Is it normal that my baby doesn't stop crying?

Yes: Unfortunately, up to 4 hours in a row is expected for a colicky baby. Colics are less common in breast fed babies (forgot to add that to the "advantages of breast feeding" answer!), and the only thing i found that works consistently is a car ride (with the baby, not away from her!).

No: I believe that a crying baby is telling us that something is bothering them, whether it is gas, acid reflux or other stuff.A careful history usually can determine the cause, which then can be corrected.