Compaq
Established
This is a question I've been wondering. How fast should my shutter speed be for it to be "acceptable" for me to take the show whilst walking slowly? Do you guys always completely stop to take the shot? Or, you know, take the time to "rid yourself of excess vibrations" after stopping? 
35mmdelux
Veni, vidi, vici
Higher than 1/125 would be best if shooting while walking. The faster the better.
kzphoto
Well-known
Depends on film speed and aperture on your lens. Also, how fast you're moving. I would say 1/125 or 1/250 if your subject is closer to you.
maddoc
... likes film again.
1/500s for me because the motion-speeds of me and the subject (if in motion) add up.
Thebes
Member
I commonly shoot while walking. Stopping is often better if you can, but that isn't always practical.
Try for at least 1/(4x focal length equivalent), faster is better, slower and you will have motion blur in many shots, but it depends upon technique too.
Avoid rotating the camera in a rapid fashion, pan, skew or tilt will cause more blur than simply moving the camera forward while walking forward.
If you shoot towards (or away) from the direction you are moving, you can use a slower shutter speed than if you shoot sideways.
Be sure you don't bounce the camera around when you walk, imagine you're shooting video with it.
Try for at least 1/(4x focal length equivalent), faster is better, slower and you will have motion blur in many shots, but it depends upon technique too.
Avoid rotating the camera in a rapid fashion, pan, skew or tilt will cause more blur than simply moving the camera forward while walking forward.
If you shoot towards (or away) from the direction you are moving, you can use a slower shutter speed than if you shoot sideways.
Be sure you don't bounce the camera around when you walk, imagine you're shooting video with it.