This is for the video experts: Why are films shot at 24 fps? Also, how do you convert 29.970 fps video to that framerate, while keeping all audio in sync with the video?
Films have been shot @ 24fps since the beginning of the sound era. It may have had something to do with Vitaphone synce issues, but I think it was that engineers found they got the best sound quality (of the time) at that frame rate.
Video transfers are done in North America according to a 3:2 ratio. That is, one frame is recorded for 3 fields, and the next is recorded for 2, with contiunuing alternation, resulting in a frame rate of 29.97fps with no noticeable flicker. Prior to DVD, this used to result in some goofy-looking artifacts, but they were only visible in slow-motion. You would have fields interlace that weren't supposed to, and the frame would jitter. DVD has a flagging system built in so that progressive scan displays 'drop' the redundant field. Some problem DVDs have crept through the system, but most are true to what I have said. 3:2 pulldown has its quirks, but generally works well, and is infitely preferable to PAL speedup.
I think I misunderstood your question. If you're converting the other way (video to film) I'm not sure how it works. I know that some companies do specialty 24fps video rigs for the film iundustry, but have no idea how exactly they work.