Acrylic will heat up pretty fast while the tool is in contact with it, so once you are into turning, I think you will be ok. Its the corners that might be a problem in the cold, as resins do get more brittle at lower temps. I would either trim off the corners before you turn, or just use light cuts until the corners are rounded off, then I don't think you will really need to worry about the temp. Friction will definitely take care of that for you. I love it when streamers come off my acrylic blanks all soft and pliable, then solidify right about shoulder area while they are still in the air. You can feel your tool as well...usually, my carbide tips are quite hot to the touch right after I remove them from the blank. This still seems to be the case, despite recently turning some resin blanks at around 35F the other day. I don't trim off my corners (yet, just got a bandsaw, and with a proper jig I may start doing that), so I just use very light passes to trim down the sharp corners first, then once they are well and rounded off to I really start going for the deeper cuts to get things down to size.