Sync different film speeds?

Will the DL3's sync with 24 frame 180 degree shutter(that's the standard shutter speed)? We have been shooting with the RED(digital camera) with no problems but a promo crew is coming in to shoot film and asked if it will have any flicker/sync problems. I figure it would be fine but just wanted to make sure. Also how about other speeds too 48 fps, 100 fps ect?