Do whirlpools in water have the same rotation speed regardless of size?
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no the smaller the whirlpool the greater will be it's speed.
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A whirlpool is a vortex tube, and the strength of the vortex tube determines the (irrotational) velocity outside the vortex tube. One can vary the strength of the vortex tube to get rotational velocities of different magnitudes. From little whirlpools shed behind rocks in a stream (or see this tiny whirlpool that seems to have formed in shallow still waters; I can't figure its origins) to strong whirlpools, mother Nature can make them all sizes.
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