Factual error: Will Sawyer puts his wife and son in an elevator - he is going to cut the cable that would put them in a free fall traveling through the floors that are on fire. He instructs her to pull or activate the brake (or magnets in this hi-tech elevator) allowing them to escape the burning building. Given that they are above the 90th floor the acceleration of the free falling elevator would create a force so great that it would essentially push them to the ceiling, which would put this lever completely out of reach.
Suggested correction: They would float.
Other mistake: He jumps through the turbine blades, but he is attached to a rope that would have been caught up in the spinning mechanism.
Suggested correction: He put the rope around a small pole thing before he jumped.