his windshield for parking in a disabled spot.

2. To remove something from the ground or floor by pulling or tearing it very forcefully. A noun or pronoun can be used between "rip" and "up." Don't wear your cleats when you're running around my yard or you'll rip up the grass! We decided it made more since to just rip the carpet up rather than paying a specialist to come and clean it.