what does mean of "I rock" or "I will rock your world" ?

AnonymousI rock

I am great. / I am wonderful. / I am successful.

AnonymousI will rock your world

I will do something that you will think is wonderful and/or fantastic in an unexpected way.

CJ

"she rocks my world "can be taken in interpretation. told a woman I met and introduced to her friends that she rocked my world. no sexual content was intended. her friends took this wrong. what was meant! nice women I met and treated me nice. went out of her way to make a nice day in a picnic and beach. when I used this word it was someone who went out of there way and liked there company. not