How does ritalin (methylphenidate) work for anxiety?

Depends: Ritalin (methylphenidate) is sympathomimetic (adrenalin effects) & sets off neural activity within the sympathetic, fight & flight, branch of autonomic nerves. In normal people arouses exhilaration, alertness, feelings of control, anxious activity, and hypomania. In people with add and adhd opposite clinical effects occur & these people calmed down, can relax & maintain attention. Given to hyperactive people.

It doesn't: Ritalin (methylphenidate) is not a medication for anxiety -- in fact, in some it can worsen anxiety. Ritalin (methylphenidate) is typically prescribed for add/adhd in children and adults. Other medications and therapy work better for anxiety. Psychiatrists can help you with that; psychologists can help also, through various kinds of talk therapy.