Bronzeplate Boar

Reconfigure represents two activated abilities. Reconfigure [cost] means “[Cost]: Attach this permanent to another target creature you control. Activate only as a sorcery,” and “[Cost]: Unattach this permanent. Activate only if this permanent is attached to a creature and only as a sorcery.”

An Equipment doesn't become tapped when the permanent it's attached to becomes tapped. For example, if you attack with a creature that is equipped with Acquisition Octopus, then use reconfigure to unattach Acquisition Octopus after combat, the Octopus will be untapped and could be used to block during your opponent's turn.

Similarly, if an Equipment is tapped, its reconfigure abilities may still be activated and it may still become attached to creatures. Becoming attached doesn't untap it. In most cases, an attached Equipment being tapped won't affect gameplay, but it will be relevant if it becomes unattached again before it untaps.