01 - Combine smoked paprika, garlic powder, onion powder, kosher salt, black pepper, and chili powder in a small bowl. Rub the spice mixture evenly over all surfaces of the trimmed chuck roast.
02 - Set the seasoned chuck roast in the bottom of the slow cooker insert.
03 - In a mixing bowl, whisk together barbecue sauce, beef broth, apple cider vinegar, brown sugar, and Worcestershire sauce until the sugar dissolves and the mixture is smooth. Pour the sauce evenly over the seasoned beef.
04 - Cover the slow cooker and cook on the low setting for 8 hours, or until the beef is fork-tender and pulls apart effortlessly.
05 - Carefully remove the beef from the slow cooker and transfer to a large cutting board. Using two forks, shred the meat along the grain, discarding any large pieces of fat. Return the shredded beef to the slow cooker and stir thoroughly to coat all the meat in sauce.
06 - Pile the saucy pulled beef onto burger buns and top with coleslaw, or serve over rice as desired.