The picture above shows the full arc of rotation as a Beech Bonanza begins its takeoff roll at full power. This was shot with my Sigma 50-500mm lens in Shutter Priority (Tv) mode at 1/60 second.
This picture shows only a partial blur of the propeller as this Cessna 172 taxis out to the runway at low power. This was shot at a shutter speed of 1/125.The main thing is to get at least some sort of blur on the propeller. If the prop is still it looks like the airplane is either stopped on the ground or had an engine failure. To practice hand-holding the camera at this slow speed you can go out to your local freeway and practice on passing cars. Start out at 1/125 and shoot at that speed until you can sonsistantly get a nice, sharp photograph. Then try the next lowest speed. A few cumulative hours of this and you'll be ready to be handholding pictures as low as 1/50 second and have them come out crystal clear and sharp.