• I don't think that you can. Speed requires an element of time. Without time in some form, you can't calculate speed. However, it is possible that, in your problem, the time element is hidden inside of a more complex unit. For example, the newton (N) is a unit of force, but this is a complex unit that is actually a combination of simpler units. 1 N = 1 kg m/s/s. So, within the newton are elements of time. So, try looking more closely at the units of your problem. Time might actually be hidden in one or more of them.
  • Compare the rotation speed to something else's speed. The relative speed can still be useful. For example: In a slow motion film, watch a basketball spinning. Count how many times the ball spins fully around, in the time it takes for it to fall from the hoop to the ground. You are indirectly measuring time, because we can calculate how long such a fall would take. But there is no actual clock involved.

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