If you put your hand on someone’s arm, they will feel your touch; if you give them a piece of really bad news, they will feel sad. Feel means to be aware of a physical or emotional sensation.
Feel is most often used as a verb, meaning to physically touch or grope something or to be conscious of something emotionally. There’s also a noun form of feel, which describes an awareness of something or the physical property of something, like in the sentences, “This place has the feel of a palace,” or “She told me it was cotton, but it has the feel of silk.”