Do bag was hat has and want have short a sounds?

The Words bag, hat, and has all have short A sounds.

The Word was has either a short O or short U sound (woz, wuz).

The Word want can have three different sounds, none of them a short A:

- short O as in font

- caret O as in haunt (British English)

- short U (colloquial English, to rhyme with hunt)