What is the purpose of rhetorical analysis?
The purpose of rhetorical analysis can be one of several things. If you want to learn how to write persuasive, effective speeches or articles, then it is worth studying the art of doing so. Or if your interest is understanding how some people have managed to sway their audience particularly effectively, then you also might want to study rhetoric.
This can be of mere academic interest (e.g., a study of successful—or unsuccessful—marketing or political campaigns to understand why they succeeded or failed).
Or it can be of practical use, so that a campaign or speech can be crafted to be optimally effective. Certainly, studying the art of rhetoric can help anyone who wants to persuade someone to their point of view.
It is also of benefit for all of us to understand how advertisers, politicians, or bosses can seek to manipulate our opinions by their use of rhetoric.