The phrase "second lap" refers to doing something for a second time. It can be used in various contexts to describe repeating an activity, going through a process again, or starting a new round of something. Full definition
He continued to be several seconds a lap faster than everyone as the lead increased. (wtf1.com)
However, after its 7 minutes 5.1 second lap of the Nurburgring last year, the EP9 can legitimately call itself the fastest electric car in the world. (evo.co.uk)
Originally released on the couch co-op heavy Nintendo 64, Mario's second lap in Mushroom Kingdom kart racing remains as addictive today as ever thanks to imaginative courses, accessible controls and an intense Battle mode that's yet to be beat by series successors. (nintendowire.com)