I would probably try glass etching cream and "etch" the underside of the table.

I agree with Pixie. I think the wire wheel would damage the table top. Scratching and possibly chipping the glass.

My thoughts, too...do the underside of the table & use 'etching' process.

You can buy spray in a can to make glass look frosted. Just another idea :)

Thanks everyone!

Grittymitts

To get actual swirls you could try a rotary sander with a fine grit paper, and test it on sample pieces of glass first to see if you get the look you desire.