Here, atmospheric pressure/composition, temperature, and gravity won't be considered; let's assume that all of those are the same as on Earth.
Would we "rest/stay awake" however long or short it takes to rotate? Would we schedule business depending on that? Will our bodies adapt to that or will we break down because of too much or too little work or rest?
Would we stipulate a 24-hour period even if it's very out-of-sync with the rotation of that planet? This becomes very tricky if you've got multiple "sunrises" and/or "sunsets" within that 24-hour period, and those could happen on dramatically different points from one 24-our period to the next. It would be easier, though, if the rotation of that planet is very slow.
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