Other forms: exhausted, exhausting, exhausts
The exhaust is the pipe that carries burnt gases away from an engine. Along the underside, and out at the back.
The system includes a silencer and, since the 1990s, a catalytic converter, which cleans the gases and is valuable enough to be stolen. A blowing exhaust is an obvious fault and a common one. There is a completely separate and very common verb meaning to use up entirely or to tire out, so exhausting a supply and being exhausted share a word with the pipe.
Exhaust is drawing the water out. Latin ex, out, plus haurio, to draw or to drain, so an exhausted person has been emptied the way a well is emptied.
Latin
exhaustus
English, today
exhaust
Built from
From Latin exhaustus. From Latin exhaustus, past participle of exhaurio (“to draw out, drink up, empty, exhaust”), from ex (“out”) + haurio (“to draw (especially water), drain”).
Etymology from Wiktionary, CC BY-SA