Pulling clear packing tape straight out or straight up will give you that loud tearing sound, especially if you pull it off quickly. Pulling clear packing tape backwards at an extremely acute angle along the roll eliminates that loud cracking, ripping sound entirely.

I can't find any mention of this tip online, so I had to improvise with the image.

Enjoy!

I don't know if this is an issue for other people, but I always hated that noise.