woof

The noun is derived from Middle English wof, oof, owf (“threads in a piece of woven fabric at right angles to the warp, weft, woof; also sometimes the warp; transverse filaments of a spider web”) [and other forms] (the forms beginning with w were influenced by warp and weft), from Old English ōwef, āwef, from ō-, ā- (prefix meaning ‘away; from; off; out’) + *wef (“web”) (only attested in the form gewef (“woof”); from wefan (“to weave”), from Proto-West Germanic *weban (“to weave”), from Proto-Germanic *webaną (“to weave”), from Proto-Indo-European *webʰ- (“to braid; to weave”)).

The verb is derived from the noun.

The interjection and noun are onomatopoeic. Interjection etymology 2, interjection sense 2 (“used to express strong physical attraction for someone”) probably alludes to the eager barking of a dog.

The verb is probably derived from the interjection and the noun. Verb etymology 2, verb sense 1.2 (“to eat (food) voraciously”) may be influenced by or, alternatively, derived from wolf (“to eat (food) voraciously, devour, gobble”).

From WWOOF, an acronym of World Wide Opportunities on Organic Farms which is a network of national organizations that facilitate homestays on organic farms.

Onomatopoeic.