He said the foundation of his beliefs breaks down into four principles: Aligning with the mission and core values of the university, a commitment to comprehensive excellence on the field, in the classroom and community, a centered focus on the student-athlete experience, and a bond with the community.
Babcock said he spoke with Frank Beamer after being offered the job, but has not met with him.
"I hope he coaches for a long time, wins a lot of games. In many facets, he's the brand of Virginia Tech athletics," Babcock said, adding that he has no preconceived ideas about any of Tech's coaches. "I'm much more interested in finding out what I can do to support coach Beamer than I am at this point worrying about having to replace him.
"He's a legend, he's a hall of famer and I can learn a lot from him."
Virginia Tech President Charles Steger said Babcock was chosen over two other finalists who he did not name.
"We believe that he has the character and energy and experience and the vision to lead our athletic department in the future," said Steger, who is retiring as the university's president on June 1.
He also praised Weaver, who held the job for 16 years, for leaving the athletic program in good shape, and said Weaver will be paid for the final two years of his contract while serving as a consultant to incoming president Timothy Sands.
Weaver, who revealed in 2008 that he is battling Parkinson's disease, has had four back surgeries in recent years, and last month had his second his replacement. He is due to have the other hip replaced in the near future.
"We support our folks when they have times of trouble," Steger said.