Oh, sorry, when I said to test, it I was thinking that perhaps, the watermelon wouldn’t be even density throughout, so its rotational intertia would be unknown. But later I figured that it was.
Alright, so there’s an actual answer for it.
Yes, but V[sub]max[/sub] is limited by the rotational velocity at which the watermelon would fly apart from centifugal stresses. It’s also limited by its terminal velocity, but we won’t know which limiting factor comes into play first until we know values for both.
Seeing as a Watermelon is named for Water, I would say the density profile would change as the melon rotated, with the fluids moving outward toward the inner part of the rind.
Just to add a wrench in the mix.
Get in touch with these guys. Someone must’ve tried it without wheels. 