Place 2-1/4 cups of flour in a bowl. Make a well in the center; add the eggs. Gradually mix with a wooden spoon until well blended. Knead on a floured surface until smooth, about 10 minutes. If necessary, add remaining flour to kneading surface or hands.
On a lightly floured surface, roll dough into a 16-in. x 12-in. rectangle, dusting top of dough with flour to prevent sticking. Crumble beef over dough; lightly press into dough; lightly press into dough. Sprinkle with celery, onion, green pepper, garlic powder, seasoned salt and pepper. Roll up, jelly-roll style, starting with a short side. Using a sharp knife, cut into 2-in. slices.
In a large kettle or Dutch oven, bring water and broth to a rapid boil. Drop pinwheels into the boiling liquid. Return to a gentle boil. Reduce heat; cover and simmer for 1 hour or until noodles are tender and meat is no longer pink. Serve with broth in soup bowls.