Something unacceptable is not okay — it's objectionable or displeasing. Hey, are you yelling in the library? That's unacceptable!
If a student's behavior is unacceptable, she may get detention or be sent to the principal's office. And if a restaurant patron's meal is unacceptable, he has every right to ask his server for something else. The adjective unacceptable adds the "not" prefix un- to acceptable, "suitable, adequate, or pleasing." We can trace the roots back to the Latin acceptare, "take or receive willingly."