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Frame rates are standardized to an extent by the method you choose to deploy your animation.
There is a point at which motion appear to stop being fluid and looks very jerky, I believe that is around 10fps. Film uses 24 fps, PAL uses 25fps and NTSC uses 30fps. For a standalone animation that doesn’t need to match a current or future standard you can usually pick your fps arbitrarily. I suggest 24fps for smooth motion, you can also build the animation at 12fps and have each frame hold twice as long, this is called animating on twos. It is a trick from the old days when each frame of animation had to be hand drawn and is used to save time and work.