Mix tomatoes, broth, onion, carrot, celery, garlic, oil, oregano, rosemary, salt, and pepper in a 6-quart slow cooker. Nestle beef into sauce.
Cover; cook on low about 8 hours until beef reaches at least 145°F and shreds easily with two forks.
Transfer beef to a plate; shred into short strands, discarding obvious fat. Return to sauce.
Boil noodles in a large pot according to package directions until just tender, about 8 to 10 minutes. Reserve 1/2 cup cooking water; drain.
Toss noodles with beef sauce. Add reserved water a tablespoon at a time only if needed to loosen.
Divide evenly among 6 bowls, distributing both meat and pasta.